A method and device for determining the coating area of ​​absorbing material

Through VV and HH polarization radar wave incident simulation and multi-objective optimization algorithm, the coating area of ​​the absorbing material is determined, the uncertainty problem of the coating area is solved, and the effect of optimal RCS control and minimum material consumption is achieved.

CN115422829BActive Publication Date: 2025-10-03CHINESE PEOPLES LIBERATION ARMY UNIT 92942
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Patent Information

Application Number
CN202210948821.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-08-09
Publication Date
2025-10-03
Estimated Expiration
2042-08-09

AI Technical Summary

Technical Problem

When coating an object's surface with absorbing material, it is difficult to find the optimal solution that meets engineering applications between controlling the radar cross-section (RCS) and the coating area, resulting in uncertainty in the coating area and affecting the application effect and cost of the absorbing material.

Method used

Radar wave incidence simulation was performed using VV and HH polarization modes, and a mapping relationship between the hotspot threshold and the coating area was established. Combined with a multi-objective optimization algorithm, the Pareto optimal solution set was calculated using the Isight optimization design function and CST software to determine the optimal coating area and coating amount.

Benefits of technology

It is achieved by using the least amount of absorbing material coating while controlling the RCS value, achieving the effect of optimal RCS control and minimum material usage, taking into account both economy and effect.

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Abstract

The present application relates to the field of radar application technology and discloses a method and device for determining the coating area of ​​an absorbing material, wherein the method comprises: using VV polarization mode to simulate i radar wave incidents, and obtaining a hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1; the HH polarization mode is used to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1; according to the constraint conditions of the target object for the RCS value, the optimization goal of minimizing the coating area, the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), and determine the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm.
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Description

Technical Field

[0001] The present application relates to the field of radar application technology, for example, to a method and device for determining an area coated with an absorbing material. Background Art

[0002] Currently, controlling an object's radar cross section (RCS) is typically done through external design. However, in engineering applications, external design is subject to overall constraints and has numerous limitations. Therefore, once the external design is finalized, further control of the object's RCS is typically achieved through coating with absorbing materials. The coating area directly impacts RCS control effectiveness. While the entire object is typically coated, this results in increased procurement and maintenance costs, as well as weight. Partial coating is difficult to determine, and any deviations in the coating area significantly reduce the effectiveness of the absorbing material. Therefore, determining the coating area of ​​an object's surface and controlling its RCS value presents a typical multi-object optimization design problem. Finding a solution that balances coating area and RCS control effectiveness has become a pressing technical challenge. Summary of the Invention

[0003] In order to provide a basic understanding of some aspects of the disclosed embodiments, a brief summary is given below. The summary is not an extensive review, nor is it intended to identify key / critical elements or delineate the scope of protection of these embodiments, but rather serves as a prelude to the detailed description that follows.

[0004] The present application provides a method and apparatus for determining the coating area of ​​an absorbing material, a computing device, and a storage medium. While controlling the RCS value of an object, the method minimizes the coating area of ​​the absorbing material to achieve a multi-objective optimization effect of optimal RCS value control and minimal absorbing material usage.

[0005] In some embodiments, the method for determining the absorbing material coating area includes:

[0006] Use VV polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1;

[0007] Use HH polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing materialHi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1;

[0008] According to the constraints of the target object on the RCS value, the optimization goal of minimizing the coating area, the first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), and determine the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm.

[0009] Optionally, the VV polarization mode is used to perform i radar wave incident simulations to obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ),include:

[0010] Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n is equal to 360° / i;

[0011] At each incident angle, a vertical radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. vi ;

[0012] According to the i hot spot simulation graph P vi , establish the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ).

[0013] Optionally, the HH polarization method is used to perform i radar wave incident simulations to obtain the hotspot threshold α of the target object. Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ),include:

[0014] Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n is equal to 360° / i;

[0015] At each incident angle, a horizontal radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. Hi ;

[0016] According to the i hot spot simulation graph P Hi , establish the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The first mapping function S Hi =h i (α Hi ).

[0017] Optionally, the i is 72, the n° is 5°, and the frequency of the fixed band is 8 GHz.

