Light path design method of near-field equivalent far-field laser spot
Through the near-field equivalent far-field laser optical path design, the problem of simulating the phenomenon of far-field laser irradiation photoelectric imaging equipment is solved by using the q parameter and lens combination of Gaussian beams, and low-cost, realistic laser spot simulation and interference evaluation are achieved.
Patent Information
- Application Number
- CN202411281363.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-09-13
- Publication Date
- 2025-01-07
- Estimated Expiration
- 2044-09-13
AI Technical Summary
The prior art is difficult to accurately simulate the phenomenon of far-field laser irradiation photoelectric imaging equipment, which leads to the inability to effectively evaluate the interference effect of far-field lasers on photoelectric imaging equipment, and the simulation cost is high and limited.
A near-field equivalent far-field laser optical path design method is adopted, by determining the equivalent far-field distance, selecting appropriate lens combinations and attenuation sheets, the propagation law is calculated using the q parameters of the Gaussian beam to achieve the equivalent of near-far-field laser spots. , ensure that the radius of curvature of the wavefront and the effective cross-section of the beam are consistent, and the distance between lenses is flexibly adjusted to simulate laser spots of different far-field distances.
Realistic simulation of near-far field laser spots is achieved, which reduces experimental costs and provides a low-cost method to evaluate the interference effect of far-field lasers on photoelectric imaging equipment, ensuring the equivalence and flexibility of laser spots.
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Figure CN119270499A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the field of laser optical path design, and in particular to an optical path design method for a near-field equivalent far-field laser spot. Background Art
[0002] It is well known that when far-field laser irradiates optoelectronic imaging equipment, in addition to the main spot focused by the optical system, it often contains complex energy distributions such as circular fringes, speckles, ghost images, and regular dot matrix on its image plane. This is because there are diffraction effects, scattering effects, interference effects, etc. when laser irradiates optoelectronic imaging equipment. The near-field laser beam generated by the laser in the laboratory is different from the far-field laser in terms of spot size and laser beam divergence, which inevitably leads to differences in near-field experimental phenomena and far-field laser irradiation phenomena. The experiment cost of far-field laser irradiation optoelectronic imaging equipment is relatively high, and it is limited by site and personnel restrictions, making it difficult to obtain a large number of experimental data samples at different far-field distances.
[0003] Previous studies simulated the interference loss effect of far-field laser spot on optoelectronic equipment under near-field conditions. The laser under near-field conditions was only irradiated to the optoelectronic imaging equipment after passing through a beam expansion system. The typical beam expansion system is a telescope system composed of two reflectors or two single lenses. The divergence angle of the laser beam is compressed while expanding the beam, making the laser close to parallel light incidence. However, in the experimental process, there is still a certain gap between the laser spot obtained by simulating the far-field laser interference optoelectronic equipment only by beam expansion and the actual far-field laser spot. First, the typical beam expansion system cannot flexibly equalize the laser spot size under different far-field distances. Secondly, even if the same laser spot size is achieved, the laser divergence angle will be different due to the different curvature radius of the laser wavefront, resulting in different interference effects. How to simulate the phenomenon of far-field laser irradiation of photoelectric detectors as realistically as possible shows that the equivalence of near-field and far-field lasers is the premise for near-field experiments to accurately evaluate the interference effect of far-field lasers on optoelectronic imaging equipment. Summary of the invention
[0004] In order to overcome the deficiencies in the background technology, the present invention discloses a method for designing an optical path of a near-field equivalent far-field laser spot.
[0005] In order to achieve the above-mentioned object of the invention, the present invention adopts the following technical scheme:
[0006] A method for designing an optical path of a near-field equivalent far-field laser spot comprises the following steps:
[0007] S1: Determine the distance of the equivalent far-field laser as needed;
[0008] S2: Determine various parameters of the laser source, including the laser source beam waist, the distance from the laser source beam waist to the light outlet, and the laser wavelength;
[0009] S3: Determine the maximum experimental working distance in the near field, select two short-focus lenses with the same focal length and two long-focus lenses with the same focal length. The size of the lenses should allow the laser beam to pass completely.
