Beam Angle Control Method, Optical System and Storage Medium Based on Conformal Transformation

Abstract

The present invention relates to a beam angle control method, device, optical system and storage medium based on conformal transformation. The method includes: inputting a target control angle, and determining an initial deflection angle and a scale factor of conformal transformation based on the target control angle; generating a phased array modulation matrix according to the initial deflection angle; generating a phase modulation amount of conformal transformation and a sector selection control parameter according to the initial deflection angle and the scale factor of conformal transformation. The phase modulation amount of conformal transformation acts on a conformal transformer to generate a beam located in a plurality of sectors, and the sector selection control parameter acts on a sector selector to retain the beam in one of the sectors. The number of sectors is the scale factor of conformal transformation; performing beam angle control according to the phased array modulation matrix, the phase modulation amount of conformal transformation and the sector selection control parameter. Compared with the prior art, the present invention has the advantages of improving accuracy and the like.

Description

Technical Field

[0001] The present invention relates to the field of beam angle control, and more particularly to a beam angle control method, device, optical system and storage medium based on conformal transformation. Background Art

[0002] An optical phased array can control a beam by separately controlling the change amount of the phase of each pixel. However, the accuracy of beam control is limited by the distance between the phased array elements. Precise beam control plays a crucial role in fields such as lithography and optical precision machining, and restricts the performance of these fields.

[0003] For example, the literature "Liquid crystal optical phased array device with a finest steering precision of a few micro-radians" (Ziqiang, Huang, Xiangru, et al. Optics Communications, 2014.) proposed a liquid crystal vernier optical phased array for controlling an incident laser beam at large angles and with high precision. The liquid crystal vernier phased array electronically integrates a liquid crystal wedge and a liquid crystal grating to improve the steering precision to the order of 1 μrad. The steering precision is defined by the deviation between the controlled steering angle and the desired steering angle. Experimental results show that the designed liquid crystal vernier phased array has a precision better than 2 μrad. However, the disadvantage is that the steering range of the liquid crystal optical wedge is too narrow.

[0004] Another example is the literature "Sub-aperture coherence method to realize ultra-high resolution laser beam deflection" (Tang Z, Wang X, Huang Z, et al. Optics Communications, 2015, 335: 1-6.), which proposed a new phase control method, the sub-aperture coherence method, to realize ultra-high resolution laser beam deflection. The sub-aperture coherence method is characterized in that the liquid crystal optical phased array is electronically divided into two sub-domains, and variable-period grating phases with similar deflection angles are loaded in the two sub-domains respectively, so as to realize other precise deflection angles between the two angles. Numerical simulation and experiments verified the characteristic of the sub-aperture coherence method in improving the beam deflection precision. However, there is a disadvantage that the incident beam width and the beam center position will affect the pointing precision of the sub-aperture coherence method.

[0005] In summary, due to the existing accuracy limitations of the phased array, the control accuracy of light rays is always not high. Summary of the Invention

[0006] The object of the present invention is to provide a beam angle control method, device, optical system and storage medium based on conformal transformation.

[0007] The object of the present invention can be achieved by the following technical solutions:

[0008] A beam angle control method based on conformal transformation, comprising:

[0009] Input a target control angle, and determine an initial deflection angle and a scale factor of conformal transformation based on the target control angle;

[0010] Generate a phased array modulation matrix according to the initial deflection angle, wherein the phased array modulation matrix acts on an optical phased array to control the optical phased array to deflect the beam by an angle of the initial deflection angle;

[0011] Generate a phase modulation amount of conformal transformation and a sector selection control parameter according to the initial deflection angle and the scale factor of conformal transformation, wherein the phase modulation amount of conformal transformation acts on a conformal transformer to generate a beam located in a plurality of sectors, and the sector selection control parameter acts on a sector selector to retain the beam in one of the sectors, and the number of sectors is the scale factor of conformal transformation;

[0012] Perform beam angle control according to the phased array modulation matrix, the phase modulation amount of conformal transformation and the sector selection control parameter.

