Three-dimensional topological singular point regulation and control structure based on symmetric medium cubic cavity, preparation method and application

Abstract

The invention discloses a three-dimensional topological singular point regulation and control structure based on a symmetrical medium cube cavity, a preparation method and application. The three-dimensional topological singular point regulation and control structure comprises a medium ceramic cube and symmetrical through holes formed in the three-dimensional orthogonal direction of the medium ceramic cube. Through the symmetrical synergistic effect of the through holes and the cubic structure, a three-dimensional zero field singular point is induced to be generated in a free space continuous spectrum, and the singular point has the characteristics that the electric field intensity is zero and the volume / surface / interior multi-dimensional topological characteristic is achieved. Experiments prove that the singular point position and field distribution can be accurately controlled by regulating and controlling geometric parameters (such as aperture r and cube edge length a) of the through holes, and behaviors such as energy localization and phase modulation of electromagnetic waves in the cavity are realized. The structure breaks through the limitation of a traditional periodic array on singular points, supports unit cell level independent regulation and control, has the robustness of implementation of a 3D printing ceramic process, and is suitable for the fields of microwave band vortex field generation, topological photonic devices, multi-channel communication and the like.

Description

Technical Field

[0001] The present invention relates to topological photonics and electromagnetic wave manipulation technologies, and particularly to a three-dimensional topological singularity regulation structure, a preparation method, and an application based on a symmetric dielectric cube cavity. Background Art

[0002] At present, the realization of singularities in traditional photonic crystals depends on periodic structural units, making it difficult to manipulate and reconstruct electromagnetic waves through a single structure in real space. However, periodic structures have high requirements for processing accuracy, and singularities are easily affected by structural perturbations, resulting in instability. In addition, existing singularities usually only have two-dimensional characteristics such as polarization vortices, singular points, and phase singularities in the parameter space, and it is difficult to develop into three-dimensional space, which limits the exploration and application of high-dimensional topological properties. There is an urgent need for a structure that can independently manipulate and reconstruct electromagnetic waves at the unit cell level, so as to controllably generate, reconstruct, and apply three-dimensional topological singularities through a single object.

[0003] It should be noted that the information disclosed in the above background art section is only used for understanding the background of the present application, and thus may include information that does not constitute the prior art known to those of ordinary skill in the art. Summary of the Invention

[0004] The main purpose of the present invention is to overcome the defects existing in the above background art, and provide a three-dimensional topological singularity regulation structure, a preparation method, and an application based on a symmetric dielectric cube cavity.

[0005] To achieve the above purpose, the present invention adopts the following technical solutions:

[0006] A three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity, comprising:

[0007] A dielectric ceramic cube, which serves as the basic framework;

[0008] Symmetric through-holes are opened on the dielectric ceramic cube along the three-dimensional orthogonal directions centered on the dielectric ceramic cube. Through its structural layout, in cooperation with the symmetry of the cube, three-dimensional zero-field singularities in the continuous spectrum of free space are induced, and the field distribution and propagation behavior of electromagnetic waves in the cavity are regulated through the induced three-dimensional zero-field singularities.

[0009] Furthermore:

[0010] The ceramic material forming the dielectric ceramic cube is selected according to the required electromagnetic wave regulation characteristics and the generation conditions of three-dimensional zero-field singularities.

[0011] The cross-sectional shape of the symmetric through-hole is circular, square, or other regular polygons with side length > 3, and the radius of the circular hole of the symmetric through-hole is r, and the edge length of the cube is a. By changing the geometric parameters a and r, the microwave response and frequency band can be regulated.

[0012] The material of the dielectric ceramic cube is alumina ceramic.

[0013] The dielectric ceramic cube is formed by high-temperature firing treatment to enhance the stability and mechanical strength of the cavity structure.

[0014] A preparation method of a three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity includes the following steps:

[0015] S1. Design the structural parameters of the symmetric dielectric cube cavity, including the size of the cube, the shape and size of the symmetric through-hole, and the characteristics of the dielectric material;

[0016] S2. Adopt ceramic 3D printing technology to fabricate a dielectric ceramic cube according to the designed structural parameters;

[0017] S3. Carry out curing and firing treatments on the prepared dielectric ceramic cube to obtain a symmetric dielectric cube cavity structure.