[0010] S4: Place attenuation sheets with different attenuation ratios, and achieve any desired attenuation ratio by combining attenuation sheets with different attenuation ratios to adjust the energy entering the detector and simulate laser interference with optoelectronic imaging equipment with different intensities and different atmospheric attenuation degrees;
[0011] S5: Design an equivalent far-field optical path, build an optical path, and conduct a near-field equivalent far-field laser spot experiment; the steps of the equivalent far-field optical path design are:
[0012] Based on the q parameter of the Gaussian beam, its propagation law is calculated.
[0013] 1 / q(z)=1 / R(z)-i*lambda / (pi*w(z)^2) (1)
[0014] Where z is the propagation distance, R is the curvature radius of the laser beam wavefront, w is the effective cross-sectional radius of the beam, i.e., the beam size, lambda is the laser wavelength, and i is the imaginary unit;
[0015] For a beam traveling a far-field distance L, its q parameter becomes:
[0016] q=q0+L,q0=i*pi*w0^2 / lambda=iQ (2)
[0017] w0 is the beam waist of the laser, Q is the imaginary part of q0; under near-field conditions, the q parameter of the laser beam before it reaches the optoelectronic imaging device after a series of beam transformations is:
[0018] q1=(A*q0+B) / (C*q0+D) (3)
[0019] A, B, C, and D are parameters to be determined. To achieve the same wavefront curvature radius and beam effective cross section as in the far field, the q parameter in the near and far fields needs to be equal to q = q1:
[0020] (A*q0+B) / (C*q0+D)=q0+L (4)
[0021] Since q0 is a complex number, we can separate the real and imaginary parts to get two equations:
[0022] LD=B+CQ^2 (5)
[0023] A=D+LC (6)
[0024] If (5) is satisfied, the same wavefront curvature radius can be obtained in the near and far fields. If (6) is satisfied, the laser spot sizes in the near and far fields are also the same. Satisfying the above two constraints can ensure that the laser spots in the near and far fields before entering the detector are basically the same, which better meets the equivalence requirements.
[0025] In order to be universal for lasers with different beam waist sizes, C = 0 in equations (5) and (6), thus increasing the number of required equations to 3:
[0026] LD=B,A=D,C=0 (7)
[0027] When the number of lenses is 4, a symmetrical lens group is found with a better distance between lenses and lens focal length; under the symmetrical structure, the following order is given:
[0028] l1=l5,l2=l4 (8)
[0029] F1=F4,F2=F3 (9)
[0030] Among them, l1 is the distance from the laser beam waist to the front surface of the first lens, l2 is the distance between the first lens and the second lens, l4 is the distance from the third lens to the fourth lens, l5 is the distance from the fourth lens to the optoelectronic imaging device, and F1, F2, F3, and F4 are the focal lengths of the lenses respectively;
[0031] Substitute all equations (7), (8), and (9) into the paraxial light transformation matrix to obtain the value of C. The calculation process of the paraxial light transformation matrix M is as follows:
[0032] M=M1*M2*M3*M4*M5*M4*M3*M2*M1 (10)
[0033] M1~M5 and M are all 2*2 matrices. The multiplications in formula (10) are all matrix multiplications, where M1 = [1l1; 0 1], M2 = [1 0; -1 / F1 1], M3 = [1l2; 0 1], M4 = [1 0; -1 / F21], M5 = [1l3; 0 1], and M = [AB; CD]. Calculate M and set the C term to zero, and we get the following equation:
[0034] (F1+F2-l2)(F1*l3+2*F2*l2+F2*l3-l2*l3-2*F1*F2) / (F1^2*F2^2)=0 (11)
[0035] In fact, l3 is the distance between the second lens and the third lens. According to the requirement of (11), l2=F1+F2 is required. Substituting this equation into the original paraxial light transformation matrix and simplifying it, we get:
[0036] A = D = 1 (12)
[0037] B = -(2F1^2*F2 - l3*F1^2 + 2F1*F2^2 - 2l1*F2^2) / (F2^2) (13)
[0038] Further, according to (7), it should be made that B = LD = L, thus obtaining equation (14)
[0039] l3 = (F2^2*L + 2*F1^2*F2 + 2*F1*F2^2 - 2*l1*F2^2) / (F1^2) (14)
[0040] Because l3 << L, so F2 << F1. It can be seen from the above formula that as the required equivalent far - field distance increases, l3 increases linearly. By controlling the change of l3, the laser spot at different far - field distances can be flexibly simulated; In order to control the total system length l, it is calculated that:
[0041] l = l1 + l2 + l3 + l4 + l5 = 2*F1+(F2 / F1)^2*L + 2*l1 + 4F2 + 2F2^2 / F1 - 2(F2 / F1)^2*l1 ≈ 2*F1+(F2 / F1)^2*L + 2*l1(15)
[0042] It can be seen from equation (15) that the distance l1 from the laser beam waist to the front surface of the first lens can be made as small as possible. Just place the lens in front of the laser light output port. When F1 ≈ (F2^2*L)^(1 / 3), the total system length is the shortest.
[0043] In the optical path design method of the near - field equivalent far - field laser spot, the distance from the laser source beam waist to the light output port in step S2 should be less than the distance from the laser beam waist to the first lens.
[0044] In the optical path design method of the near - field equivalent far - field laser spot, in step S3, according to the actual situation of the laboratory, determine the maximum near - field experimental working distance. According to the ratio of the maximum experimental working distance to the distance of the far - field laser, determine the ratio of the lens focal lengths, and it should be ensured that the focal length of the short - focus lens is much smaller than the focal length of the long - focus lens.
[0045] In the optical path design method of the near - field equivalent far - field laser spot, in step S4, the attenuation sheet is flexibly placed at a suitable position between the laser light output port and the third lens, as long as it does not affect the optical path design.
[0046] Due to the adoption of the above technical solutions, the present invention has the following beneficial effects:
[0047] The optical path design method for near-field equivalent far-field laser spot described in the present invention calculates the laser near-axis propagation process based on the q parameter of a Gaussian beam, uses a group of four lenses with a symmetrical structure to achieve the effect that the near-field laser wavefront curvature radius and the beam effective cross-sectional radius are completely consistent with the far-field laser, can flexibly adjust the distance between lenses to achieve the simulation of laser spots at different far-field distances, and controls the laser energy before reaching the optoelectronic imaging system by adding an attenuation plate in the optical path. The present invention is low-cost and easy to implement, and provides a new way to achieve consistency of near-field and far-field laser spots. BRIEF DESCRIPTION OF THE DRAWINGS
[0048] Figure 1 Schematic diagram of the optical path of an equivalent far-field laser spot in an embodiment of the present invention.
[0049] Figure 2 This is the design parameter table of the equivalent far-field optical path system (unit: m).
[0050] Figure 3 This is the laser spot obtained by zemax simulating the near-field equivalent far-field optical path system.
[0051] Figure 4 This is a three-dimensional schematic diagram of the near-field equivalent far-field optical path simulated by Zemax. DETAILED DESCRIPTION
[0052] The present invention can be explained in detail by the following examples, and the purpose of disclosing the present invention is to protect all technical improvements within the scope of the present invention.
[0053] The optical path design method of the near-field equivalent far-field laser spot specifically includes the following steps:
[0054] S1: Determine the distance of the equivalent far-field laser as needed;
[0055] S2: Determine various parameters of the laser source, including the laser source beam waist, the distance from the laser source beam waist to the light outlet, and the laser wavelength;
[0056] S3: Determine the maximum experimental working distance in the near field, select two short-focus lenses with the same focal length and two long-focus lenses with the same focal length. The size of the lens should allow the laser beam to pass completely. According to the actual situation of the laboratory, determine the maximum experimental working distance in the near field. According to the ratio of the maximum experimental working distance and the distance of the far-field laser, determine the ratio of the focal lengths of the lenses, and ensure that the focal length of the short-focus lens is much smaller than the focal length of the long-focus lens. The distance from the laser source waist to the light outlet should be smaller than the distance from the laser waist to the first lens.