[0018] Optionally, determining the Pareto optimal solution set of the RCS value and the coating area by a multi-objective optimization algorithm includes:

[0019] Use Isight to optimize the design function and embed the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi );

[0020] Based on the constraints on the RCS value of the target object and the optimization goal of minimizing the coating area, the CST software is used to calculate the RCS value, hot spot threshold and coating area of ​​the absorber material of the target object;

[0021] A closed loop is formed with the Isight optimization design function, and joint simulation calculations are performed through the Isight optimization design function and CST software. The Pareto optimal solution set is calculated through the multi-island genetic algorithm in the Isight optimization design function.

[0022] Optionally, the constraints of the RCS value include: RCS value ≤ 70, 0 ≤ α vi ≤1 and 0≤α Hi ≤1.

[0023] Optionally, after determining the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm, the method further includes:

[0024] Reversely selecting the final optimized design parameters of the target object from the Pareto optimal solution set;

[0025] Determine the coating location and coating area of ​​the absorbing material based on the final optimized design parameters of the target object

[0026] In some embodiments, the device for determining the area coated with the absorbing material includes:

[0027] The first polarization module is configured to use VV polarization to simulate the i-th radar wave incident and obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1;

[0028] The second polarization module is configured to use HH polarization to simulate the i-th radar wave incident and obtain the hotspot threshold α of the target object. Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1;

[0029] The multi-objective optimization module is configured to optimize the RCS value of the target object according to the constraints of the RCS value, the optimization goal of minimizing the coating area, the first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), and determine the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm.

[0030] In some embodiments, the computing device includes a processor and a memory storing program instructions, and the processor is configured to execute the method for determining the absorbing material coating area as described in the present application when running the program instructions.

[0031] In some embodiments, the storage medium stores program instructions, and when the program instructions are run, the method for determining the absorbing material coating area as described in the present application is executed.

[0032] The present application provides a method and apparatus for determining an absorbing material coating area, a computing device, and a storage medium, which can achieve the following technical effects:

[0033] This application obtains the mapping relationship between the hotspot threshold of the target object and the coating area of ​​the absorbing material, and then performs a multi-objective optimization operation based on the constraints on the target object's RCS value and the optimization goal of minimizing the coating area to obtain the Pareto optimal solution set of the RCS value and the coating area. This can balance the RCS control effect and the economic efficiency of the absorbing material. While minimizing the RCS value of the target object, the minimum amount of absorbing material coating is used, achieving the multi-objective optimal effect of optimal RCS control and minimum absorbing material usage.

[0034] The above general description and the following description are exemplary and explanatory only and are not intended to limit the present application. BRIEF DESCRIPTION OF THE DRAWINGS

[0035] One or more embodiments are exemplarily described by corresponding drawings. These exemplary descriptions and drawings do not limit the embodiments. Elements with the same reference numerals in the drawings are shown as similar elements. The drawings do not constitute a scale limitation. In addition,

[0036] Figure 1 is a schematic diagram of a method for determining an absorbing material coating area provided in this application;

[0037] Figure 2 is a schematic diagram of another method for determining the coating area of ​​an absorbing material provided by the present application;

[0038] Figure 3 is a schematic diagram of a simulation model of a target object provided by this application;

[0039] Figure 4 is a schematic diagram of a hotspot simulation map of a target object according to an embodiment of the present disclosure;

[0040] Figure 5 is a schematic diagram of another method for determining the coating area of ​​an absorbing material provided by the present application;

[0041] Figure 6 is a schematic diagram of another method for determining the coating area of ​​an absorbing material provided by the present application;

[0042] Figure 7 is a schematic diagram of another method for determining the coating area of ​​an absorbing material provided by the present application;

[0043] Figure 8 This is a schematic diagram of a Pareto optimal solution set provided by this application;

[0044] Figure 9 It is a schematic diagram of a specific application provided by this application;

[0045] Figure 10This is a schematic diagram of a device for determining an absorbing material coating area provided by the present application;

[0046] Figure 11 It is a schematic diagram of a computing device provided by this application. DETAILED DESCRIPTION

[0047] In order to be able to understand the features and technical content of the embodiments of the present disclosure in more detail, the implementation of the embodiments of the present disclosure is described in detail below in conjunction with the accompanying drawings. The accompanying drawings are for reference only and are not used to limit the embodiments of the present disclosure. In the following technical description, for the sake of convenience of explanation, a full understanding of the disclosed embodiments is provided through multiple details. However, one or more embodiments can still be implemented without these details. In other cases, to simplify the drawings, well-known structures and devices can be simplified for display.

