Lenses, lenses and devices

By alternating concave and convex bands in the lens, and utilizing the constructive interference of the probability amplitudes of bosons at the target position, the problem of the thickness and focal length limitations of convex lenses is solved, enabling the miniaturization and integrated application of lenses.

CN118938366BActive Publication Date: 2026-03-27BEIJING XIAOMI MOBILE SOFTWARE CO LTD
View PDF 1 Cites 0 Cited by

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-05-11
Publication Date
2026-03-27

AI Technical Summary

Technical Problem

The existing relationship between the thickness and focal length of convex lenses limits their application scenarios, and their significant attenuation effect on bosons restricts their application in certain fields.

Method used

Design a lens that uses alternating concave and convex bands. Through the rational design of the concave and convex bands, the bosons penetrating the concave and convex bands will cause constructive interference with probability amplitude at the first target position, thereby achieving the function of converging bosons. The focal length can be adjusted by adjusting the spacing between the convex and concave bands rather than the lens thickness.

Benefits of technology

This technology enables lenses to achieve both thinness and short focal length, reducing the attenuation effect on bosons, expanding the range of applications for lenses, and supporting miniaturization and integrated design.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN118938366B_ABST
    Figure CN118938366B_ABST
Patent Text Reader

Abstract

The disclosure provides a lens, a lens and a device, and belongs to the technical field of boson control. The lens has alternatingly arranged concave bands and convex bands. Through reasonable design of the concave bands and the convex bands, the bosons penetrating the concave bands and the convex bands can be made to constructively interfere at a first target position. Through alternating arrangement of the concave bands and the convex bands, the bosons penetrating the lens reach the first target position and constructively interfere, that is, the probability of the bosons appearing at the first target position is enhanced, so that the lens can play a role of converging the bosons. If the focal length of the lens is to be shortened, the thickness of the lens does not need to be increased, and only the distance between the two adjacent convex bands and the distance between the two adjacent concave bands need to be changed. Therefore, the lens can have a relatively thin thickness and a relatively short focal length, so that the lens is less limited by space, can be miniaturized and integrated, and can also reduce the attenuation of the lens to the bosons, thereby expanding the use range of the lens.
Need to check novelty before this filing date? Find Prior Art

Description

TECHNICAL FIELD

[0001] The present disclosure relates to the technical field of boson control, and in particular, to a lens, a lens and an apparatus. BACKGROUND

[0002] A convex lens is widely used in various optical lenses due to its converging effect on light rays.

[0003] Light rays parallel to the principal axis of the convex lens enter the convex lens and converge at the focal point of the principal axis after two refractions on both sides of the convex lens. The distance between the focal point and the center of the convex lens is the focal length.

[0004] The focal length of the convex lens is related to the thickness of the convex lens. The smaller the focal length, the greater the thickness, which limits the application scenarios of the convex lens. SUMMARY

[0005] The present disclosure provides a lens, a lens and an apparatus, which can solve the technical problems in the related art. The technical solutions of the lens, the lens and the apparatus are as follows:

[0006] In a first aspect, the present disclosure provides a lens, comprising at least one concave band and at least one convex band.

[0007] The concave bands and the convex bands are arranged alternately, and the bosons emitted from the concave bands and the convex bands constructively interfere at a first target position in terms of probability amplitude, wherein the first target position forms a focusing position of the lens.

[0008] In a possible implementation, the distance from the center line of the exit surface of the i-th convex band outside the second target position of the lens to the first target position is x i , and the distance from the center line of the exit surface of the i-th concave band outside the second target position of the lens to the first target position is y i .

[0009] Wherein, the second target position is opposite to the first target position, x i+1 -x i =y i+1 -y i =λ, λ is the wavelength of the boson applicable to the lens.

[0010] In a possible implementation, the phase of the boson emitted from the center line of the convex band and the phase of the boson emitted from the center line of the exit surface of the concave band at the exit point differ by an integer multiple of 180°.

[0011] In a possible implementation, the height difference between the center line of the exit surface of the convex band and the center line of the exit surface of the concave band is H.

[0012] wherein H = λ / (2 x (n-1)), wherein n is the refractive index of the lens.

[0013] In a possible implementation, phases of the bosons emitted from the concave zone and the convex zone at the first target position are the same.

[0014] In a possible implementation, the exit surface of the concave zone and the exit surface of the convex zone are both curved surfaces, and along a direction close to the second target position of the lens, heights of the exit surface of the concave zone and the exit surface of the convex zone gradually increase.

[0015] In a possible implementation, a height difference between any point of the exit surface of the concave zone and a center line is h 2p , h 2p = (y 1p -y1) / (n-1), wherein y 1p is a distance from any point of the exit surface of the concave zone to the first target position, and y1 is a distance from a center line of the exit surface of the concave zone to the first target position.

[0016] A height difference between any point of the exit surface of the convex zone and a center line is h 3p , h 3p = (x 1p -x1) / (n-1), wherein x 1p is a distance from any point of the exit surface of the convex zone to the first target position, and x1 is a distance from a center line of the exit surface of the convex zone to the first target position.

[0017] In a possible implementation, a height of an inner edge of the concave zone is equal to a height of an outer edge of the convex zone.

[0018] A height of an outer edge of the concave zone is different from a height of an inner edge of the convex zone by 2H.

[0019] In a possible implementation, the exit surface of the concave zone and the exit surface of the convex zone are both planes.

[0020] In a possible implementation, the concave zone and the convex zone are annular and concentrically arranged, and the first target position is a target point.

[0021] In a possible implementation, the lens further comprises a convex boss, and the convex boss is concentrically arranged with the concave zone and the convex zone.

[0022] An odd-numbered zone outside the convex boss is a concave zone, and an even-numbered zone outside the convex boss is a convex zone.

[0023] The Bose-Einstein condensate emitted from the convex boss, the convex band and the concave band is in phase-amplitude constructive interference at the first target position.

[0024] In a possible implementation, the distance from the center point of the exit surface of the convex boss to the first target position is L, the distance from the center line of the exit surface of the i-th convex band outside the convex boss to the first target position is x i , and the distance from the center line of the exit surface of the i-th concave band outside the convex boss to the first target position is y i .

[0025] x i+1 1-L=x i -y i+1 =y i =λ, where λ is the wavelength of the Bose-Einstein condensate applicable to the lens.

[0026] In a possible implementation, the Bose-Einstein condensate emitted from the center line of the convex boss, the Bose-Einstein condensate emitted from the center line of the convex band, and the Bose-Einstein condensate emitted from the center line of the exit surface of the concave band are in phase difference of 180° integer times at the exit point.

[0027] In a possible implementation, the height difference between the center line of the exit surface of the convex boss and the center line of the exit surface of the concave band is H;

[0028] H=λ / (2×(n-1)), where n is the refractive index of the lens.

[0029] In a possible implementation, the Bose-Einstein condensate emitted from the concave band and the convex band and the convex boss is in the same phase at the first target position.

[0030] In a possible implementation, the exit surface of the concave band, the exit surface of the convex band and the exit surface of the convex boss are all curved surfaces, and the height of the exit surface of the concave band, the exit surface of the convex band and the exit surface of the convex boss gradually increases along the direction close to the second target position of the lens.

[0031] In a possible implementation, the height difference between any point of the exit surface of the convex boss and the center point is h 1p , h 1p =(L p -L) / (n-1), where L p is the distance from any point of the exit surface of the convex boss to the first target position, and L is the distance from the center point of the exit surface of the convex boss to the first target position.