[0057] S4: Place attenuation sheets with different attenuation ratios. By combining attenuation sheets with different attenuation ratios, any desired attenuation ratio can be achieved to adjust the energy entering the detector and simulate laser interference with optoelectronic imaging equipment with different intensities and different atmospheric attenuation levels; the attenuation sheet can be flexibly placed at a suitable position between the laser light outlet and the third lens without affecting the optical path design;
[0058] S5: Design an equivalent far-field optical path, build an optical path, and conduct a near-field equivalent far-field laser spot experiment; the steps of the equivalent far-field optical path design are:
[0059] Based on the q parameter of the Gaussian beam, its propagation law is calculated.
[0060] 1 / q(z)=1 / R(z)-i*lambda / (pi*w(z)^2) (1)
[0061] Where z is the propagation distance, R is the radius of curvature of the laser beam wavefront, w is the effective cross-sectional radius of the beam, i.e., the beam size, lambda is the laser wavelength, and i is the imaginary unit;
[0062] For a beam traveling a far-field distance L, its q parameter becomes:
[0063] q=q0+L,q0=i*pi*w0^2 / lambda=iQ (2)
[0064] w0 is the beam waist of the laser, Q is the imaginary part of q0; under near-field conditions, the q parameter of the laser beam before reaching the optoelectronic imaging device after a series of beam transformations is:
[0065] q1=(A*q0+B) / (C*q0+D) (3)
[0066] A, B, C, and D are parameters to be determined. To achieve the same wavefront curvature radius and beam effective cross section as in the far field, the q parameter in the near and far fields needs to be equal to q = q1:
[0067] (A*q0+B) / (C*q0+D)=q0+L (4)
[0068] Since q0 is a complex number, we can separate the real and imaginary parts to obtain two equations:
[0069] LD=B+CQ^2 (5)
[0070] A=D+LC (6)
[0071] If (5) is satisfied, the same wavefront curvature radius can be obtained in the near and far fields. If (6) is satisfied, the laser spot sizes in the near and far fields are also the same. Satisfying the above two constraints can ensure that the laser spots in the near and far fields before entering the detector are basically the same, which better meets the equivalence requirements.
[0072] In order to be universal for lasers with different beam waist sizes, C = 0 in equations (5) and (6), thus increasing the number of required equations to 3:
[0073] LD=B,A=D,C=0 (7)
[0074] When the number of lenses is 4, a symmetrical lens group is found with a better distance between lenses and lens focal length; under the symmetrical structure, the following order is given:
[0075] l1=l5,l2=l4 (8)
[0076] F1=F4,F2=F3 (9)
[0077] Among them, l1 is the distance from the laser beam waist to the front surface of the first lens, l2 is the distance between the first lens and the second lens, l4 is the distance from the third lens to the fourth lens, l5 is the distance from the fourth lens to the optoelectronic imaging device, and F1, F2, F3, and F4 are the focal lengths of the lenses respectively;
[0078] Substitute all equations (7), (8), and (9) into the paraxial light transformation matrix to obtain the value of C. The calculation process of the paraxial light transformation matrix M is as follows:
[0079] M=M1*M2*M3*M4*M5*M4*M3*M2*M1 (10)
[0080] M1~M5 and M are all 2*2 matrices. The multiplications in formula (10) are all matrix multiplications, where M1 = [1l1; 0 1], M2 = [1 0; -1 / F1 1], M3 = [1l2; 0 1], M4 = [1 0; -1 / F21], M5 = [1l3; 0 1], and M = [AB; CD]. Calculate M and set the C term to zero, and we get the following equation:
[0081] (F1+F2-l2)(F1*l3+2*F2*l2+F2*l3-l2*l3-2*F1*F2) / (F1^2*F2^2)=0 (11)
[0082] In fact, l3 is the distance between the second lens and the third lens. According to the requirement of (11), l2=F1+F2 is required. Substituting this equation into the original paraxial light transformation matrix and simplifying it, we get:
[0083] A=D=1 (12)
[0084] B=-(2F1^2*F2-l3*F1^2+2F1*F2^2-2l1*F2^2) / (F2^2) (13)
[0085] Further, according to (7), it should be made that B = LD = L, thus obtaining equation (14)
[0086] l3 = (F2^2 * L + 2 * F1^2 * F2 + 2 * F1 * F2^2 - 2 * l1 * F2^2 / (F1^2)) (14)
[0087] Since l3 << L, so F2 << F1. It can be seen from the above formula that as the required equivalent far - field distance increases, l3 increases linearly. By controlling the change of l3, the laser spot at different far - field distances can be flexibly simulated; in order to control the total system length l, it is calculated that:
[0088] l = l1 + l2 + l3 + l4 + l5 = 2 * F1 + (F2 / F1)^2 * L + 2 * l1 + 4F2 + 2F2^2 / F1 - 2(F2 / F1)^2 * l1 ≈ 2 * F1 + (F2 / F1)^2 * L + 2 * l1 (15)
[0089] It can be seen from equation (15) that the distance l1 from the laser beam waist to the front surface of the first lens can be made as small as possible. Just place the lens in front of the laser light output port. When F1 ≈ (F2^2 * L)^(1 / 3), the total system length is the shortest.
[0090] Embodiment
[0091] An optical path design method for a near - field equivalent far - field laser spot, the method comprising the following steps:
[0092] S1: Determine the distance of the equivalent far - field laser according to requirements; as Figure 2 shown, the values of L1 are 200m, 1km, 3km, 5km, 10km;
[0093] S2: Set the laser source beam waist to be 10mm, the distance from the laser source beam waist to the light output port to be 50mm, and the laser wavelength to be 1.064um;
[0094] S3: Set the maximum near - field experimental working distance to be 10m, the focal lengths of the long - focal - length lenses to be 0.6m, 1m, 1.5m, 2m, and the focal length of the short - focal - length lens to be 35mm; according to Figure 1 shown, the size requirements of lenses F1, F2, and F3 allow the laser to pass through completely. Set the diameter of the first lens F1 to be 80mm, the diameters of the second lens F2 and the third lens F3 to be 25mm, and the diameter of the fourth lens F4 to be greater than the entrance pupil diameter of the optical system of the photoelectric imaging device. In this embodiment, the diameter of the lens F4 is 120mm;
[0095] S4: As Figure 1As shown, the beam diameter between lens F2 and lens F3 is small, so the attenuation plate can be placed between lens F2 and lens F3. Figure 1 The attenuation ratio and number of the medium attenuation sheets can be flexibly combined according to the actual situation. In this embodiment, two 5dB attenuation sheets are used, which means that the laser light intensity is attenuated to 0.1 times of the original intensity.
[0096] S5: Design the equivalent far-field optical path, build the optical path, and conduct the near-field equivalent far-field laser spot experiment;
[0097] Furthermore, the optical path design in step S5 is as follows:
[0098] In order to more conveniently describe the behavior of laser beams passing through free space and optical systems, the q parameter of Gaussian beams is used to calculate their propagation law:
[0099] 1 / q(z)=1 / R(z)-i*lambda / (pi*w(z)^2) (1)
[0100] Where z is the propagation distance, R is the radius of curvature of the laser beam wavefront, w is the effective cross-sectional radius of the beam, i.e. the spot size, lambda is the laser wavelength, and i is the imaginary unit.