[0048] In the description and claims of the embodiments of the present disclosure, as well as in the accompanying drawings, the terms "first," "second," and the like are used to distinguish similar items and are not necessarily used to describe a particular order or precedence. It should be understood that the terms used in this manner are interchangeable where appropriate to describe the embodiments of the present disclosure herein. In addition, the terms "including," "having," and any variations thereof are intended to cover non-exclusive inclusions.

[0049] Unless otherwise stated, the term "plurality" means two or more.

[0050] In the embodiment of the present disclosure, the character " / " indicates that the preceding and following objects are in an "or" relationship. For example, A / B means: A or B.

[0051] The term "and / or" describes an association between objects, indicating that three relationships can exist. For example, A and / or B means: A or B, or A and B.

[0052] The term "correspondence" may refer to an association relationship or a binding relationship. The correspondence between A and B means that there is an association relationship or a binding relationship between A and B.

[0053] A radar uses an antenna to transmit radar waves to illuminate an object and receives the weak signal reflected back from the object. After signal processing, it detects information about the object or environment, such as distance, speed, direction, and scattering characteristics. The basic processing of a radar system shows that a radar primarily consists of a transmitter, antenna, receiver, signal processor, and display. The radar cross section (RCS) is a measure of an object's ability to reflect radar signals in the radar's receiving direction. The RCS of an object is equal to the ratio of the power reflected from the radar's receiving antenna per unit solid angle (per solid angle) to the power density incident on the target (per square meter).

[0054] Polarization is an essential property of radar waves, providing another crucial dimension of information beyond frequency, amplitude, and phase. Radar wave propagation and scattering are both vector phenomena, and polarization is used to study these vector characteristics of radar waves. The electric field vector of the energy pulse emitted by a radar can be polarized in either the vertical or horizontal plane. Radar can transmit horizontal (H) or vertical (V) electric field vectors and receive horizontal (H) or vertical (V) signals. Four commonly used polarization modes are HH, VV, HV, and VH. Specifically, single polarization refers to (HH) or (VV), meaning horizontal transmission and horizontal reception, or vertical transmission and vertical reception. Dual polarization combines one polarization mode with another, such as HV (horizontal transmission and vertical reception) and VH (vertical transmission and horizontal reception). Full polarization requires simultaneous transmission of both H and V polarization modes, resulting in four polarization modes: HH / HV / VV / VH. The polarization of radar waves is sensitive to the dielectric constant, physical properties, geometric shape and orientation of the target, so polarization measurement can greatly improve the imaging radar's ability to obtain various information about the target.

[0055] In single-object optimization problems, any two solutions can be compared to determine their merits, ultimately yielding the optimal solution. However, for multi-object optimization problems, it's not always possible to compare any two solutions to determine their merits, making it impossible to determine the optimal solution. Only Pareto-optimal solutions, or non-inferior solutions (effective solutions), can be found. Therefore, using a Pareto-optimal solution set can effectively resolve the conflict between the absorber coating location and area and the RCS control effect.

[0056] In addition, the hot spots of an object reflect the intensity of radar wave reflection from the object's surface and can be normalized into a dimensionless variable. Hot spots are usually used in engineering to show that the surface of an object requires further structural optimization to improve the object's RCS value. However, no relevant technology has been found to use hot spots to guide the coating method of absorbing materials.

[0057] In order to determine the optimal solution between the coating area of ​​the absorbing material and the RCS value control, a multi-objective optimization is achieved to achieve the target RCS value with the least amount of absorbing material. Figure 1 As shown, the present application provides a method for determining an absorbing material coating area, comprising:

[0058] Step 101: Use VV polarization mode to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1.

[0059] Step 102: Use HH polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1.

[0060] Step 103: Based on the constraints of the target object on the RCS value, the optimization goal of minimizing the coating area, and the first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), and determine the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm.

[0061] In the embodiment of the present application, if the RCS value of the target object is too large, but its shape cannot be changed, it can only be coated with absorbing materials. At this time, if the RCS value is 100m 2 , but the indicator is 70m 2 Therefore, it is necessary to coat the absorbing material. Considering the economical and bearing capacity of the model, the absorbing material needs to be coated with the minimum amount of the RCS value to be lower than 70m. 2 To this end, the present application performs a total of 2×i radar wave incident simulations using VV polarization and HH polarization, respectively, to establish a first mapping relationship function S between the hotspot threshold of the target object and the coating area of ​​the absorbing material. vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi), and then use the multi-objective optimization algorithm to optimize the above two variables and obtain the Pareto optimal solution set of RCS value and coating area, so as to find the appropriate engineering solution in the Pareto solution set based on the actual needs of the project.