[0032] In a possible implementation, the exit surface of the concave band, the exit surface of the convex band and the exit surface of the convex boss are all flat surfaces.

[0033] In a possible implementation, the lens further comprises a groove, the groove is concentrically arranged with the convex bands and the concave bands;

[0034] The first odd-numbered band outside the groove is a convex band, and the first even-numbered band outside the convex band is a concave band;

[0035] The probability amplitude of the bosons emitted from the groove, the concave bands and the convex bands constructively interferes at the first target position.

[0036] In a possible implementation, the distance from the center point of the exit surface of the groove to the first target position is L, the distance from the center line of the exit surface of the i th convex band outside the groove to the first target position is x i , and the distance from the center line of the exit surface of the i th concave band outside the groove to the first target position is y i .

[0037] Wherein, y 1 - L = x i+1 -x i = y i+1 -y i = λ, λ is the wavelength of the boson applicable to the lens.

[0038] In a possible implementation, the phase of the boson emitted from the center line of the groove, the phase of the boson emitted from the center line of the exit surface of the concave band, and the phase of the boson emitted from the center line of the convex band are different by an integer multiple of 180° at the exit point.

[0039] In a possible implementation, the height difference between the center line of the exit surface of the convex band and the center line of the exit surface of the concave band and the groove is H;

[0040] Wherein, H = λ / (2 × (n - 1)), n is the refractive index of the lens.

[0041] In a possible implementation, the phases of the bosons emitted from the concave bands, the groove and the convex bands are the same at the first target position.

[0042] In a possible implementation, the exit surface of the concave band, the exit surface of the convex band and the exit surface of the groove are all curved surfaces, and the heights of the exit surface of the concave band, the exit surface of the convex band and the exit surface of the groove gradually increase along the direction close to the second target position of the lens.

[0043] In a possible implementation, the height difference between any point on the exit surface of the groove and the center point is h 1p , h 1p = (L pL / (n-1), where L p is the distance between any point on the exit surface of the groove and the first target position, and L is the distance between the center point of the exit surface of the groove and the first target position.

[0044] In a possible implementation, the exit surface of the concave band, the exit surface of the convex band, and the exit surface of the groove are all planes.

[0045] In a possible implementation, the concave band and the convex band are long strips, and the first target position is a target line.

[0046] In a possible implementation, the concave band and the convex band are long strips, and the first target position is a target line.

[0047] In a possible implementation, the concave band and the convex band are long strips, and the first target position is a target line.

[0048] The technical solutions provided by the present disclosure have at least the following beneficial effects:

[0049] The present disclosure provides a lens, which has concave bands and convex bands arranged alternately. Through reasonable design of the concave bands and the convex bands, the probability amplitude of a boson penetrating the concave bands and the convex bands can be constructively interfered at a first target position, that is, the probability of the boson appearing at the first target position can be greatly enhanced, so that the lens can play a role of converging the boson. If the focal length (the distance between the first target position and the lens) of the lens is to be shortened, the thickness of the lens does not need to be increased, but only the distance between two adjacent convex bands and the distance between two adjacent concave bands need to be changed. Thus, the lens can have a relatively thin thickness and a relatively short focal length, thereby reducing the attenuation of the lens on the boson and making the lens less limited by space, so that the lens can be miniaturized and integrated, thereby expanding the use range of the lens.

[0050] It should be understood that the foregoing general description and the following detailed description are only exemplary and explanatory, and cannot limit the present disclosure. BRIEF DESCRIPTION OF DRAWINGS

[0051] The accompanying drawings, which are incorporated into and form part of the specification, illustrate embodiments consistent with the present disclosure and, together with the specification, serve to explain the principles of the present disclosure. In the drawings:

[0052] Figure 1 is a schematic diagram of a lens according to an embodiment of the present disclosure;

[0053] Figure 2 is a schematic diagram of a lens according to an embodiment of the present disclosure;

[0054] Figure 3is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0055] Figure 4 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0056] Figure 5 is a schematic diagram of a plane mirror shown by an embodiment of the present disclosure;

[0057] Figure 6 is a schematic diagram of a wave characteristic curve of a plane mirror shown by an embodiment of the present disclosure;

[0058] Figure 7 is a schematic diagram of a top view of a concave band shown by an embodiment of the present disclosure;

[0059] Figure 8 is a schematic diagram of a sectional view of a concave band shown by an embodiment of the present disclosure;

[0060] Figure 9 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0061] Figure 10 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0062] Figure 11 is a schematic diagram of a wave characteristic curve of a lens shown by an embodiment of the present disclosure;

[0063] Figure 12 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0064] Figure 13 is a schematic diagram of a sectional view of a lens shown by an embodiment of the present disclosure;

[0065] Figure 14 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0066] Figure 15 is a schematic diagram of a sectional view of a lens shown by an embodiment of the present disclosure;

[0067] Figure 16 is a schematic diagram of a lens shown by an embodiment of the present disclosure;

[0068] Figure 17 is a schematic diagram of a boss shown by an embodiment of the present disclosure;

[0069] Figure 18 is a schematic diagram of a concave band shown by an embodiment of the present disclosure;

[0070] Figure 19 is a schematic diagram of a convex band shown by an embodiment of the present disclosure;

[0071] Figure 20 is a partial schematic view of a lens according to an embodiment of the present disclosure;

[0072] Figure 21 is a schematic view of a wave characteristic curve of a lens according to an embodiment of the present disclosure.

[0073] Legend:

[0074] 1, concave band, 2, convex band, 3, convex platform, 4, concave groove, O, first target position, B, second target position.

[0075] The above drawings have shown the explicit embodiments of the present disclosure, which will be described in more detail hereinafter. These drawings and written descriptions are not intended to limit the scope of the concept of the present disclosure by any means, but to illustrate the concept of the present disclosure to those skilled in the art by referring to specific embodiments. DETAILED DESCRIPTION

[0076] In order to make the purposes, technical solutions and advantages of the present disclosure clearer, the embodiments of the present disclosure will be described in further detail below with reference to the drawings.

[0077] The terms used in the embodiments of the present disclosure are only used to explain the embodiments of the present disclosure, and are not intended to limit the present disclosure. Unless otherwise defined, the technical terms or scientific terms used herein should be understood as the general meanings understood by those skilled in the art to which the present disclosure belongs. The terms "first", "second", "third" and the like used in the specification and claims of the present patent application do not represent any order, number or importance, but are only used to distinguish different components. Similarly, "one" or "a" and the like do not represent a quantity limitation, but represent the existence of at least one. The terms "including", "containing" and the like mean that the elements or objects appearing before "including" or "containing" cover the elements or objects listed after "including" or "containing" and their equivalents, and do not exclude other elements or objects. The terms "connected" or "connected" and the like are not limited to physical or mechanical connections, but can include electrical connections, whether direct or indirect. "Up", "down", "left", "right" and the like are only used to represent relative positional relationships, and when the absolute position of the described object changes, the relative positional relationship may also change accordingly.

[0078] A convex lens is widely used in various optical devices, such as a photoetching machine and smart glasses, because of its converging effect on light rays. Light rays parallel to the main optical axis of the convex lens enter the convex lens and converge at the focal point of the main optical axis after two refractions on both sides of the convex lens. The distance between the focal point and the center of the convex lens is the focal length. The focal length of the convex lens is related to the thickness of the convex lens, and the smaller the focal length, the greater the thickness, which limits the application scenarios of the convex lens. In addition, the thicker the lens, the greater the attenuation effect on bosons. Moreover, the existing lens can only be used to process light rays, and the application field is limited.