[0101] For a beam traveling a far-field distance L, its q parameter becomes:
[0102] q=q0+L,q0=i*pi*w0^2 / lambda=iQ (2)
[0103] w0 is the beam waist of the laser, Q is the imaginary part of q0. Under near-field conditions, the q parameter of the laser beam before reaching the optoelectronic imaging device after a series of beam transformations is:
[0104] q_prime=(A*q0+B) / (C*q0+D) (3)
[0105] A, B, C, and D are parameters to be determined. To achieve the same wavefront curvature radius and beam effective cross section as in the far field, the q parameters in the near and far fields need to be equal:
[0106] (A*q0+B) / (C*q0+D)=q0+L (4)
[0107] Since q0 is a complex number, we can separate the real and imaginary parts to get two equations:
[0108] LD=B+CQ^2 (5)
[0109] A=D+LC (6)
[0110] If (5) is satisfied, the same wavefront curvature radius can be obtained in the near and far fields. If (6) is satisfied, the laser spot sizes in the near and far fields are also the same. Meeting the above two constraints can ensure that the laser spots in the near and far fields before entering the detector are basically the same, which better meets the equivalence requirements.
[0111] To make it universal for lasers with different beam waist sizes, we should set C = 0 in equations (5) and (6), thus increasing the number of equations to 3:
[0112] LD=B,A=D,C=0 (7)
[0113] When the number of lenses is 4, a symmetrical structure lens group is found, which has a better distance between lenses and lens focal length. Under the symmetrical structure, the following order is given:
[0114] l1=l5,l2=l4 (8)
[0115] F1=F4,F2=F3 (9)
[0116] Wherein, l1 is the distance from the laser beam waist to the front surface of lens F1, l2 is the distance between lens F1 and lens F2, l4 is the distance from lens F3 to lens F4, l5 is the distance from lens F4 to the optoelectronic imaging device, and F1, F2, F3, and F4 are respectively the focal lengths of the lenses;
[0117] Furthermore, all equations (7), (8), and (9) are substituted into the paraxial light transformation matrix to obtain the value of C. The calculation process of the paraxial light transformation matrix M is as follows:
[0118] M=M1*M2*M3*M4*M5*M4*M3*M2*M1 (10)
[0119] M1~M5 and M are all 2*2 matrices. The multiplications in formula (10) are all matrix multiplications, where M1 = [1l1; 0 1], M2 = [1 0; -1 / F1 1], M3 = [1l2; 0 1], M4 = [1 0; -1 / F21], M5 = [1l3; 0 1], and M = [AB; CD]. Calculate M and set the C term to zero, and we get the following equation:
[0120] (F1+F2-l2)(F1*l3+2*F2*l2+F2*l3-l2*l3-2*F1*F2) / (F1^2*F2^2)=0 (11)
[0121] In fact, l3 is the distance between lens F2 and lens F3. According to the requirement of equation (11), l2=F1+F2 is required. Substituting this equation into the original paraxial light transformation matrix and simplifying it, we get:
[0122] A = D = 1 (12)
[0123] B = -(2F1^2*F2 - l3*F1^2 + 2F1*F2^2 - 2l1*F2^2) / (F2^2) (13)
[0124] Further, according to (7), it should be made that B = LD = L, thus obtaining equation (14)
[0125] l3 = (F2^2*L + 2*F1^2*F2 + 2*F1*F2^2 - 2*l1*F2^2) / (F1^2) (14)
[0126] Since l3 << L, so F2 << F1; it can be seen from the above formula that as the required equivalent far - field distance increases, l3 increases linearly. By controlling the change of l3, the laser spot at different far - field distances can be flexibly simulated. In order to control the total system length l, it is calculated that:
[0127] l = l1 + l2 + l3 + l4 + l5 = 2*F1+(F2 / F1)^2*L + 2*l1 + 4F2 + 2F2^2 / F1 - 2(F2 / F1)^2*l1 ≈ 2*F1+(F2 / F1)^2*L + 2*l1(15)
[0128] It can be seen from equation (15) that the distance l1 from the laser beam waist to the front surface of the first lens can be made as small as possible,
[0129] as long as the lens is placed in front of the laser light output port;
[0130] In this embodiment, l1 = 100mm is set. According to l5 = l1, the value of l5 can be determined. Since the short - focus lens F2 is selected as 35mm, according to the actual equivalent far - field distance and referring to when F1 ≈ (F2^2*L)^(1 / 3), the total system length is the shortest; the lens can be selected according to the cost. In this embodiment, a single lens in a common lens library is selected to determine the value of F1. According to l2 = F1 + F2, the value of l2 can be determined, and similarly, according to l4 = l2, the value of l4 can be determined. Thus, all system parameters are determined. The results of all system parameters calculated in this embodiment are as Figure 2 shown.