[0062] The method for determining the absorbing material coating area provided in this application obtains a mapping relationship between the hotspot threshold of the target object and the coating area of ​​the absorbing material. A multi-objective optimization operation is then performed based on the constraints on the target object's RCS value and the optimization goal of minimizing the coating area. This yields a Pareto optimal solution set for the RCS value and the coating area. This balances the RCS control effect and the economic efficiency of the absorbing material, achieving the multi-objective optimal effect of optimal RCS control and minimal absorbing material usage while minimizing the RCS value of the target object.

[0063] In the embodiments of this application, Figure 2 As shown, the VV polarization method is used to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ),include:

[0064] Step 201: Starting from the horizontal plane with 0° as the initial incident direction, the angle is increased by n° to determine i incident angles, where n is equal to 360° / i.

[0065] Step 202: Irradiate the target object with a vertical radar wave of a fixed wavelength at each incident angle, and obtain the i hotspot simulation graphs P corresponding to the target object through CST simulation. vi .

[0066] Step 203: Simulate the graph P based on i hot spots vi , establish the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ).

[0067] Optionally, the i is 72, the n° is 5°, and the frequency of the fixed band is 8 GHz.

[0068] In the embodiments of this application, Figure 3 and Figure 4 As shown, establish Figure 3The simulation model of the target object in the image is constructed by using the VV polarization method. The incident direction is 0° from the horizontal plane and the incident band is 8 GHz. The model is substituted into the CST simulation software to obtain the hot spot simulation map P of the target object. v1 , among which, through Figure 4 It can be seen that the darker the area (hotspot value is 1), the greater the reflected energy, and the efficiency of applying the absorbing material here is the highest. The lighter the area (hotspot value is 0), the smaller the reflected energy, and the efficiency of applying the absorbing material here is low or even ineffective. The hotspot threshold determines where the material is applied. For example, when the threshold is 1, the absorbing material is only applied to the inner elliptical area. When the threshold is 0.7, the absorbing material is applied to the outer elliptical area shown in the figure. When the threshold is 0, it means that all areas in the model must be coated with the absorbing material. Therefore, in order to achieve the best RCS control effect and minimize the amount of absorbing material used, the value of the threshold α (0≤α≤1) is a very important optimization design parameter.

[0069] Therefore, for 0° angle of incidence, the hot spot simulation diagram is P v1 , at this time, set the hotspot threshold α v1 is the first optimized variable. On the surface of this model, the hotspot threshold α v1 The coating area of ​​the absorbing material above is S v1 , establish the hotspot threshold α v1 The coating area of ​​the absorbing material is S v1 The mapping function relationship S v1 =f1(α v1 ).

[0070] For 5° angle of incidence, the hot spot simulation diagram is P v2 , at this time, set the hotspot threshold α v2 is the first optimized variable. On the surface of this model, the hotspot threshold α v2 The coating area of ​​the absorbing material above is S v2 , establish the hotspot threshold α v2 The coating area of ​​the absorbing material is S v2 The mapping function relationship S v2 =f2(α v2 ).

[0071] Repeatedly change the angle of radar wave incidence, increasing the incident angle by 5° each time to obtain the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is 1, 2, ..., 72.

[0072] It should be noted that different incident angles will produce different hotspot simulation maps, so the incident angle is adjusted every 5°, and a total of 72 hotspot simulation maps are obtained.

[0073] In this way, through radar wave incident simulation, the vertical mapping relationship between the hotspot threshold of the target object and the coating area of ​​the absorbing material is obtained efficiently and accurately.

[0074] In the embodiments of this application, Figure 5 As shown, the HH polarization method is used to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object. Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ),include:

[0075] Step 501: Starting from the horizontal plane with 0° as the initial incident direction, the angle is increased by n° to determine i incident angles, where n is equal to 360° / i.

[0076] Step 502: Irradiate the target object with a horizontal radar wave of a fixed wavelength at each incident angle, and obtain the i hotspot simulation graphs P corresponding to the target object through CST simulation. Hi .

[0077] Step 503: Simulate the graph P based on i hot spots Hi , establish the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The first mapping function S Hi =h i (α Hi ).

[0078] Optionally, the i is 72, the n° is 5°, and the frequency of the fixed band is 8 GHz.