[0079] In view of the above technical problems, the lens provided by the embodiments of the present disclosure can have a relatively thin thickness and a relatively short focal length, so that the lens is less limited in the thickness direction. In addition, the attenuation effect of the lens on bosons can be reduced.

[0080] Next, the lens provided by the embodiments of the present disclosure is exemplarily described.

[0081] As shown in Figures 1-4 , the lens includes at least one concave band 1 and at least one convex band 2, the concave band 1 and the convex band 2 are arranged alternately, and the bosons emitted from the concave band 1 and the convex band 2 constructively interfere in a first target position O, wherein the first target position O forms a focusing position of the lens.

[0082] In some examples, the convex band 2 can be realized by coating a film on a plane mirror, and the uncoated part is the concave band 1. This method can be applied to the case where the focal length of the lens is relatively small. In other examples, the concave band 1 can also be formed by etching on a plane mirror, and the unetched part is the convex band 2.

[0083] The lens provided by the embodiments of the present disclosure has alternately arranged concave bands 1 and convex bands 2. Through reasonable design of the concave bands 1 and the convex bands 2, the bosons passing through the concave bands 1 and the convex bands 2 can constructively interfere at the first target position O, so that the probability of the bosons appearing at the first target position O is enhanced, and the lens can converge the bosons at the first target position O.

[0084] If the focal length (the distance between the first target position O and the lens) of the lens is to be shortened, the thickness of the lens does not need to be increased, and only the distance between the adjacent two convex bands 2 and the distance between the adjacent two concave bands 1 need to be changed. Therefore, the lens can have a relatively thin thickness and a relatively short focal length, so that the lens is less limited in space, thereby expanding the use range of the lens.

[0085] In some examples, as shown in Figure 1 , the concave bands 1 and the convex bands 2 are annular and concentrically arranged, and the first target position O is a target point, that is, the bosons passing through the lens converge into a point.

[0086] In some examples, as shown in FIG. 1, the concave bands 1 and the convex bands 2 are annular, and the lens further comprises a convex boss 3 arranged concentrically with the concave bands 1 and the convex bands 2. The odd-numbered bands outside the convex boss 3 are the concave bands 1, and the even-numbered bands outside the convex boss 3 are the convex bands 2. The probability amplitudes of the bosons emitted from the convex boss 3, the concave bands 1 and the convex bands 2 constructively interfere at the first target position O. Figure 1 Figure 2 In some examples, as shown in FIG. 2, the concave bands 1 and the convex bands 2 are annular, and the lens further comprises a concave groove 4 arranged concentrically with the convex bands 2 and the concave bands 1. The odd-numbered bands outside the concave groove 4 are the convex bands 2, and the even-numbered bands outside the concave groove 4 are the concave bands 1. The probability amplitudes of the bosons emitted from the concave groove 4, the concave bands 1 and the convex bands 2 constructively interfere at the first target position O.

[0087] In some examples, as shown in FIG. 3, the concave bands 1 and the convex bands 2 are annular, and the lens further comprises a convex boss 3 arranged concentrically with the concave bands 1 and the convex bands 2. The odd-numbered bands outside the convex boss 3 are the concave bands 1, and the even-numbered bands outside the convex boss 3 are the convex bands 2. The probability amplitudes of the bosons emitted from the convex boss 3, the concave bands 1 and the convex bands 2 constructively interfere at the first target position O. Figure 3 In some examples, as shown in FIG. 4, the concave bands 1 and the convex bands 2 are annular, and the lens further comprises a concave groove 4 arranged concentrically with the convex bands 2 and the concave bands 1. The odd-numbered bands outside the concave groove 4 are the convex bands 2, and the even-numbered bands outside the concave groove 4 are the concave bands 1. The probability amplitudes of the bosons emitted from the concave groove 4, the concave bands 1 and the convex bands 2 constructively interfere at the first target position O.

[0088] Figure 4 In some examples, as shown in FIG. 5, the concave bands 1 and the convex bands 2 are long strips, and the first target position O is a target line, i.e., the light rays converge into a straight line after passing through the lens.

[0089] Next, the principle of the lens provided by the embodiments of the present disclosure for realizing light convergence is exemplarily described as follows:

[0090] As shown in FIG. 6, assuming that the lens does not have the concave bands 1 and the convex bands 2, the lens is a plane mirror. According to quantum electrodynamics, the bosons can appear in all possible paths. When a large number of bosons pass through the plane mirror, the probability of the appearance of the bosons at a certain point presents a fluctuation characteristic according to the wave fluctuation law between the bosons. Figure 5 According to quantum electrodynamics, the sum of the probabilities of the appearance of the bosons at all points in the allowed space range is 1. For the identical bosons, when m identical bosons are in the same state at the first target position O (the probability amplitudes of a large number of bosons constructively interfere), the probability of the appearance of another boson at the first target position O in the same state increases by m+1 times (under the premise that there is no probability amplitude of other identical bosons destructively interfering). Therefore, when the m identical bosons meet the condition of the probability amplitude of the appearance of the bosons at the first target position O constructively interfering, the probability of the appearance of these bosons at the first target position O increases by m! (i.e., m×(m-1)×(m-2)×……×1) times, so that almost all the bosons converge to the first target position O, i.e., the probability of the appearance of all the bosons at the first target position O is almost 1.

[0091]

[0092] ​​​On the contrary, when the probability amplitudes of the multiple bosons at the first target position O cancel each other out (i.e. the phases of the multiple bosons differ by 180°), the probability of the boson appearing at the first target position O decreases, until the probability of the boson appearing at the first target position O is zero.

[0093] The phase change of the boson is related to the distance traveled by the boson. When the distance traveled by the boson is one wavelength of the boson, the phase change of the boson is 2π (360°), which can also be regarded as the phase of the boson not changing after the distance traveled by the boson is one wavelength. Therefore, when the two paths to the first target position O differ by one or more wavelengths, the phase change of the boson after passing through the two paths to the first target position O is the same. If the initial phase of the boson on the two paths is the same, the phase after reaching the first target position O is also the same, and therefore the probability amplitudes of the bosons on the two paths interfere constructively at the first target position O, i.e. converge at the first target position O.

[0094] When the distance traveled by the boson is one-half wavelength of the boson, the phase change of the boson is π (180°), which can also be regarded as the phase of the boson being opposite to the initial phase after the distance traveled by the boson is one-half wavelength. Therefore, when the two paths to the first target position O differ by one-half wavelength, the phase change of the boson after passing through the two paths to the first target position O differs by 180°. If the initial phase of the boson on the two paths is the same, the phase after reaching the first target position O differs by 180°, i.e. the phases are opposite, and therefore the probability amplitudes of the bosons on the two paths interfere destructively at the first target position O, i.e. the bosons on the two paths will not appear at the first target position O.

[0095] Next, the wave characteristics of the boson after passing through the mirror to the first target position O (as shown in FIG. 1) are analyzed. Figure 5

[0096] The boson reaching the first target position O from a4 is the first boson, and the path of a4 reaching the first target position O is the first path. The boson reaching the first target position O from a3 is the second boson, and the path of a3 reaching the first target position O is the second path. The boson reaching the first target position O from a2 is the third boson, and the path of a2 reaching the first target position O is the third path.