[0131] From Figure 2 it can be seen that for an ideal Gaussian fundamental - mode laser, all lenses are selected as ideal lenses, that is, thin lenses. The wave - front curvature radius R(l) and the effective beam cross - section radius w(l) at the wave front where the near - field equivalent light path finally reaches the entrance pupil of the optical system are respectively equal to the wave - front curvature radius R(L) and the effective beam cross - section radius w(L) of the laser spot in the far - field; The zemax software is used to simulate the light path of the laser spot at 3 km in the near - field equivalent. All single lenses are set as paraxial surfaces, and the focal length and interval are set. The system parameters are shown in Figure 2, physical optics analysis simulation to obtain the laser spot size ( Figure 3 ) is consistent with the theoretical calculation results. Figure 4 This is a three-dimensional schematic diagram of the near-field equivalent far-field optical path simulated by Zemax.
[0132] Parts of the present invention not described in detail are prior art.
[0133] The embodiments selected herein for the purpose of disclosing the invention are currently considered to be suitable, but it should be understood that the invention is intended to include all changes and modifications of the embodiments that fall within the scope of the concept and invention.
Claims
1. A method for designing an optical path of a near-field equivalent far-field laser spot, characterized by: The specific steps include: S1: Determine the distance of the equivalent far-field laser as needed; S2: Determine various parameters of the laser source, including the laser source beam waist, the distance from the laser source beam waist to the light outlet, and the laser wavelength; S3: Determine the maximum experimental working distance in the near field, select two short-focus lenses with the same focal length and two long-focus lenses with the same focal length. The size of the lenses should allow the laser beam to pass completely. S4: Place attenuation sheets with different attenuation ratios, and achieve any desired attenuation ratio by combining attenuation sheets with different attenuation ratios to adjust the energy entering the detector and simulate laser interference with optoelectronic imaging equipment with different intensities and different atmospheric attenuation degrees; S5: Design an equivalent far-field optical path, build an optical path, and conduct a near-field equivalent far-field laser spot experiment; the steps of the equivalent far-field optical path design are: Based on the q parameter of the Gaussian beam, its propagation law is calculated. 1 / q(z)=1 / R(z)-i*lambda / (pi*w(z)^2) (1) Where z is the propagation distance, R is the radius of curvature of the laser beam wavefront, w is the effective cross-sectional radius of the beam, i.e., the beam size, lambda is the laser wavelength, and i is the imaginary unit; For a beam traveling a far-field distance L, its q parameter becomes: q=q0+L,q0=i*pi*w0^2 / lambda=iQ (2) w0 is the beam waist of the laser, Q is the imaginary part of q0; under near-field conditions, the q parameter of the laser beam before it reaches the optoelectronic imaging device after a series of beam transformations is: q1=(A*q0+B) / (C*q0+D) (3) A, B, C, and D are parameters to be determined. To achieve the same wavefront curvature radius and beam effective cross section as in the far field, the q parameter in the near and far fields needs to be equal to q = q1: (A*q0+B) / (C*q0+D)=q0+L (4) Since q0 is a complex number, we can separate the real and imaginary parts to obtain two equations: LD=B+CQ^2 (5) A=D+LC (6) If (5) is satisfied, the same wavefront curvature radius can be obtained in the near and far fields. If (6) is satisfied, the laser spot sizes in the near and far fields are also the same. Satisfying the above two constraints can ensure that the laser spots in the near and far fields before