[0018] Among them, by changing the spatial arrangement, combination form of the symmetric dielectric cube cavity and the external electromagnetic environment, the arbitrary manipulation of three-dimensional zero-field singularities and the regulation of the electromagnetic wave propagation characteristics are realized.

[0019] The adoption of ceramic 3D printing technology to fabricate a dielectric ceramic cube includes:

[0020] Mix a photosensitive ceramic resin and a liquid photopolymer resin to form a slurry suitable for 3D printing;

[0021] Use slicing software to perform layer slicing and path planning on the designed symmetric dielectric cube cavity structure to generate a data file recognizable by a 3D printing device;

[0022] Utilize a 3D printing device to layer by layer print out a green body of the symmetric dielectric cube cavity according to the data file;

[0023] Wash the green body to remove the uncured resin.

[0024] An application of a three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity. Apply the symmetric dielectric cube cavity structure to topological photonics to realize the generation and arbitrary manipulation of three-dimensional topological singularities, including constructing a topological edge state capture system, a photonic three-dimensional supercage, multi-channel vortex optical communication, sensing, etc.

[0025] The present invention has the following beneficial effects:

[0026] The present invention provides a three-dimensional topological singularity control structure, preparation method and application based on a symmetrical medium cubic cavity. The present invention breaks through the dependence on periodic structural units in traditional photonic crystals, realizes the independent generation and control of three-dimensional topological singularities in a single volume unit, solves the two-dimensional limitations of existing singularity systems, and reveals the multi-dimensional topological characteristics of three-dimensional singularities, including volume, boundary and internal topology. By using ceramic 3D printing technology to batch manufacture highly uniform symmetrical medium cubic cavities, symmetrical through holes are opened in the center of the cube along three-dimensional orthogonal directions, and the structural symmetry induces three-dimensional zero-field singularities in the free space continuous spectrum, and realizes the multi-dimensional topological characterization of the singularity, supports arbitrary spatial arrangement, and the robustness of the singularity is not affected by the placement method. In addition, the convenient and easy-to-obtain robust and reconfigurable topological platform provided by the present invention not only supports disordered arrangement, but also expands its application in vortex generation and topological optics, and can be processed on a large scale in the microwave band through 3D printing technology. A single cube can generate a three-dimensional real space singularity without relying on a periodic array, breaking through the dimensional and spatial limitations of traditional technology. For the first time, the collaborative characterization of volume, boundary and internal topology is realized, providing a new platform for high-dimensional topological research. Ceramic 3D printing ensures the consistency and repeatability of the structure, and the singularity strength maintains a contrast of more than 90% in the disordered arrangement, supports the topological function of rapid reconstruction, and the disordered arrangement does not destroy the stability of the singularity strength. The invention has a wide range of applications and can be applied to the fields of singularity manipulation, multi-channel vortex optical communication, sensing, etc. It provides a new method for the manipulation and reconstruction design of electromagnetic waves, which has important progressive significance and broad application prospects.

[0027] Other beneficial effects of the embodiments of the present invention will be further described below. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 Schematic diagram of the structure of a three-dimensional topological singular point control structure based on a symmetrical medium cube cavity according to an embodiment of the present invention.

[0029] Figure 2 This is a verification diagram of the electric field intensity distribution of a three-dimensional zero-field singular point in an embodiment of the present invention.

[0030] Figure 3 This is a characterization diagram of the internal field topology winding of the three singular points in an embodiment of the present invention.

[0031] Figure 4 These are four randomly distributed cubic cavities according to an embodiment of the present invention.

[0032] Figure 5 Schematic diagram of the experimental data structure of the three-dimensional point intensity contrast according to an embodiment of the present invention. DETAILED DESCRIPTION

[0033] The following is a detailed description of the embodiments of the present invention. It should be emphasized that the following description is merely exemplary and not intended to limit the scope and application of the present invention.

[0034] It should be noted that when an element is referred to as "fixed to" or "disposed on" another element, it can be directly on the other element or indirectly on the other element. When an element is referred to as "connected to" another element, it can be directly connected to the other element or indirectly connected to the other element. In addition, the connection can be for fixing or for coupling or communicating.