[0097] The first path is a straight line, and the second and third paths are reflected by the mirror. Figure 5 ​It can be seen that the first path is the shortest path among all paths, and the farther the exit point is from a4, the longer the path to the first target position O. Therefore, there will always be a path that is one-half wavelength different from the first path, so that the boson passing through the path to the first target position O is 180° out of phase with the first boson reaching the first target position O. Assuming that the second path is one-half wavelength longer than the first path, the phase of the second boson at the first target position O is 180° out of phase with the phase of the first boson at the first target position O, so that the first boson and the second boson at the first target position O are in destructive interference of probability amplitude. Similarly, assuming that the third path is one-half wavelength longer than the second path, the third boson and the second boson at the first target position O are in destructive interference of probability amplitude.

[0098] Assuming that there is a fourth path, and the fourth path is between the first path and the second path, the fourth boson reaches the first target position O through the fourth path, and there will be a path between the second path and the third path that is one-half wavelength longer than the fourth path. Let this path be the fifth path, and the boson reaching the first target position O through the fifth path be the fifth boson, then the fifth boson and the fourth boson at the first target position O are in destructive interference of probability amplitude.

[0099] From the above reasoning, it can be seen that after the boson passes through any point on the plane mirror to reach the first target position O, there will be a boson reaching the first target position O with a phase difference of 180°, resulting in destructive interference of probability amplitude of the two kinds of bosons. Thus, the probability of the boson appearing at the first target position O is 0, that is, the boson will not be focused on the first target position O but will continue to move straight. Thus, the wave characteristic curve of the boson emitted from different positions of the plane mirror at the first target position O can be obtained, as shown in Figure 6 where ω represents the exit position of the boson, and represents the wave amplitude of the boson reaching the first target position O.

[0100] From the above description, it can be seen that if the probability amplitude of the boson reaching the first target position O through any path after passing through the lens at the first target position O is in constructive interference, the lens can have the function of converging the boson.

[0101] The lens provided by the embodiments of the present disclosure has a concave band 1 and a convex band 2, and by reasonably designing the concave band 1 and the convex band 2, the path of the boson passing through the lens can be adjusted, and the boson emitted from the concave band 1 and the convex band 2 can be made to produce constructive interference of probability amplitude at the first target position O. Thus, the function of converging light at the first target position O is realized.

[0102] Next, the related dimensions of the concave band 1 and the convex band 2 are described:

[0103] As shown in Figures 1-4 , the distance from the center line of the exit surface of the i-th convex band 2 outside the second target position B to the first target position O is x i , and the distance from the center line of the exit surface of the i-th concave band 1 outside the convex boss 3 to the first target position O is y i .

[0104] Wherein, the second target position B is opposite to the first target position O. When the concave band 1 and the convex band 2 are both annular, and the lens further comprises a convex boss 3 or a concave groove 4, the center point of the exit surface of the convex boss 3 or the concave groove 4 is the second target position B. When the concave band 1 and the convex band 2 are long strip-shaped, the center line of the exit surface of the concave band 1 or the convex band 2 opposite to the first target position O is the second target position B. i is the path that the boson emitted from the center line of the exit surface of any convex band 2 reaches the first target position O, and y i is the path that the boson emitted from the center line of the exit surface of any concave band 1 reaches the first target position O.

[0105] As shown in Figure 7 and Figure 8 , the center line S is equal to the inner edge S1 and the outer edge S2 of the convex band 2 or the concave band 1 (both are m i ), wherein the inner edge S1 is the edge line of the convex band 2 or the concave band 1 close to the second target position B, and the outer edge S2 is the edge line of the convex band 2 or the concave band 1 away from the second target position B.

[0106] Suppose that the phases of the bosons emitted from the center line of the exit surface of any convex band 2 are the same, in order to make the phases of the bosons reaching the first target position O still consistent, x i+1 -x i = λ, λ is the wavelength of the boson applicable to the lens.

[0107] In this way, it can be ensured that the phase change amount of the bosons emitted from the exit surface of any convex band 2 through each path is the same. Since the phase change speed of the bosons in the lens is consistent, when the heights of all the convex bands 2 are equal (as shown in Figure 9 , x 1a = x 2a , wherein x 1a is the height of the first convex band 2 outside the second target position B, and x 2a is the height of the second convex band 2 outside the second target position B.), the phases of the bosons emitted from the center line of the exit surface of the multiple convex bands 2 are the same.

[0108] Similarly, assuming that the phase of the bosons emitted from the center line of the exit surface of each groove 1 is the same, in order to ensure that the phase of the bosons reaching the first target position O is still consistent, y i+1 -y i = λ, so that the phase change of the bosons emitted from the exit surface of each groove 1 is the same, thereby ensuring that the phase of the bosons emitted from the exit surface of each groove 1 reaching the first target position O is the same.

[0109] When the grooves 1 and the convex bands 2 are annular, and the lens includes the convex platform 3, the second target position B is the center point of the exit surface of the convex platform 3. Assuming that the phase of the bosons emitted from the center line of the exit surface of the convex platform 3 is the same as the phase of the bosons emitted from the center line of the exit surface of each convex band 2, in order to ensure that the phase of the bosons reaching the first target position O is still consistent, x i+1 -x i = y i+1 -y i = λ, thereby ensuring that the phase of the bosons emitted from the exit surface of the convex platform 3 and the convex band 2 reaching the first target position O is the same. Wherein, L is the path of the bosons emitted from the center point of the exit surface of the convex platform 3 (the second target position B) reaching the first target position O, x i is the distance from the center line of the exit surface of the first convex band 2 outside the convex platform 3 to the first target position O, x i is the distance from the center line of the exit surface of the i-th convex band 2 outside the convex platform 3 to the first target position O, and i is an integer greater than 0. For example, when the lens includes five convex bands 2, x i may be 1, 2, 3, 4, and x i+1 -x i may be x2-x1, x3-x2, x4-x3, x5-x4. When the lens includes four grooves 1, y i may be 1, 2, 3, and y i+1 -y i may be y2-y1, y3-y2, y4-y3.

[0110] Similarly, when the grooves 1 and the convex bands 2 are annular, and the lens includes the concave platform 4, the second target position B is the center point of the exit surface of the concave platform 4. The distance from the center line of the exit surface of the i-th convex band 2 outside the concave platform 4 to the first target position is x i , and the distance from the center line of the exit surface of the i-th groove 1 outside the concave platform 4 to the first target position is y i . Then y i+1-x i =y i+1 -y i =λ, thus ensuring that the bosons emitted from the exit surfaces of groove 4 and concave band 1 have the same phase when they reach the first target position O. Here, L is the path taken by the boson emitted from the center point of the exit surface of groove 4 to reach the first target position O. y1 is the distance from the center line of the exit surface of the first concave band 1 outside groove 4 to the first target position O, and x... i y is the distance from the center line of the exit surface of the i-th convex band 2 outside the groove 4 to the first target position O. i Let be the distance from the center line of the exit surface of the i-th concave strip 1 outside the groove 4 to the first target position O. Here, i is an integer greater than 0. For example, when the lens includes four concave strips 1, for y... i If i can be 1, 2, or 3, then y i+1 -y i It can be y2-y1, y3-y2, y4-y3. When the lens includes five convex bands 2, for x... i If i can be 1, 2, 3, or 4, then x i+1 -x i It can be x2-x1, x3-x2, x4-x3, or x5-x4.