[0013] The determining the initial deflection angle and the scale factor of conformal transformation based on the target control angle includes:

[0014] Based on a pre-configured set of scale factors of conformal transformation, calculate the initial deflection angle corresponding to each scale factor of conformal transformation, wherein the pre-configured set of scale factors of conformal transformation consists of all scale factors of conformal transformation supported by the conformal transformer;

[0015] Select an initial deflection angle belonging to a pre-configured set of phased array deflection angles as the selected initial deflection angle, and use the scale factor of conformal transformation corresponding to the selected initial deflection angle as the selected scale factor of conformal transformation, wherein the set of phased array deflection angles consists of all deflection angles supported by the optical phased array.

[0016] The phased array modulation matrix is specifically:

[0017]

[0018] Where: Φ is the phased array modulation matrix, j is the imaginary unit, k is 2π / λ, d x is the element spacing on the x-axis, d y is the element spacing on the y-axis, The pitch angle component of the initial deflection angle, θ is the azimuth angle component of the initial deflection angle, λ is the wavelength, and x and y are the x-axis and y-axis matrices respectively.

[0019] Generating the phase modulation amount of the conformal transformation and the sector selection control parameter according to the initial deflection angle and the scale factor of the conformal transformation includes:

[0020] Generating the phase modulation amount of the conformal transformation by combining the initial deflection angle and the scale factor of the conformal transformation with the scaling parameter;

[0021] Generating the sector selection control parameter by combining the scale factor of the conformal transformation with the target control angle.

[0022] An optical system includes a laser, an optical phased array, and an image plane arranged in sequence along the optical path, and further includes a control device, a conformal transformer, and a sector selector. The conformal transformer and the sector selector are sequentially arranged between the optical phased array and the image plane. The control device is respectively connected to the optical phased array, the conformal transformer, and the sector selector, and the control device is configured to perform the following steps:

[0023] Input the target control angle, and determine the initial deflection angle and the scale factor of the conformal transformation based on the target control angle;

[0024] Generating a phased array modulation matrix according to the initial deflection angle, wherein the phased array modulation matrix acts on the optical phased array to control the optical phased array to deflect the light beam by an angle of the initial deflection angle;

[0025] Generating the phase modulation amount of the conformal transformation and the sector selection control parameter according to the initial deflection angle and the scale factor of the conformal transformation, wherein the phase modulation amount of the conformal transformation acts on the conformal transformer to generate a light beam located in multiple sectors, and the sector selection control parameter acts on the sector selector to retain the light beam in one of the sectors, and the number of the sectors is the scale factor of the conformal transformation;

[0026] Performing beam angle control according to the phased array modulation matrix, the phase modulation amount of the conformal transformation, and the sector selection control parameter.

[0027] The determining the initial deflection angle and the scale factor of the conformal transformation based on the target control angle includes:

[0028] Calculating the initial deflection angle corresponding to each scale factor of the conformal transformation based on a pre-configured set of scale factors of the conformal transformation, wherein the pre-configured set of scale factors of the conformal transformation consists of all the scale factors of the conformal transformation supported by the conformal transformer;

[0029] Select an initial deflection angle belonging to a pre-configured set of phased array deflection angles as the selected initial deflection angle, and use the scale factor of the conformal transformation corresponding to the selected initial deflection angle as the selected scale factor of the conformal transformation, where the set of phased array deflection angles consists of all deflection angles supported by the optical phased array.

[0030] The phased array modulation matrix is specifically:

[0031]

[0032] Where: Φ is the phased array modulation matrix, j is the imaginary unit, k is 2π / λ, d x is the element spacing on the x-axis, d y is the element spacing on the y-axis, is the elevation angle component of the initial deflection angle, θ is the azimuth angle component of the initial deflection angle, λ is the wavelength, and x, y are the x-axis and y-axis matrices respectively.