[0079] In the embodiment of the present application, similarly, for 0° angle of incidence, the hot spot simulation diagram is P H1 , at this time set the hotspot threshold α H1 is the first optimized variable. On the surface of this model, the hotspot threshold α H1 The coating area of ​​the absorbing material above is S H1 , establish the hotspot threshold α H1 The coating area of ​​the absorbing material is S H1 The mapping function relationship S H1 =f1(α H1 ).

[0080] For 5° angle of incidence, the hot spot simulation diagram is P H2, at this time, set the hotspot threshold α H2 is the first optimized variable. On the surface of this model, the hotspot threshold α H2 The coating area of ​​the absorbing material above is S H2 , establish the hotspot threshold α H2 The coating area of ​​the absorbing material is S H2 The mapping function relationship S H2 =f2(α H2 ).

[0081] Repeatedly change the angle of radar wave incidence, increasing the incident angle by 5° each time to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The first mapping function S Hi =f i (α Hi ), where i is 1, 2, ..., 72.

[0082] It should be noted that different incident angles will produce different hotspot simulation maps, so the incident angle is adjusted every 5°, and a total of 72 hotspot simulation maps are obtained.

[0083] In this way, through radar wave incident simulation, the horizontal mapping relationship between the hot spot threshold of the target object and the coating area of ​​the absorbing material is obtained efficiently and accurately.

[0084] In the embodiments of this application, Figure 6 As shown, the multi-objective optimization algorithm is used to determine the Pareto optimal solution set of the RCS value and the coating area, including:

[0085] Step 601: Use Isight to optimize the design function and embed the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ).

[0086] Step 602: Based on the constraints on the RCS value of the target object and the optimization goal of minimizing the coating area, the RCS value, hotspot threshold, and coating area of ​​the absorbing material of the target object are calculated using CST software.

[0087] Step 603: A closed loop is formed with the Isight optimization design function, and a joint simulation operation is performed through the Isight optimization design function and the CST software. The Pareto optimal solution set is calculated in the Isight optimization design function through the multi-island genetic algorithm.

[0088] In the embodiment of the present application, a total of 144 sets of mapping relationship functions between hotspot thresholds and coating areas are obtained. At the same time, the relationship formula of the Pareto optimal solution set is designed:

[0089] (1) The constraints of RCS value include: RCS value ≤ 70, 0 ≤ α vi ≤1 and 0≤α Hi ≤1;

[0090] (2) Optimization objectives: minimization of RCS and coating area;

[0091] (3) The first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ).

[0092] At the same time, the Isight optimization design function was used to embed the above 144 optimization design mapping variables, specify constraints and optimization objectives, and use CST software to calculate the RCS value, hotspot threshold, and coating area of ​​the absorbing material of the target object. This then formed a closed loop with the Isight optimization design function. Joint simulation operations were performed through the Isight optimization design function and CST software, and the Pareto optimal solution set was calculated using the multi-island genetic algorithm in the Isight optimization design function.

[0093] The Isight Optimization Design function is a simulation analysis process automation and multidisciplinary, multi-objective optimization tool. It provides a visual and flexible simulation process platform and interfaces with a variety of mainstream CAE analysis tools. With this tool, users can quickly and easily establish complex simulation analysis processes using a drag-and-drop visual interface, set and modify design variables and design objectives, and automatically perform multiple analysis cycles. It also offers a comprehensive optimization package, including experimental design, optimization methods, approximate models, and Six Sigma Design, to help users gain a deep and comprehensive understanding of the product design space, clarify the relationship between design variables and design objectives, and achieve multidisciplinary, multi-objective optimization design.

[0094] CST stands for Three-Dimensional Electromagnetic Field Simulation Software. It is a comprehensive, accurate, and highly integrated professional simulation software package for 3D electromagnetic, circuit, temperature, and structural stress design engineers. It includes eight studio sub-software components, integrated within a single user interface, providing users with complete system- and component-level numerical simulation and optimization. The software covers the entire electromagnetic frequency band, providing comprehensive full-wave electromagnetic algorithms in both the time and frequency domains, as well as high-frequency algorithms. Typical applications include collaborative simulations for electromagnetic compatibility, antennas / RCS, high-speed interconnect SI / EMI / PI / eye diagrams, mobile phones, nuclear magnetic resonance, vacuum tubes, particle accelerators, high-power microwaves, nonlinear optics, electrical, field-circuit, electromagnetic-temperature, and temperature-deformation. This enables accurate calculation of Pareto-optimal solution sets.