[0111] When the concave band 1 and the convex band 2 are elongated, the centerline of the exit surface of the concave band 1 or the convex band 2 opposite to the first target position O is the second target position B. Assuming the concave band 1 and the convex band 2 are symmetrically distributed along a certain convex band 2, then the centerline of the exit surface of that convex band 2 is the second target position B. The distance from the centerline of the exit surface of the first convex band 2 on both sides of this convex band 2 to the first target position O is x1, and the distance from the centerline of the exit surface of the i-th convex band 2 on both sides of this convex band 2 to the first target position O is x. i The distance from the center line of the exit surface of the first concave band 1 on both sides of the convex band 2 to the first target position O is y1, and the distance from the center line of the exit surface of the i-th concave band 1 on both sides of the convex band 2 to the first target position O is y1. i Where i is an integer greater than 0, for example, when there are five convex bands 2 on both sides of the convex band 2, for x i If i can be 1, 2, 3, or 4, then x i+1 -x i It can be x2-x1, x3-x2, x4-x3, x5-x4. When the convex band 2 has four concave bands 1 on both sides, for y i If i can be 1, 2, or 3, then y i+1 -y i The possible values ​​are y2-y1, y3-y2, and y4-y3. The distance from the centerline of the exit surface of the convex band 2 to the first target position O is L, then x1-L=xi+1 x i = y i+1 - y i = λ, so as to ensure that the phases of the bosons emitted from the exit surface of any convex band 2 are the same when reaching the first target position O.

[0112] As Figure 2 shown, the angle between the path of the bosons from the convex band 2 to the first target position O and the main optical axis of the lens gradually increases from inside to outside, so as to ensure that x i+1 x i = λ, the distance between the center lines of the exit surfaces of the adjacent two convex bands 2 should gradually decrease from inside to outside. Similarly, the distance between the center lines of the exit surfaces of the adjacent two concave bands 1 gradually decreases from inside to outside. In this way, the width of the concave band 1 on the inside is greater than that on the outside, and the width of the convex band 2 on the inside is greater than that on the outside.

[0113] When the concave band 1 and the convex band 2 are both annular, and the lens further comprises a convex boss 3, the diameter of the convex boss 3 is greater than the width of any convex band 2. When the concave band 1 and the convex band 2 are both annular, and the lens further comprises a concave groove 4, the diameter of the concave groove 4 is greater than the width of any concave band 1.

[0114] Next, how to ensure that the phases of the bosons emitted from the center line of the exit surface of the concave band 1 and the phases of the bosons emitted from the center line of the exit surface of the convex band 2 are the same at the first target position O are exemplarily described as follows:

[0115] In some examples, the phases of the bosons emitted from the center line of the exit surface of the concave band 1 and the phases of the bosons emitted from the center line of the exit surface of the convex band 2 are different by 180° integer times at the exit point.

[0116] In addition, when the concave band 1 and the convex band 2 are both annular, and the lens has a convex boss 3, the phases of the bosons emitted from the center line of the exit surface of the concave band 1 and the phases of the bosons emitted from the center line of the exit surface of the convex boss 3 are different by 180° integer times at the exit point.

[0117] When the concave band 1 and the convex band 2 are both annular, and the lens has a concave groove 4, the phases of the bosons emitted from the center line of the exit surface of the concave groove 4 and the phases of the bosons emitted from the center line of the exit surface of the convex band 2 are different by 180° integer times at the exit point.

[0118] After calculation, when the height difference H between the center line of the exit surface of the convex band 2 (or the convex boss 3) and the center line of the exit surface of the concave band 1 (or the concave groove 4) is H = λ / (2×(n-1)), the above-mentioned phases of the bosons emitted from the center line of the exit surface of the convex band 2 (or the convex boss 3) and the phases of the bosons emitted from the center line of the exit surface of the concave band 1 (or the concave groove 4) are different by 180° integer times at the exit point. As Figure 2As shown, λ is the wavelength of the boson, and n is the refractive index of the lens.

[0119] The above calculations show that by setting H, the distance between the center lines of two adjacent concave bands 1 and the distance between the center lines of two adjacent convex bands 2, and, when the lens also includes a boss 3 or a groove 4, calculating the distance between the center point of the exit surface of the boss 3 and the center line of the exit surface of the convex band 2, or the distance between the center point of the exit surface of the groove 4 and the center line of the exit surface of the concave band 3, the bosons can generate constructive interference of probability amplitude at the first target position O, thereby focusing at the first target position O and forming a focal point at the first target position O.

[0120] The value of H is related to the wavelength λ of the boson to which the lens is applicable and the refractive index n of the lens. When the wavelength λ of the boson to which the lens is applicable decreases, H should also decrease accordingly. Therefore, when the wavelength λ of the boson to which the lens is applicable is constant, H is a constant value. For example, when the boson is red light, the wavelength λ of red light is 348 nm, and calculations show that H is only on the nanometer scale. Thus, the height difference between convex band 2 and concave band 1 is extremely small. The thickness of concave band 1 can be made as thin as possible within the limits of the manufacturing process, even to zero. When the thickness of concave band 1 is zero, the thickness of convex band 2 is H.

[0121] When both the concave band 1 and the convex band 2 are elongated, the focal length of the lens (the distance between the first target position O and the second target position B) depends only on the distance between two adjacent concave bands 1 and the distance between two adjacent convex bands 2. When both the concave band 1 and the convex band 2 are annular, and the lens has a boss 3, the focal length depends on the distance between the boss 3 and the convex band 2, the distance between two adjacent concave bands 1, and the distance between two adjacent convex bands 2. When both the concave band 1 and the convex band 2 are annular, and the lens has a groove 4, the focal length depends on the distance between the groove 4 and the concave band 1, the distance between two adjacent concave bands 1, and the distance between two adjacent convex bands 2. Therefore, adjusting the focal length of the lens only requires adjusting the above distances, without adjusting the lens thickness, thus allowing the lens to have both a thinner thickness and a shorter focal length.

[0122] The lens provided in this embodiment is suitable for use with coherent waves in the wavelength range of λ ± 10%λ.

[0123] In some examples, such as Figures 1-4 As shown, the exit surfaces of both the concave band 1 and the convex band 2 are planar. When the concave band 1 and the convex band 2 are annular and the lens also includes a boss 3 or a groove 4, the exit surface of the boss 3 or the groove 4 can also be planar.

[0124] The processing technology of the lens is simple, the convex band 2 or the convex platform 3 can be formed by coating the film on the plane mirror, the concave band 1 or the concave groove 4 is the place not coated with film, or the concave band 1 or the concave groove 4 can be obtained by etching on the plane mirror, and the convex platform 3 and the convex band 2 are not etched.

[0125] Figure 10 The local schematic view of the lens whose exit surface of the concave band 1 and the exit surface of the convex band 2 are both planes, Figure 11 The lens is a Bose lens Figure 10 The wave characteristic curve after the Bose reaches the first target position O. Wherein, ω represents the position of the Bose when it is shot from the exit surface of the lens, The wave amplitude of the Bose after reaching the first target position O.

[0126] It can be seen from Figure 11 that the wave amplitude of the Bose after reaching the first target position O from the exit surface of the lens is positive, that is, the phase difference of the Bose after reaching the first target position O from the exit surface of the lens is less than 180°, so that the probability amplitude of the Bose after reaching the first target position O from any point on the exit surface of the lens is in phase interference, so that the lens has the function of converging the Bose at the first target position O.

[0127] In order to further enhance the effect of converging the Bose provided by the lens of the embodiment of the present disclosure, as shown in Figures 12-16 , the exit surface of the concave band 1 and the exit surface of the convex band 2 are both set as curved surfaces, and the height of the exit surface of the concave band 1 and the exit surface of the convex band 2 gradually increases along the direction close to the second target position B of the lens.