[0033] The generating of the phase modulation amount and the sector selection control parameter of the conformal transformation according to the initial deflection angle and the scale factor of the conformal transformation includes:

[0034] Generate the phase modulation amount of the conformal transformation according to the initial deflection angle and the scale factor of the conformal transformation, in combination with the scaling parameter;

[0035] Generate the sector selection control parameter according to the scale factor of the conformal transformation, in combination with the target control angle.

[0036] A beam angle control device based on conformal transformation, including a memory, a processor, and a program stored in the memory, and when the processor executes the program, the above-mentioned method is implemented.

[0037] A storage medium, on which a program is stored, and when the program is executed, the above-mentioned method is implemented.

[0038] Compared with the prior art, the present invention has the following beneficial effects:

[0039] 1. Based on the method of conformal transformation, if the scale factor of the conformal transformation is set to n, the initial deflection angle can be decomposed into n sectors, and the deflection in each sector is one nth of the initial deflection angle, thus greatly improving the accuracy of beam angle control. While achieving finer deflection angle granularity control, the angle control error is also reduced.

[0040] 2. The use of a sector selector can filter out redundant information and reduce redundancy. Description of the Drawings

[0041] Figure 1 It is a schematic structural diagram of the present invention.

[0042] Figure 2 Optical system optical path diagram of an embodiment of the present invention.

[0043] Figure 3 Simulation diagram (n = 2) of an embodiment of the present invention.

[0044] Figure 4 Experimental far - field light intensity distribution diagram (n = 2, θ = 0°) of an embodiment of the present invention.

[0045] Figure 5 Simulation diagram (n = 3) of another embodiment of the present invention.

[0046] Figure 6 Experimental far - field light intensity distribution diagram (n = 3, θ = 0°) of another embodiment of the present invention. Detailed implementation manners

[0047] The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments. This embodiment is implemented on the premise of the technical solution of the present invention, and gives detailed implementation manners and specific operation processes, but the protection scope of the present invention is not limited to the following embodiments.

[0048] As Figure 1 The shown optical system includes a laser 1, an optical phased array 2, a conformal transformer 3, a sector selector 4, an image plane 5, and a control device. The laser's emitted laser light passes through the optical phased array 2, the conformal transformer 3, and the sector selector 4 in sequence. The control device is respectively connected to the optical phased array 2, the conformal transformer 3, and the sector selector 4. The light beam passing through the laser, the optical phased array, the conformal transformer, and the sector selector should be on the same horizontal plane;

[0049] Among them, the laser is used to emit laser light. The optical phased array based on a spatial light modulator can independently control the change amount of the phase of each pixel on the modulator, perform phase modulation on the light beam transmitted to it, so as to deflect the light beam. The conformal transformer based on a spatial light modulator realizes conformal transformation. The conformal transformer divides and maps the light beam transmitted to it onto complementary arcs, thereby realizing the circular sector transformation of the light beam; the sector selector realizes spatial light filtering to select the required light beam.

[0050] The specific process of this application is as follows:

[0051] Input the target control angle, and determine the initial deflection angle and the scale factor of conformal transformation based on the target control angle;

[0052] Generate a phased array modulation matrix according to the initial deflection angle. Among them, the phased array modulation matrix acts on the optical phased array to control the optical phased array to deflect the light beam by an angle equal to the initial deflection angle;

[0053] Generate the phase modulation amount and sector selection control parameter of the conformal transformation according to the initial deflection angle and the scale factor of the conformal transformation. Among them, the phase modulation amount of the conformal transformation acts on the conformal transformer to generate a light beam located in multiple sectors, and the sector selection control parameter acts on the sector selector to retain the light beam in one of the sectors. The number of sectors is the scale factor of the conformal transformation;

[0054] Perform beam angle control according to the phased array modulation matrix, the phase modulation amount of the conformal transformation, and the sector selection control parameter.