entering the detector are basically the same, which better meets the equivalence requirements. In order to be universal for lasers with different beam waist sizes, C = 0 in equations (5) and (6), thus increasing the number of required equations to 3: LD=B,A=D,C=0 (7) When the number of lenses is 4, a symmetrical structure lens group is found, which has a better distance between lenses and lens focal length; under the symmetrical structure, the following is ordered: l1=l5,l2=l4 (8) F1=F4,F2=F3 (9) Among them, l1 is the distance from the laser beam waist to the front surface of the first lens, l2 is the distance between the first lens and the second lens, l4 is the distance from the third lens to the fourth lens, l5 is the distance from the fourth lens to the optoelectronic imaging device, and F1, F2, F3, and F4 are the focal lengths of the lenses respectively; Substitute all the equation requirements (7), (8), and (9) into the paraxial ray transformation matrix to obtain the value of C. The calculation process of the paraxial ray transformation matrix M is as follows: M = M1 * M2 * M3 * M4 * M5 * M4 * M3 * M2 * M1 (10) M1 to M5 and M are all 2×2 matrices, and the multiplications in equation (10) are all matrix multiplications. Among them, M1 = [1 l1; 0 1], M2 = [1 0; -1 / F1 1], M3 = [1 l2; 0 1], M4 = [1 0; -1 / F2 1], M5 = [1 l3; 0 1], M = [A B; C D]. Calculate M and set the C term to zero to obtain the following equation: (F1 + F2 - l2)(F1 * l3 + 2 * F2 * l2 + F2 * l3 - l2 * l3 - 2 * F1 * F2) / (F1^2 * F2^2) = 0 (11) In fact, l3 is the distance between the second lens and the third lens. According to the requirement of (11), it is necessary to set l2 = F1 + F2. Substitute this equation requirement into the original paraxial ray transformation matrix and simplify to obtain: A = D = 1 (12) B = -(2F1^2 * F2 - l3 * F1^2 + 2F1 * F2^2 - 2l1 * F2^2) / (F2^2) (13) Further, according to (7), it should be set B = LD = L, thus obtaining equation (14) l3 = (F2^2 * L + 2 * F1^2 * F2 + 2 * F1 * F2^2 - 2 * l1 * F2^2) / (F1^2) (14) Since l3 << L, so F2 << F1. It can be seen from the above formula that as the required equivalent far - field distance increases, l3 increases linearly. By controlling the change of l3, the laser spot at different far - field distances can be flexibly simulated; to control the total system length l, it is calculated that: l = l1 + l2 + l3 + l4 + l5 = 2 * F1 + (F2 / F1)^2 * L + 2 * l1 + 4F2 + 2F2^2 / F1 - 2(F2 / F1)^2 * l1 ≈ 2 * F1 + (F2 / F1)^2 * L + 2 * l1 (15) It can be seen from equation (15) that the distance l1 from the laser beam waist to the front surface of the first lens can be as small as possible. As long as the lens is placed in front of the laser output port, when F1 ≈ (F2^2 * L)^(1 / 3), the total system length is the shortest.
2. The optical path design method of the near-field equivalent far-field laser spot according to claim 1 is characterized by: In step S2, the distance from the laser source beam waist to the output port should be less than the distance from the laser beam waist to the first lens.
3. The optical path design method of the near-field equivalent far-field laser spot according to claim 1 is characterized by: In step S3, according to the actual situation of the laboratory, determine the maximum experimental working distance in the near - field. According to the ratio of the maximum experimental working distance to the distance of the far - field laser, determine the ratio of the lens focal lengths, and it should be ensured that the focal length of the short - focus lens is much smaller than the focal length of the long - focus lens.
4. The optical path design method of the near-field equivalent far-field laser spot according to claim 1 is characterized by: The attenuation sheet in step S4 is flexibly placed at a suitable position between the laser output port and the third lens, as long as it does not affect the optical path design.
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