[0128] As shown in Figure 12 and Figure 13 , when the concave band 1 and the convex band 2 are both annular, and the lens further comprises the convex platform 3, the convex platform 3 can also be set as a curved surface, and the height of the exit surface of the convex platform 3 gradually increases along the direction close to the second target position B (the center point of the exit surface of the convex platform 3) of the lens. In this way, the phases of the Bose after reaching the first target position O through any point on the exit surface of the convex platform 3, any point on the exit surface of the concave band 1 and any point on the exit surface of the convex band 2 are the same.

[0129] As shown in Figure 14 and Figure 15 , when the concave band 1 and the convex band 2 are both annular, and the lens further comprises the concave groove 4, the concave groove 4 can also be set as a curved surface, and the height of the exit surface of the concave groove 4 gradually increases along the direction close to the second target position B (the center point of the exit surface of the concave groove 4) of the lens. In this way, the phases of the Bose after reaching the first target position O through any point on the exit surface of the concave groove 4, any point on the exit surface of the concave band 1 and any point on the exit surface of the convex band 2 are the same.

[0130] The following is explained in conjunction with the drawings:

[0131] The path of the boson to the first target position O includes a path in the lens and a path in the air, the speed of phase change of the boson in the lens is consistent, the speed of phase change of the boson in the air is also consistent, and the speed of phase change of the boson in the lens is greater than the speed of phase change of the boson in the air. Therefore, reasonably reducing the distance traveled by the boson in the lens and increasing the distance traveled by the boson in the air can reduce the amount of change in the phase of the boson in the entire path. Similarly, reasonably increasing the distance traveled by the boson in the lens and reducing the distance traveled by the boson in the air can increase the amount of change in the phase of the boson in the entire path.

[0132] As shown in Figure 17 , taking the lens including the boss 3, the concave band 1 and the convex band 2 as an example, assuming that the exit surface of the boss 3 is a plane (as shown in the dashed line in Figure 17 , the paths of the bosons emitted from each exit point in the boss 3 are the same when the bosons penetrate the boss 3 to reach the first target position O, but the path of the boson emitted from a non-central point in the air is greater than the path of the boson emitted from a central point in the air, that is, L p ' is greater than L. This will cause the amount of change in the phase of the boson on the path L p ' to be greater than the amount of change in the phase of the boson on the path L, causing the phases of the bosons emitted from the boss 3 to reach the first target position O to be inconsistent, affecting the effect of probabilistic amplitude constructive interference.

[0133] It should be noted that the more the exit point deviates from the central axis of the boss 3, the greater the amount of change in the phase of the boson reaching the first target position O through the exit point.

[0134] In order to improve the effect of probabilistic amplitude constructive interference, the amount of change in the phase of the boson on the path L + L a can be reduced on other paths while ensuring that the amount of change in the phase of the boson on the path L p L p is unchanged. For example, as shown in the solid line in Figure 16 , the part of the non-central point of the boss 3 can be thinned, and the farther the part from the central point, the greater the amount of thinning. That is, as shown in Figure 16 and Figure 17 , the exit surface of the boss 3 is a curved surface, and the height of the exit surface of the boss 3 gradually increases along the direction close to the main optical axis of the lens.

[0135] In this way, one is to reduce the total path of the boson, for example, as shown in Figure 17 , L p is obviously smaller than L p ' + h 1pThen L pa +L p Less than L pa +h 1p +L p Secondly, it can reduce the path length of bosons in the lens (reducing h). 1p This reduces the amount of change in the boson phase.

[0136] After calculation, when path L a Length and path L pa The difference in length h 1p =(L p When -L) / (n-1), the boson travels through path L pa +L p The subsequent phase change is equal to the boson's path L. a The phase change after +L. Where, L p Let L be the distance between any point on the exit surface of the protrusion 3, excluding the center point (second target position B), and the first target position O. Let L be the distance from the center point of the exit surface of the protrusion 3 to the first target position O.

[0137] In this way, the phase and quantum state of the bosons after reaching the first target position O at any point on the exit surface of the protrusion 3 are the same, and the probability amplitude is constructive interference, which greatly increases the probability of the bosons reaching the first target position O (specifically, the probability of the system of m bosons is increased by m! times).

[0138] Similarly, when both the concave band 1 and the convex band 2 are annular, and the lens also includes a groove 4, the path L a Length and path L pa The difference in length h 1p =(L p -L) / (n-1). Where L p L is the distance between any point on the exit surface of groove 4, excluding the center point (second target position B), and the first target position O.

[0139] When the concave band 1 and the convex band 2 are elongated, such as Figure 16 As shown, assuming the concave band 1 and the convex band 2 are symmetrically distributed along a certain convex band 2, then the convex band 2 can also be set as a curved surface, and the height of the convex band 2 gradually increases along the direction of the center line of the exit surface of the convex band 2. It is understandable that... Figure 17 This can also be viewed as a schematic diagram of the convex band 2. Let L be the distance from the center line of the exit surface of the convex band 2 (the second target position B) to the first target position O. p For any point on the exit surface of the convex band 2, excluding the centerline, and the position O of the first target, then when the path L is satisfied... a Length and path Lpa The difference in length is h 1p =(L p When -L) / (n-1), it is possible to achieve the same phase for bosons that reach the first target position O from any point on the exit surface of the convex band 2.

[0140] like Figure 18 As shown, assume that the exit surface of concave zone 1 is a plane (e.g., Figure 18 (As shown by the dashed lines in the image), when a boson penetrates the concave zone 1 and reaches the first target position O, the paths of bosons emitted from each exit point in the lens are the same. However, the paths of bosons emitted from non-center lines in the air are either greater or less than the paths of bosons emitted from center lines in the air, such as y. 1q 'Greater than y1, y 1p 'Less than y1. This will cause the boson to be on path y 1q The change in phase on the upper path is greater than the change in phase of the boson on path y1. 1p The change in phase is less than the change in phase of the boson along path y1, causing the phase of the boson emitted from concave zone 1 to the first target position O to be inconsistent, which affects the effect of probability amplitude constructive interference.

[0141] To improve the effect of probabilistic amplitude constructive interference, while ensuring that the bosons move along path y... 1+ y 1a Assuming the change in upper phase remains constant, the change in boson phase along other paths can be decreased or increased. For example... Figure 18 The solid line in the diagram shows a shape where the portion of the concave band 1 closer to the lens's second target position B relative to the center line is thickened, and the portion of the concave band 1 further away from the lens's second target position B relative to the center line is thinned. Furthermore, the closer the portion is to the second target position B, the greater the thickening, and the further the portion is from the second target position B, the greater the thinning. That is, as... Figure 18 As shown, the exit surface of the concave band 1 is curved, and the height of the exit surface of the concave band 1 gradually increases along the direction close to the second target position B of the lens.

[0142] In this way, firstly, it is possible to change the total path taken by the boson, for example, as... Figure 18 As shown, y 1p +h 2p Greater than y 1p ', then y 1pa +y 1p Greater than y 1pa -h 2p +y 1p ', and y 1q Less than y 1q '+h 2q , then y 1qa+y 1q Less than y 1qa +h 2q +y 1q Secondly, it can change the path of bosons in the lens (reducing h). 2q Increased h 2p This alters the change in the phase of the boson.

[0143] After calculation, when path y 1pa Length and path y 1a The difference in length h 2p =(y 1p When -y1) / (n-1), the boson travels through path y 1pa +y 1p The subsequent phase change is equal to the boson's path y 1a The phase change after +y1. When path y 1qa Length and path y 1a The difference in length h 2q =(y 1q When -y1) / (n-1), the boson travels through path y 1qa +y 1q The subsequent phase change is equal to the boson's path y 1a The phase change after +y1.