[0055] Among them, determining the initial deflection angle and the scale factor of the conformal transformation based on the target control angle includes: calculating the initial deflection angle corresponding to each scale factor of the conformal transformation based on the pre-configured set of scale factors of the conformal transformation, where the pre-configured set of scale factors of the conformal transformation consists of all the scale factors of the conformal transformation supported by the conformal transformer;

[0056] Select an initial deflection angle belonging to the pre-configured set of phased array deflection angles as the selected initial deflection angle, and use the scale factor of the conformal transformation corresponding to the selected initial deflection angle as the selected scale factor of the conformal transformation. Among them, the set of phased array deflection angles consists of all the deflection angles supported by the optical phased array,

[0057] Since the conformal transformation can obtain the transformed angle based on the initial deflection angle, the specific values are:

[0058]

[0059] Among them: n is the scale factor of the conformal transformation. Taking the granularity of the deflection angle supported by the optical phased array 2 as 60 degrees as an example, the elements included in the pre-configured set of phased array deflection angles are 0°, 60°, 120°, 180°, 240°, and 300°. Assuming the initial deflection angle is 60 degrees, when the scale factor of the conformal transformation is 2, 2 light beams can be formed, with angles of 30° and (30 + 180)° respectively, located in two 180° sectors. When the scale factor of the conformal transformation is 3, 3 angles can be obtained, which are 20°, (20 + 120)°, and (20 + 240)° respectively, located in three 120° sectors. Therefore, for example, when the target control angle is 80°, the optical phased array 2 cannot achieve this deflection angle, so the conformal transformer needs to intervene. Assuming the scale factor of the conformal transformation is 2, at this time, the initial deflection angle required is 160 degrees, which is not in the set of phased array deflection angles. Assuming the scale factor of the conformal transformation is 3, at this time, the required initial deflection angle is 60 degrees, which is in the set of phased array deflection angles. Therefore, the selected initial deflection angle is 60°, and the scale factor of the conformal transformation is 3.

[0060] The following is verified by the experimental device as Figure 2 shown. The experimental device is implemented through beam splitters 7 and 8 and captures signals based on charge-coupled detector 6.

[0061] For a device based on conformal transformation to improve angle control accuracy in this embodiment, a specific example is used for verification. The working wavelength of the laser is λ = 671 nm; the size of the beam splitter is 2.5×2.5×2.5 (cm 3 ); the spatial light modulator is of the reflective type, with a dimension of 800×600, and the size of each pixel is dx (9.4 um); the size of the charge-coupled detector is 1.41312×0.7452 (cm 2 ).

[0062] (1) According to Figure 2 an optical system based on conformal transformation to improve angle control accuracy provided, an optical path transmission system is established. The laser output beam reaches the first spatial light modulator to load the optical phased array, and the outgoing beam reaches the second spatial light modulator to load the conformal transformer. The charge-coupled detector is used to detect the final outgoing beam, and the beam splitter is used for optical path regulation in the middle.

[0063] (2) Set the pitch angle and azimuth angle of the beam deflection to be θ1 = 0° and θ2 = 90° respectively, which are the deflection angles within the field of view of the spatial light modulator, and set the scale factor n of the conformal transformation to 2.

[0064] (3) Calculate the phase modulation amount corresponding to the deflection angle, and substitute the set pitch angle θ1 = 0° and θ2 = 90° of the beam deflection into the phase loading formula respectively to obtain the phased array modulation matrices required for angle deflection where d x represents the element pitch on the x-axis; d y represents the element pitch on the y-axis; k represents the wave number, k = 2π / λ, λ represents the wavelength; ± represents the deflection direction, and x, y represent matrices.

[0065] (4) Calculate the phase modulation amount of the conformal transformation. Set the scaling parameters p = 450 μm, q = 300 μm, f = 20 cm respectively; substitute n = 2 into the conformal transformation phase function where k = 2π / λ, and obtain the phase modulation amounts W m,2 (r,θ1), W m,2 (r,θ2).