[0095] In the embodiments of this application, Figure 7 As shown, after determining the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm, the following is further included:

[0096] Step 701: reversely select the final optimized design parameters of the target object from the Pareto optimal solution set.

[0097] Step 702: Determine the coating position and coating area of ​​the absorbing material according to the final optimized design parameters of the target object.

[0098] In practical applications, combined with Figure 8 As shown, the Pareto optimal solution set is not the only solution, but the optimal set that satisfies the constraints. All the solutions in the outermost circle are Pareto optimal solutions that satisfy the constraints RCS value ≤ 70m 2 , and the RCS value and the area of ​​the coating area both meet the requirements of the non-inferior solution. According to the diagram, the optimal design parameters are finally selected in reverse:

[0099] α v1 =0.91,α v1 =0.82, ..., α v72 =0.89;

[0100] α H1 =0.93,α H1 =0.87, ..., α H72 =0.86;

[0101] Finally, combined Figure 9 As shown in the black area at the middle of the ship, by selecting one of the Pareto optimal solutions, the coating location and coating area of ​​the absorbing material are determined to be 3% of the total area, and the RCS value is 68m 2 .

[0102] This application is based on a multi-objective optimization algorithm and adopts a multi-objective mature optimization method to solve the multi-objective optimization problem. The optimization targets are the coating area and RCS value of the absorbing material, which is achieved by coating the absorbing material in a certain area.

[0103] In this application, 144 hotspot maps after optimizing the design variables for VV polarization and HH polarization were used to establish the induced relationship between the threshold and the coverage area. The optimization design was carried out in conjunction with Isight and CST software, and the hotspot threshold was proposed as the basis for coating the absorbing material.

[0104] Combine Figure 10 As shown, the present application provides a device for determining an absorbing material coating area, comprising:

[0105] The first polarization module 1001 is configured to use VV polarization to perform i radar wave incident simulations to obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1;

[0106] The second polarization module 1002 is configured to use HH polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object. Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1;

[0107] The multi-objective optimization module 1003 is configured to optimize the RCS value of the target object according to the constraints of the RCS value, the optimization goal of minimizing the coating area, the first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), and determine the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm.

[0108] Optionally, the first polarization module 1001 is specifically configured as follows:

[0109] Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n is equal to 360° / i;

[0110] At each incident angle, a vertical radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. vi ;

[0111] According to the i hot spot simulation graph P vi , establish the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ).

[0112] Optionally, the second polarization module 1002 is specifically configured to:

[0113] Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n is equal to 360° / i;

[0114] At each incident angle, a horizontal radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. Hi ;

[0115] According to the i hot spot simulation graph P Hi , establish the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The first mapping function S Hi =h i (α Hi ).

[0116] Optionally, the multi-objective optimization module 1003 is specifically configured to:

[0117] Use Isight to optimize the design function and embed the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi );

[0118] Based on the constraints on the RCS value of the target object and the optimization goal of minimizing the coating area, the CST software is used to calculate the RCS value, hot spot threshold and coating area of ​​the absorber material of the target object;

[0119] A closed loop is formed with the Isight optimization design function, and joint simulation calculations are performed through the Isight optimization design function and CST software. The Pareto optimal solution set is calculated through the multi-island genetic algorithm in the Isight optimization design function.

[0120] Optionally, the multi-objective optimization module 1003 is further configured to:

[0121] Reversely selecting the final optimized design parameters of the target object from the Pareto optimal solution set;

[0122] The coating position and coating area of ​​the absorbing material are determined according to the final optimized design parameters of the target object.

[0123] This application obtains the mapping relationship between the hotspot threshold of the target object and the coating area of ​​the absorbing material, and then performs a multi-objective optimization operation based on the constraints on the target object's RCS value and the optimization goal of minimizing the coating area to obtain the Pareto optimal solution set of the RCS value and the coating area. This can balance the RCS control effect and the economic efficiency of the absorbing material. While minimizing the RCS value of the target object, the minimum amount of absorbing material coating is used, achieving the multi-objective optimal effect of optimal RCS control and minimum absorbing material usage.