[0144] Among them, y 1p Let y be the distance from any point on the exit surface of the portion of the concave zone 1 that is closer to the lens than the second target position B to the first target position O. 1q Let y1 be the distance from any point on the exit surface of the concave band 1, which is further away from the second target position B of the lens than the center line, to the first target position O. Let y1 be the distance from the center line of the exit surface of the concave band 1 to the first target position O.

[0145] In this way, the phase and quantum state of the bosons after reaching the first target position O at any point on the exit surface of the concave band 1 are the same, and the probability amplitude is constructively interfered, which greatly increases the probability of the bosons reaching the first target position O (specifically, the probability of the system of m bosons is increased by m! times).

[0146] Understandable, Figure 18 This can also be viewed as a schematic diagram of the longitudinal section of a long, narrow concave band 1. Therefore, when the concave band 1 is long and narrow, the path y 1pa Length and path y 1a The difference in length h 2p =(y 1p -y1) / (n-1), path y 1qa Length and path y 1a The difference in length h2q =(y 1q -y1) / (n-1) where, y 1p Let y be the distance from any point on the exit surface of the elongated concave band 1, which is closer to the second target position B of the lens than the center line, to the first target position O. 1q Let y1 be the distance from any point on the exit surface of the portion of the long, concave strip 1 that is further away from the center line of the lens at the second target position B, to the first target position O. Let y1 be the distance from the center line of the exit surface of the concave strip 1 to the first target position O.

[0147] like Figure 19 As shown, assume that the exit surface of the convex band 2 is a plane (e.g., Figure 19 (As shown by the dashed line in the image), when the bosons penetrate the convex band 2 and reach the first target position O, the paths of the bosons emitted from each exit point in the lens are all the same. However, the paths of the bosons emitted from non-center lines in the air are either greater or less than the paths of the bosons emitted from the center line in the air, such as x. 1q 'Greater than x1, x 1p 'Less than x1. This will cause the boson to be on path x' 1q The change in phase on the upper path is greater than the change in phase of the boson on path x1. 1q The phase change is less than the phase change of the boson along path x1, causing phase inconsistency among the bosons emitted from convex band 2 that reach the first target position O, thus affecting the effect of probability amplitude constructive interference. It should be noted that the further the emission point deviates from the principal axis of the quantum lens, the greater or smaller the phase change of the bosons reaching the first target position O through that emission point.

[0148] To improve the effect of probabilistic amplitude constructive interference, while ensuring that the bosons move along path x... 1+ x 1a Assuming the change in upper phase remains constant, the change in boson phase along other paths can be decreased or increased. For example... Figure 19 The solid line in the diagram shows a shape where the portion of the convex band 2 closer to the lens's second target position B relative to the center line is thickened, and the portion of the convex band 2 further away from the lens's second target position B relative to the center line is thinned. Furthermore, the closer the portion is to the second target position B, the greater the thickening, and the further the portion is from the second target position B, the greater the thinning. That is, as... Figure 12 and Figure 19 As shown, the exit surface of the convex band 2 is curved, and the height of the exit surface of the convex band 2 gradually increases along the direction close to the second target position B of the lens.

[0149] In this way, firstly, it is possible to change the total path taken by the boson, for example, as... Figure 19 As shown, x 1p +h3p obviously greater than x 1p x 1pa +x 1p greater than x 1pa -h 3p +x 1p x 1q obviously less than x 1q x 3q +x 1qa less than x 1q +h 1qa +x 3q x 1q ’. Secondly, the path of the Bose-Einstein condensate in the lens can be changed (h 3q is reduced and h 3p is increased), so that the change of the phase of the Bose-Einstein condensate is changed.

[0150] After calculation, when the difference h 3p = (x 1p -x1) / (n-1) between the length of the path x 1pa and the length of the path x 1a , the change of the phase of the Bose-Einstein condensate after passing through the path x 1pa +x 1p is equal to the change of the phase of the Bose-Einstein condensate after passing through the path x 1a +x1, so that the phase of the Bose-Einstein condensate after passing through the path x 1pa +x 1p is equal to the phase of the Bose-Einstein condensate after passing through the path x 1a +x1. When the difference h 3q = (x 1q -x1) / (n-1) between the length of the path x 1qa and the length of the path x 1a , the change of the phase of the Bose-Einstein condensate after passing through the path x 1qa +x 1q is equal to the change of the phase of the Bose-Einstein condensate after passing through the path x 1a +x1, so that the phase of the Bose-Einstein condensate after passing through the path x 1qa +x 1q is equal to the phase of the Bose-Einstein condensate after passing through the path x 1a +x1.

[0151] Wherein, x 1p is the distance from any point on the exit surface of the part of the convex band 2 closer to the second target position B of the lens relative to the center line to the first target position O, x 1q is the distance from any point on the exit surface of the part of the convex band 2 farther away from the second target position B of the lens relative to the center line to the first target position O, and x1 is the distance from the center line of the exit surface of the convex band 2 to the first target position O.

[0152] Thus, the phases of the bosons reaching the first target position O after the bosons reach any point on the exit surface of the convex band 2 are all the same, so that the probability of the bosons reaching the first target position O is greatly improved (specifically, the probability is m! times higher for a system of m bosons).

[0153] It can be understood that, Figure 19 It can also be seen as a schematic view of the longitudinal section of the long strip-shaped convex band 2. Thus, when the convex band 2 is long strip-shaped, the length difference h 1pa between the length of the path x 1a and the length of the path x 3p = (x 1p - x1 / )(n-1), and the length difference h 3p between the length of the path x 1q and the length of the path x 1p = (x 1q - x1 / )(n-1).

[0154] wherein x is the distance from any point on the exit surface of the part of the convex band 2 closer to the second target position B of the lens relative to the center line to the first target position O, x

[0001] is the distance from any point on the exit surface of the part of the convex band 2 farther from the second target position B of the lens relative to the center line to the first target position O, and x1 is the distance from the center line of the exit surface of the convex band 2 to the first target position O.

[0155] After the above-mentioned curved surface design of the concave band 1, the convex band 2, the convex platform 3, and the concave groove 4, the phases of the bosons reaching the first target position O after the bosons reach any point on the exit surface of the lens are all the same, that is, the probability amplitude of the bosons reaching the first target position O after the bosons reach any point on the exit surface of the lens is in constructive interference.

[0156] It is further obtained through the above-mentioned calculation that the height of the inner edge of the concave band 1 is equal to the height of the outer edge of the convex band 2, and the height of the outer edge of the concave band 1 is different from the height of the inner edge of the convex band 2 by 2H.

[0157] It can be understood that when the concave band 1 and the convex band 2 are ring-shaped, and the lens comprises the concave band 1, the convex band 2, and the convex platform 3, the height of the center point of the convex platform 3 is equal to the height of the inner edge of the concave band 1, and the height of the outer edge of the concave band 1 is different from the height of the inner edge of the convex band 2 and the height of the center point of the convex platform 3 by 2H, as shown in Figure 13 .