[0066] (5) Load the optical phased array modulation matrix Φ1 onto the optical phased array, and the phase modulation amount W required for conformal transformationm,2 (r, θ1) is loaded into the conformal transducer, so that the phase modulation amount generated by the optical phased array satisfies the value calculated by Φ in (3), and the phase modulation amount generated by the conformal transducer satisfies W calculated by (4) for m,n (r, θ). The simulation diagram when the azimuth angle θ1 = 0° is obtained as shown in Figure 3 (a). The optical phased array modulation matrix Φ2 is loaded into the optical phased array, and the phase modulation amount W required for conformal transformation m,2 (r, θ2) is loaded into the conformal transducer, so that the phase modulation amount generated by the optical phased array satisfies the value calculated by Φ in (3), and the phase modulation amount generated by the conformal transducer satisfies W calculated by (4) for m,n (r, θ). The simulation diagram when the azimuth angle θ2 = 90° is obtained as shown in Figure 3 (b). By comparison, it can be concluded that after passing through the conformal transducer, the angle changes from the original 90° to 45°, that is, 1 / 2 of the original.

[0067] (6) The light field distribution diagram is captured by a charge-coupled detector in the far field. Figure 4 (a) is the experimental far-field light intensity distribution diagram when n = 2 and θ = 0°. Two light spots are obtained, verifying the conformal transformation from a circle to a circular sector. The angle control accuracy is 1 / 2 of the original; the beam with an angle of is selected by the sector selector, and one beam at other angles is filtered out. The experimental results when n = 2 are as shown in Figure 4 (b).

[0068] For a method of improving angle control accuracy based on conformal transformation in this embodiment, a specific example is used for verification. The working wavelength of the laser λ = 671 nm; the size of the beam splitter is 2.5×2.5×2.5 (cm 3 ); the spatial light modulator is of the reflective type, with a dimension of 800×600, and the size of each pixel is dx (9.4 um); the size of the charge-coupled detector is 1.41312×0.7452 (cm 2 ).

[0069] (1) According to Figure 2 An optical system for improving angle control accuracy based on conformal transformation is provided. An optical path transmission system is established. The laser output beam reaches the first spatial light modulator to load the optical phased array, and the outgoing beam reaches the second spatial light modulator to load the conformal transducer. A charge-coupled detector is used to detect the final outgoing beam, and a beam splitter is used for optical path regulation in the middle.

[0070] (2) Set the beam deflection pitch angle The azimuth angles are set to θ1 = 0° and θ2 = 90° respectively, which are the deflection angles within the field of view of the spatial light modulator, and the scale factor n of the conformal transformation is set to 3.

[0071] (3) Calculate the phase modulation amount corresponding to the deflection angle, and substitute the set beam deflection pitch angles θ1 = 0° and θ2 = 90° into the phase loading formula to obtain the phased array modulation matrices required for angle deflection respectively where d x represents the element pitch on the x-axis; d y represents the element pitch on the y-axis; k represents the wave number, k = 2π / λ, λ represents the wavelength; ± represents the deflection direction, and x, y represent matrices.

[0072] (4) Calculate the conformal transformation phase modulation amount, and set the scaling parameters p = 450μm, q = 300μm, f = 20cm respectively; substitute n = 3 into the conformal transformation phase function where k = 2π / λ, and obtain the phase modulation amount W m,3 (r,θ1), W m,3 (r,θ2).