[0124] Combine Figure 11 As shown, the present application provides a computing device comprising a processor 110 and a memory 111. Optionally, the device may further comprise a communication interface 112 and a bus 113. The processor 110, the communication interface 112, and the memory 111 may communicate with each other via the bus 113. The communication interface 112 may be used for information transmission. The processor 110 may invoke logic instructions in the memory 111 to execute the method for determining the absorbing material coating area described in the above embodiment.

[0125] In addition, the logic instructions in the memory 111 can be implemented in the form of software functional units and can be stored in a computer-readable storage medium when sold or used as an independent product.

[0126] Memory 111, as a computer-readable storage medium, can be used to store software programs and computer-executable programs, such as the program instructions / modules corresponding to the methods in the embodiments of the present disclosure. Processor 110 executes the program instructions / modules stored in memory 111 to perform functional applications and data processing, thereby implementing the method for determining the absorbing material coating area in the above-described embodiments.

[0127] The memory 111 may include a program storage area and a data storage area. The program storage area may store an operating system and application programs required for at least one function; the data storage area may store data generated based on the use of the terminal device. Furthermore, the memory 111 may include high-speed random access memory and non-volatile memory.

[0128] The present application provides a storage medium storing computer-executable instructions, wherein the computer-executable instructions are configured to execute the above-mentioned method for determining the coating area of ​​the absorbing material.

[0129] The aforementioned storage medium may be a transient computer-readable storage medium or a non-transitory computer-readable storage medium.

[0130] The technical solution of the embodiments of the present disclosure may be embodied in the form of a software product, which is stored in a storage medium and includes one or more instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the method described in the embodiments of the present disclosure. The aforementioned storage medium may be a non-transitory storage medium, including: a USB flash drive, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk, and other media that can store program code, or a transient storage medium.

[0131] The above description and the accompanying drawings fully illustrate the embodiments of the present disclosure so that those skilled in the art can practice them. Other embodiments may include structural, logical, electrical, process and other changes. The embodiments represent only possible variations. Unless explicitly required, individual components and functions are optional, and the order of operations may vary. Parts and features of some embodiments may be included in or replace parts and features of other embodiments. Moreover, the words used in this application are only used to describe the embodiments and are not used to limit the claims. As used in the description of the embodiments and claims, unless the context clearly indicates otherwise, the singular forms "a", "an" and "the" are intended to also include plural forms. Similarly, the term "and / or" as used in this application refers to any and all possible combinations of one or more associated listings. In addition, when used in this application, the term "comprise" and its variations "comprises" and / or comprising refer to the presence of stated features, wholes, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, wholes, steps, operations, elements, components and / or groups of these. In the absence of further restrictions, an element defined by the sentence "comprising a..." does not exclude the presence of other identical elements in the process, method or device that includes the element. In this article, each embodiment may focus on the differences from other embodiments, and the same and similar parts between the various embodiments can be referenced to each other. For the methods, products, etc. disclosed in the embodiments, if they correspond to the method part disclosed in the embodiments, then the relevant parts can be found in the description of the method part.

[0132] Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software may depend on the specific application and design constraints of the technical solution. The technicians may use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of the embodiments of the present disclosure. The technicians will clearly understand that, for the convenience and brevity of description, the specific working processes of the systems, devices and units described above can refer to the corresponding processes in the aforementioned method embodiments and will not be repeated here.

[0133] In the embodiments disclosed herein, the disclosed methods and products (including but not limited to devices, equipment, etc.) can be implemented in other ways. For example, the device embodiments described above are merely illustrative. For example, the division of the units can be merely a logical functional division. In actual implementation, there may be other division methods, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. In addition, the coupling or direct coupling or communication connection between each other shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, and can be electrical, mechanical or other forms. The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the units may be selected to implement this embodiment according to actual needs. In addition, the functional units in the embodiments of the present disclosure may be integrated into a processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit.

[0134] The flowcharts and block diagrams in the accompanying drawings show the possible implementation architectures, functions and operations of the systems, methods and computer program products according to the embodiments of the present disclosure. In this regard, each box in the flowchart or block diagram can represent a module, program segment or part of the code, and the module, program segment or part of the code contains one or more executable instructions for implementing the specified logical functions. In some alternative implementations, the functions marked in the box can also occur in an order different from that marked in the accompanying drawings. For example, two consecutive boxes can actually be executed substantially in parallel, or they can sometimes be executed in the opposite order, which can depend on the functions involved. In the descriptions corresponding to the flowcharts and block diagrams in the accompanying drawings, the operations or steps corresponding to different boxes can also occur in an order different from that disclosed in the description, and sometimes there is no specific order between different operations or steps. For example, two consecutive operations or steps can actually be executed substantially in parallel, or they can sometimes be executed in the opposite order, which can depend on the functions involved. Each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, may be implemented by a dedicated hardware-based system that performs the specified function or action, or may be implemented by a combination of dedicated hardware and computer instructions.