[0158] Similarly, when the concave band 1 and the convex band 2 are annular, and when the lens includes the concave band 1, the convex band 2 and the groove 4, the height of the center point of the groove 4, the height of the inner edge of the concave band 1 and the height of the outer edge of the convex band 2 are equal, the height of the center point of the groove 4 and the height of the outer edge of the concave band 1 are different from the height of the inner edge of the convex band 2 by 2H, as shown in Figure 15

[0159] Figure 20 For the lens including the convex band 3, the concave band 1 and the convex band 2, and the lens whose exit surface of the convex band 3, the exit surface of the concave band 1 and the exit surface of the convex band 2 are all curved, a partial schematic view of the lens is shown in FIG. 6B. Figure 21 The wave function of the boson passing through the lens in FIG. 6B to reach the first target position O is shown in FIG. 6C. Figure 20 The wave function of the boson passing through the lens in FIG. 6B to reach the first target position O is shown in FIG. 6C. The wave function of the boson passing through the lens in FIG. 6B to reach the first target position O is shown in FIG. 6C.

[0160] It should be noted that in the embodiments of the present disclosure, the boson includes a boson beam such as an electromagnetic wave, a light wave, an X-ray, a gamma ray, and a gluon, and a particle with an integer spin, and further includes a composite particle with an integer spin such as an electron pair, a meson, a deuterium nucleus and a helium-4 nucleus.

[0161] From the above analysis, it can be seen that the lens with the concave band 1 and the convex band 2 can realize miniaturization and integration design. Of course, the lens can also be designed to be large according to the application scenario.

[0162] The embodiments of the present disclosure also provide a lens, which includes the lens described above. The optical lens can be various optical lenses, a boson focusing device, a miniature lens and the like.

[0163] The technical solutions provided by the embodiments of the present disclosure can realize miniaturization and integration design of the lens by applying the lens described above to the lens, because the lens described above can have a relatively thin thickness and a relatively short focal length, so that the thickness and volume of the lens can be greatly reduced.

[0164] The embodiments of the present disclosure also provide a device, which includes the lens described above, such as a photoetching machine, smart glasses, a camera and the like, which are not limited here. In addition, the lens and the lens described above can be applied to the fields of monochromatic lens, photon communication, photon chip, electromagnetic wave communication, boson aggregation and collection and the like.

[0165] ​The above merely describes optional embodiments of the present disclosure, and is not intended to limit the present disclosure. Any modification, equivalent replacement, improvement, etc. made within the principles of the present disclosure shall be included in the protection scope of the present disclosure.

Claims

1. A lens characterized by, The lens is applied to a lens, and the lens comprises at least one concave band (1) and at least one convex band (2); The concave band (1) and the convex band (2) are transparent, the concave band (1) and the convex band (2) are arranged alternately, and the probability amplitude of the Bose-Einstein particles emitted from the concave band (1) and the convex band (2) is constructively interfered at a first target position, wherein the first target position forms a focusing position of the lens; The distance from the center line of the exit surface of the i-th convex band (2) outside the second target position of the lens to the first target position is x i The distance from the center line of the exit surface of the i-th concave band (1) outside the second target position of the lens to the first target position is y i Wherein, the second target position is opposite to the first target position, x i+1 -x i =y i+1 -y i =λ, λ is the wavelength of the Bose particles suitable for the lens; The height difference between the center line of the exit surface of the convex band (2) and the center line of the exit surface of the concave band (1) is H, wherein H = λ / (2×(n-1)), and n is the refractive index of the lens.

2. The lens of claim 1, wherein The phase difference between the Bose-Einstein particles emitted from the center line of the convex band (2) and the Bose-Einstein particles emitted from the center line of the exit surface of the concave band (1) is an integer multiple of 180 degrees at the exit point.

3. The lens of claim 1, wherein The phases of the Bose-Einstein particles emitted from the concave band (1) and the convex band (2) are the same at the first target position.

4. The lens of claim 3, wherein The exit surfaces of the concave band (1) and the convex band (2) are curved surfaces, and the heights of the exit surfaces of the concave band (1) and the convex band (2) gradually increase along the direction close to a second target position of the lens.

5. The lens of claim 4, wherein, The height difference between any point of the exit surface of the concave band (1) and the center line is h 2p , h 2p = (y 1p -y1) / (n-1), wherein y 1p is the distance from any point of the exit surface of the concave band (1) to the first target position, and y1 is the distance from the center line of the exit surface of the concave band (1) to the first target position. The height difference between any point of the exit surface of the convex band (2) and the center line is h 3p , h 3p = (x 1p -x1) / (n-1), wherein x 1p is the distance from any point of the exit surface of the convex band (2) to the first target position, and x1 is the distance from the center line of the exit surface of the convex band (2) to the first target position.

6. The lens of claim 5, wherein, The height of the inner edge of the concave band (1) is equal to the height of the outer edge of the convex band (2). The height of the outer edge of the concave band (1) is different from the height of the inner edge of the convex band (2) by 2H.

7. The lens of claim 1, wherein The exit surfaces of the concave band (1) and the convex band (2) are planes.

8. The lens of any one of claims 1-7, wherein, The concave band (1) and the convex band (2) are annular and concentrically arranged, and the first target position is a target point.

9. The lens of claim 8, wherein, The lens further comprises a convex platform (3), and the convex platform (3) is concentrically arranged with the concave band (1) and the convex band (2). The odd-numbered bands outside the convex platform (3) are the concave bands (1), and the even-numbered bands outside the convex platform (3) are the convex bands (2). The Bose-Einstein particles emitted from the convex platform (3), the concave band (1) and the convex band (2) are constructively interfered in probability amplitude at the first target position.

10. The lens of claim 9, wherein, The distance from the center point of the exit surface of the boss (3) to the first target position is L, the distance from the center line of the exit surface of the i-th convex band (2) outside the boss (3) to the first target position is x i , and the distance from the center line of the exit surface of the i-th concave band (1) outside the boss (3) to the first target position is y i . where x1 - L = x i+1 - x i = y i+1 - y i = λ, λ being the wavelength of the Bose particles for which the lens is intended.

11. The lens of claim 10, wherein, The phase difference between the Bose-Einstein particles emitted from the center line of the convex platform (3), the center line of the convex band (2) and the center line of the exit surface of the concave band (1) is an integer multiple of 180 degrees at the exit point.

12. The lens of claim 8, wherein, The lens further comprises a concave groove (4), and the concave groove (4) is concentrically arranged with the convex band (2) and the concave band (1). The odd-numbered bands outside the concave groove (4) are the convex bands (2), and the even-numbered bands outside the concave groove (4) are the concave bands (1). The Bose-Einstein particles emitted from the concave groove (4), the concave band (1) and the convex band (2) are constructively interfered in probability amplitude at the first target position.

13. The lens of claim 12, wherein, The distance from the center point of the exit surface of the groove (4) to the first target position is L, the distance from the center line of the exit surface of the i-th convex band (2) outside the groove (4) to the first target position is x i , and the distance from the center line of the exit surface of the i-th concave band (1) outside the groove (4) to the first target position is y i . where y1 - L = x i+1 -x i = y i+1 - y i = λ, λ being the wavelength of the Bose particles for which the lens is intended.

14. The lens of claim 13, wherein, The phase difference between the Bose-Einstein particles emitted from the center line of the concave groove (4), the center line of the exit surface of the concave band (1) and the center line of the convex band (2) is an integer multiple of 180 degrees at the exit point.

15. The lens of any of claims 1-7, wherein, The concave band (1) and the convex band (2) are long strips, and the first target position is a target line.

16. A lens characterized by comprising: The lens comprises the lens according to any one of claims 1-15.

17. An apparatus, comprising: The apparatus includes the lens as claimed in claim 16.

Citation Information

Patent Citations

  • PVC-gel-based electroactive fresnel zone plate lens system

    WO2022265133A1