[0035] It should be understood that the orientation or positional relationship indicated by the terms "length", "width", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc. is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the embodiments of the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as a limitation of the present invention.

[0036] In addition, the terms "first" and "second" are only used for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the quantity of the indicated technical features. Thus, the features defined with "first" and "second" may explicitly or implicitly include one or more of such features. In the description of the embodiments of the present invention, "a plurality" means two or more unless otherwise specifically defined.

[0037] Referring to Figure 1 , the embodiments of the present invention provide a three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity, including: a dielectric ceramic cube 1, which serves as the basic structure; symmetric through-holes 2, which are opened on the dielectric ceramic cube 1 along the three-dimensional orthogonal directions centered on the dielectric ceramic cube 1, and through their structural layout, cooperate with the symmetry of the cube to induce the generation of three-dimensional zero-field singularities in the continuous spectrum of free space, and through the induced three-dimensional zero-field singularities, regulate the field distribution and propagation behavior of electromagnetic waves in the symmetric dielectric cube cavity structure.

[0038] The ceramic material forming the dielectric ceramic cube 1 can be selected according to the required electromagnetic wave regulation characteristics and the generation conditions of three-dimensional zero-field singularities.

[0039] In some embodiments, the cross-sectional shape of the symmetric through-holes 2 is circular, square, or other regular polygons, with a side length > 3, and the radius of the circular holes of the symmetric through-holes 2 is r, and the edge length of the cube is a. By changing the geometric parameters a and r, the microwave response and frequency band can be regulated.

[0040] In some embodiments, the material of the dielectric ceramic cube 1 is alumina ceramic.

[0041] In some embodiments, the dielectric ceramic cube 1 is formed by high-temperature firing treatment to enhance the stability and mechanical strength of the cavity structure.

[0042] Experiments have confirmed that by regulating the geometric parameters of the through holes (such as the hole diameter r and the edge length a of the cube), the position of the singularity and the field distribution can be precisely controlled, and behaviors such as energy localization and phase modulation of electromagnetic waves in the cavity can be realized. This structure breaks through the limitations of traditional periodic arrays on singularities, supports independent regulation at the unit cell level, and has the robustness achieved by 3D printing ceramic technology, and is applicable to fields such as microwave vortex field generation, topological photon devices, and multi-channel communication.

[0043] The embodiment of the present invention also provides a preparation method of the three-dimensional topological singularity regulation structure based on the symmetric dielectric cube cavity, including the following steps:

[0044] S1. Design the structural parameters of the symmetric dielectric cube cavity, including the size of the cube, the shape and size of the symmetric through holes, and the characteristics of the dielectric material;

[0045] S2. Adopt ceramic 3D printing technology to fabricate the dielectric ceramic cube 1 according to the designed structural parameters;

[0046] S3. Carry out curing and firing treatments on the prepared dielectric ceramic cube to obtain the symmetric dielectric cube cavity structure.

[0047] Among them, by changing the spatial arrangement, combination form of the symmetric dielectric cube cavity, and the external electromagnetic environment, arbitrary manipulation of the three-dimensional zero-field singularity and regulation of the propagation characteristics of electromagnetic waves are realized.

[0048] In some embodiments, the step of fabricating the dielectric ceramic cube by using ceramic 3D printing technology includes:

[0049] Mix the photosensitive ceramic resin and the liquid photopolymer resin to form a slurry suitable for 3D printing;

[0050] Use slicing software to perform layer slicing and path planning on the designed symmetric dielectric cube cavity structure to generate a data file recognizable by the 3D printing device;

[0051] Use the 3D printing device to layer-by-layer print the green body of the symmetric dielectric cube cavity according to the data file;

[0052] Clean the green body to remove the uncured resin.

[0053] The embodiments of the present invention also provide an application of the three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity. The symmetric dielectric cube cavity structure is applied to the field of topological photonics to generate and arbitrarily manipulate three-dimensional topological singularities, including but not limited to constructing a topological edge state capture system, a three-dimensional photonic supercage, multi-channel vortex optical communication, sensing, etc., so as to achieve efficient regulation of electromagnetic waves and special functional applications.

[0054] The following further describes specific embodiments of the present invention and experimental verification.