Claims

1. A method for determining an absorbing material coating area, characterized in that: include: Use VV polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1; Use HH polarization to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1; According to the constraint conditions of the target object for the radar cross-sectional area RCS value, the optimization goal of minimizing the coating area, the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), determining the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm; The multi-objective optimization algorithm is used to determine the Pareto optimal solution set of the RCS value and the coating area, including: using the Isight optimization design function, embedding the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ); Based on the target object's RCS value constraints and the optimization goal of minimizing the coating area, CST software is used to calculate the target object's RCS value, hotspot threshold, and coating area of ​​the absorbing material; a closed loop is formed with the Isight optimization design function, and a joint simulation operation is performed through the Isight optimization design function and CST software. The Pareto optimal solution set is calculated using the multi-island genetic algorithm in the Isight optimization design function.

2. The determination method according to claim 1, characterized in that The VV polarization mode is used to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ),include: Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n° is equal to 360° / i; At each incident angle, a vertical radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. vi ; According to the i hot spot simulation graph P vi , establish the hotspot threshold α of the target object vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ).

3. The determination method according to claim 1, characterized in that The HH polarization method is used to simulate the i-th radar wave incident to obtain the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ),include: Starting from the horizontal plane with 0° as the initial incident direction, increase n° in sequence to determine i incident angles, where n° is equal to 360° / i; At each incident angle, a horizontal radar wave with a fixed wavelength is used to illuminate the target object, and the i hotspot simulation graphs P corresponding to the target object are obtained through CST simulation. Hi ; According to the i hot spot simulation graph P Hi , establish the hotspot threshold α of the target object Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ).

4. The determination method according to claim 2 or 3, characterized in that: The i is 72, the n° is 5°, and the frequency of the fixed band is 8 GHz.

5. The determination method according to claim 1, characterized in that: The constraints of the RCS value include: RCS value ≤ 70, 0 ≤ α vi ≤1 and 0≤α Hi ≤1.

6. The determination method according to claim 1, characterized in that: After determining the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm, the method further includes: Reversely selecting the final optimized design parameters of the target object from the Pareto optimal solution set; The coating position and coating area of ​​the absorbing material are determined according to the final optimized design parameters of the target object.

7. A device for determining an area coated with an absorbing material, characterized in that: include: The first polarization module is configured to use VV polarization to simulate the i-th radar wave incident and obtain the hotspot threshold α of the target object. vi The coating area S of the absorbing material vi The first mapping function S vi =f i (α vi ), where i is a positive integer greater than 1; The second polarization module is configured to use HH polarization to simulate the i-th radar wave incident and obtain the hotspot threshold α of the target object. Hi The coating area S of the absorbing material Hi The second mapping function S Hi =h i (α Hi ), where i is a positive integer greater than 1; The multi-objective optimization module is configured to optimize the RCS value of the target object according to the constraints of the RCS value, the optimization goal of minimizing the coating area, the first mapping function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ), determining the Pareto optimal solution set of the RCS value and the coating area through a multi-objective optimization algorithm; The multi-objective optimization algorithm is used to determine the Pareto optimal solution set of the RCS value and the coating area, including: using the Isight optimization design function, embedding the first mapping relationship function S vi =f i (α vi ) and the second mapping function S Hi =h i (α Hi ); Based on the target object's RCS value constraints and the optimization goal of minimizing the coating area, CST software is used to calculate the target object's RCS value, hotspot threshold, and coating area of ​​the absorbing material; a closed loop is formed with the Isight optimization design function, and a joint simulation operation is performed through the Isight optimization design function and CST software. The Pareto optimal solution set is calculated using the multi-island genetic algorithm in the Isight optimization design function.

8. A computing device comprising a processor and a memory storing program instructions, characterized in that: The processor is configured to execute the method for determining the absorbing material coating area according to any one of claims 1 to 6 when running the program instructions.

9. A storage medium storing program instructions, characterized in that: When the program instructions are executed, the method for determining the absorbing material coating area according to any one of claims 1 to 6 is executed.

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