[0073] (5) Load the optical phased array modulation matrix Φ1 onto the optical phased array, and load the phase modulation amount W m,3 (r,θ1) required for conformal transformation onto the conformal transformer, so that the phase modulation amount generated by the optical phased array satisfies the value calculated by Φ in (3), and the phase modulation amount generated by the conformal transformer satisfies the value calculated by W m,n (r,θ) in (4). The simulation diagram when the azimuth angle θ1 = 0° is as shown in Figure 5 (a). Load the optical phased array modulation matrix Φ2 onto the optical phased array, and load the phase modulation amount W m,3 (r,θ2) required for conformal transformation onto the conformal transformer, so that the phase modulation amount generated by the optical phased array satisfies the value calculated by Φ in (3), and the phase modulation amount generated by the conformal transformer satisfies the value calculated by W m,n (r,θ) in (4). The simulation diagram when the azimuth angle θ2 = 90° is as shown in Figure 5 (b). By comparison, it can be concluded that after passing through the conformal transformer, the angle changes from the original 90° to 30°, that is, 1 / 3 of the original.

[0074] (6) Capture the light field distribution diagram with a charge-coupled detector in the far field, Figure 6 (a) is the experimental far-field light intensity distribution diagram when n = 3 and θ = 0°. Three light spots are obtained, verifying the transformation from a circle to a circular sector The conformal transformation has an angular control accuracy that is 1 / 3 of the original; the sector selector is used to select a light beam with an angle of and filter out two light beams at other angles, and the experimental results when n = 3 are as shown in Figure 6 (b) of

[0075] It can be seen from the experimental results that the method provided by the present invention can improve the angular control accuracy. When the Gaussian light beam deflects the pitch angle and the azimuth angle θ, the input light beam is mapped to a circular sector with an amplitude of 2π / n and centered at (i - 1)2π / n (i = 1, 2,..., n) through conformal transformation. Therefore, n light spots are obtained, and the azimuth angle control accuracy becomes 1 / n of the original, improving the angular control accuracy.

[0076] If the above functions are implemented in the form of software function units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on such an understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or a part of this technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions for causing a computer device (which can be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: USB flash drives, mobile hard disks, read-only memories (ROM, Read-Only Memory), random access memories (RAM, Random Access Memory), magnetic disks, or optical discs and other various media that can store program codes.

Claims

1. A method for controlling the beam angle based on conformal transformation, characterized in that, Including: Input a target control angle, and determine an initial deflection angle and a conformal transformation scale factor based on the target control angle; Generate a phased array modulation matrix according to the initial deflection angle, wherein the phased array modulation matrix acts on the optical phased array to control the optical phased array to deflect the light beam by an angle equal to the initial deflection angle; Generate a phase modulation amount for conformal transformation and a sector selection control parameter according to the initial deflection angle and the conformal transformation scale factor, wherein the phase modulation amount for conformal transformation acts on the conformal transformer to generate light beams located in multiple sectors, and the sector selection control parameter acts on the sector selector to retain the light beam in one of the sectors, and the number of the sectors is the conformal transformation scale factor; Perform light beam angle control according to the phased array modulation matrix, the phase modulation amount for conformal transformation, and the sector selection control parameter; The generating the phase modulation amount for conformal transformation and the sector selection control parameter according to the initial deflection angle and the conformal transformation scale factor includes: According to the initial deflection angle and the scale factor of the conformal transformation, a phase modulation amount of the conformal transformation is generated in combination with the scaling parameters. Specifically: the scaling parameters p = 450 μm, q = 300 μm, and f = 20 cm are set respectively; n = 2 is substituted into the conformal transformation phase function where the phase modulation amount of n = 2 is obtained; Generate the sector selection control parameter according to the conformal transformation scale factor in combination with the target control angle.

2. The method for controlling the beam angle based on conformal transformation according to claim 1, characterized in that The determining the initial deflection angle and the conformal transformation scale factor based on the target control angle includes: Based on a pre-configured set of conformal transformation scale factors, calculate the initial deflection angle corresponding to each conformal transformation scale factor, wherein the pre-configured set of conformal transformation scale factors consists of all the conformal transformation scale factors supported by the conformal transformer; Select an initial deflection angle belonging to a pre-configured set of phased array deflection angles as the selected initial deflection angle, and use the conformal transformation scale factor corresponding to the selected initial deflection angle as the selected conformal transformation scale factor, wherein the set of phased array deflection angles consists of all the deflection angles supported by the optical phased array.