[0055] The embodiments of the present invention use ceramic 3D printing technology to batch-fabricate symmetric dielectric cube cavities with high uniformity, open symmetric through-holes along three-dimensional orthogonal directions at the center of the cube, induce three-dimensional zero-field singularities within the continuous spectrum of free space through structural symmetry, and achieve multi-dimensional topological characterization of the singularities (volume topology, non-trivial winding number of the surface tangential field, internal field distribution topology). It supports arbitrary spatial arrangements, and the robustness of the singularities is not affected by the placement method.

[0056] There is a three-dimensional topological real-space three-dimensional singularity at the center of the cube cavity, and the microwave electric field intensity is 0. There is a two-dimensional topological real-space two-dimensional singularity at the center of each surface of the cavity. It can be used to generate real-space singularities and a vortex electric field distribution of the eigenstate in the microwave band.

[0057] Embodiment 1:

[0058] As Figure 1 shown, the symmetric dielectric cube cavity structure is a collection of a cube and through-holes. The edge length of the cube is a, and the cross-sectional shape of the through-hole can be a regular polygon such as a circle, a square, a regular pentagon, etc. (side length n>3), and the radius of the circular hole is r.

[0059] In this example, the edge length of the cube is a = 1.5 cm, and the radius of the circular hole is r = 0.325 cm, as Figure 1 shown.

[0060] Preparation and processing:

[0061] Use slicing software to perform layer slicing on the symmetric dielectric cube cavity structure drawn by solidworks. After path planning, generate and save a data file recognizable by the 3D printing device. Import the data file into the 3D printing device, print the prepared alumina ceramic slurry to obtain a ceramic frame structure, and perform firing treatment on the ceramic frame structure at high temperature. Changing the geometric parameters (a, r) can regulate the microwave response and frequency band.

[0062] Experimental verification

[0063] The results of physical field simulation soft analysis and microwave experimental test show that when moving along the center line inside a single cubic cavity to measure the zero intensity points of the electric field in the three directions of Ex, Ey, and Ez, it is found that they are all at the center (such as Figure 2 As shown), it is proved that the singularity has three topological properties. In addition, as Figure 3 As shown, the xy, xz, and yz planes passing through the center all have topologically intertwined internal topologies; on the boundary surface of the cavity, the surface tangential vector field also has a topologically intertwined boundary topology. This dual representation of topology originates from the volume topology within the cube.

[0064] In such Figure 4 The contrast ratio of the singularity intensity (background intensity minus minimum intensity) was measured in the four randomly distributed cubic cavities shown in the figure, and it was found that the contrast ratio of each real space singularity exceeded 50 dB (e.g. Figure 5 ), confirming the strong robustness of the three-dimensional point, which is topologically protected from being destroyed when the real space is disordered and arbitrarily arranged.

[0065] The present invention uses ceramic 3D printing technology to batch manufacture highly uniform symmetrical medium cubic cavities, and opens symmetrical through holes in the center of the cube along three-dimensional orthogonal directions. With this structural symmetry, a three-dimensional zero-field singularity in the free space continuous spectrum can be induced, and a multi-dimensional topological characterization of the singularity can be achieved, including volume topology, surface tangential field non-trivial winding number, and internal field distribution topology. The structure supports arbitrary spatial arrangement, and the robustness of the singularity is not affected by the placement method.

[0066] In terms of characteristics, the present invention has many innovative advantages:

[0067] It breaks through the traditional singularity's reliance on periodic structures. A single cube can independently generate and manipulate three-dimensional real-space singularities without relying on periodic arrays, thus getting rid of the dimensional and spatial limitations of traditional technology.

[0068] The two-dimensional limitation of the existing singularity system is solved, the multi-dimensional topological characteristics of the three-dimensional singularity are revealed, and the coordinated representation of volume, boundary, and internal topology is realized for the first time, which builds a new platform for high-dimensional topological research. There is a real-space three-dimensional singularity with three-dimensional topology at the center of the cubic cavity, where the microwave electric field intensity is 0; there is a real-space two-dimensional singularity with two-dimensional topology at the center of each surface of the cavity.

[0069] Robust reconfigurability: Ceramic 3D printing ensures structural consistency and repeatability, so that the singularity strength can still maintain >90% contrast in disordered arrangements, providing a convenient and accessible robust and reconfigurable topological platform that supports rapid reconstruction of topological functions, and disordered arrangements will not destroy the stability of the singularity strength.