3. A method for controlling the beam angle based on conformal transformation according to claim 1, characterized in that, The phased array modulation matrix is specifically: Where: Φ is the phased array modulation matrix, j is the imaginary unit, k is 2π / λ, d x is the element spacing on the x-axis, d y is the element spacing on the y-axis, is the elevation angle component of the initial deflection angle, θ is the azimuth angle component of the initial deflection angle, λ is the wavelength, and x and y are the x-axis and y-axis matrices respectively.

4. An optical system, comprising a laser, an optical phased array, and an image plane sequentially arranged along an optical path, wherein, It further includes a control device, a conformal transformer, and a sector selector. The conformal transformer and the sector selector are sequentially arranged between the optical phased array and the image plane. The control device is respectively connected to the optical phased array, the conformal transformer, and the sector selector, and the control device is configured to execute the following steps: Input a target control angle, and determine an initial deflection angle and a conformal transformation scale factor based on the target control angle; Generate a phased array modulation matrix according to the initial deflection angle, wherein the phased array modulation matrix acts on the optical phased array to control the optical phased array to deflect the light beam by an angle equal to the initial deflection angle; Generate a phase modulation amount for conformal transformation and a sector selection control parameter according to the initial deflection angle and the conformal transformation scale factor, wherein the phase modulation amount for conformal transformation acts on the conformal transformer to generate light beams located in multiple sectors, and the sector selection control parameter acts on the sector selector to retain the light beam in one of the sectors, and the number of the sectors is the conformal transformation scale factor; Perform light beam angle control according to the phased array modulation matrix, the phase modulation amount for conformal transformation, and the sector selection control parameter; The generating the phase modulation amount for conformal transformation and the sector selection control parameter according to the initial deflection angle and the conformal transformation scale factor includes: According to the initial deflection angle and the scale factor of the conformal transformation, specifically: set the scaling parameters p = 450 μm, q = 300 μm, f = 20 cm respectively; substitute n = 2 into the conformal transformation phase function where k = 2π / λ, and obtain the phase modulation amount for n = 2; Generate a fan-shaped selection control parameter according to the scale factor of the conformal transformation and in combination with the target control angle.

5. The optical system according to claim 4, characterized in that, Determining the initial deflection angle and the scale factor of the conformal transformation based on the target control angle includes: Calculating the initial deflection angle corresponding to each scale factor of the conformal transformation based on a pre-configured set of scale factors of the conformal transformation, where the pre-configured set of scale factors of the conformal transformation consists of all the scale factors of the conformal transformation supported by the conformal transformer; Selecting an initial deflection angle belonging to a pre-configured set of phased array deflection angles as the selected initial deflection angle, and using the scale factor of the conformal transformation corresponding to the selected initial deflection angle as the selected scale factor of the conformal transformation, where the set of phased array deflection angles consists of all the deflection angles supported by the optical phased array.

6. The optical system according to claim 4, characterized in that, The phased array modulation matrix is specifically: Where: Φ is the phased array modulation matrix, j is the imaginary unit, k is 2π / λ, d x is the element spacing on the x-axis, d y is the element spacing on the y-axis, is the pitch angle component of the initial deflection angle, θ is the azimuth angle component of the initial deflection angle, λ is the wavelength, and x and y are the x-axis and y-axis matrices respectively.

7. A beam angle control device based on conformal transformation, comprising a memory, a processor, and a program stored in the memory, characterized in that, When the processor executes the program, it implements the method described in any one of claims 1-3.

8. A storage medium having a program stored thereon, characterized in that, When the program is executed, it implements the method described in any one of claims 1-3.

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