[0070] At the application level, the present invention can be used to generate the vortex electric field distribution of real-space singularities and eigenstates in the microwave band, and can be widely applied to fields such as singularity manipulation, multi-channel vortex optical communication, and sensing, expanding its applications in vortex generation and topological optics.

[0071] The above content is a further detailed description of the present invention in combination with specific / preferred embodiments, and it cannot be determined that the specific implementation of the present invention is only limited to these descriptions. For those of ordinary skill in the technical field to which the present invention pertains, without departing from the concept of the present invention, several alternatives or modifications can be made to these described embodiments, and these alternative or modified forms should all be regarded as belonging to the protection scope of the present invention. In the description of this specification, the description with reference to terms such as "an embodiment", "some embodiments", "preferred embodiments", "examples", "specific examples", or "some examples" means that the specific features, structures, materials, or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described can be combined in any one or more embodiments or examples in a suitable manner. Without contradiction, those skilled in the art can combine and combine the different embodiments or examples described in this specification and the features of different embodiments or examples. Although the embodiments of the present invention and their advantages have been described in detail, it should be understood that various changes, substitutions, and alterations can be made herein without departing from the scope of protection of the patent application.

Claims

1. A three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity, characterized in that Comprising: A dielectric ceramic cube as the infrastructure; Symmetric through-holes are formed on the dielectric ceramic cube along the three-dimensional orthogonal directions of the center of the dielectric ceramic cube. Through its structural layout and in cooperation with the symmetry of the cube, it induces the generation of three-dimensional zero-field singularities within the continuous spectrum of free space, and through the induced three-dimensional zero-field singularities, it regulates the field distribution and propagation behavior of electromagnetic waves within the cavity.

2. The three-dimensional topological singularity regulation structure according to claim 1, wherein The ceramic material forming the dielectric ceramic cube is selected according to the required electromagnetic wave regulation characteristics and the generation conditions of three-dimensional zero-field singularities.

3. The three-dimensional topological singularity regulation structure according to claim 1, characterized in that, The cross-sectional shape of the symmetric through-hole is circular, square, or other regular polygons with side length > 3, and the radius of the circular hole of the symmetric through-hole is r, and the edge length of the cube is a. By changing the geometric parameters a and r, the microwave response and frequency band can be regulated.

4. The three-dimensional topological singularity regulation structure according to claim 1, wherein The material of the dielectric ceramic cube is alumina ceramic.

5. The three-dimensional topological singularity regulation structure according to claim 1, characterized in that The dielectric ceramic cube is formed by high-temperature firing treatment to enhance the stability and mechanical strength of the cavity structure.

6. A preparation method of the three-dimensional topological singularity regulation structure based on a symmetric dielectric cube cavity as described in claim 1, characterized in that, Including the following steps: S1. Design the structural parameters of the symmetric dielectric cube cavity, including the size of the cube, the shape and size of the symmetric through-hole, and the characteristics of the dielectric material; S2. Use ceramic 3D printing technology to fabricate the dielectric ceramic cube according to the designed structural parameters; S3. Perform curing and firing treatments on the prepared dielectric ceramic cube to obtain the symmetric dielectric cube cavity structure.

7. The preparation method of the three-dimensional topological singularity regulation structure according to claim 6, characterized in that, The use of ceramic 3D printing technology to fabricate the dielectric ceramic cube includes: Mixing photosensitive ceramic resin with liquid photopolymer resin to form a slurry suitable for 3D printing; Using slicing software to perform layer slicing and path planning on the designed symmetric dielectric cube cavity structure to generate a data file recognizable by the 3D printing device; Using the 3D printing device to layer-by-layer print the green body of the symmetric dielectric cube cavity according to the data file; Clean the green body to remove the uncured resin.

8. An application of the three-dimensional topological singularity regulation structure based on the symmetric dielectric cube cavity described in claim 1, characterized in that, Apply the symmetric dielectric cube cavity structure to topological photonics to achieve the generation and arbitrary manipulation of three-dimensional topological singularities, including constructing a topological edge state trapping system, a photonic three-dimensional supercage, multi-channel vortex optical communication, sensing, etc.

Images