CN116502524A - RCS reduction method for metal structure under broadband scanning - Google Patents
RCS reduction method for metal structure under broadband scanning Download PDFInfo
- Publication number
- CN116502524A CN116502524A CN202310411021.1A CN202310411021A CN116502524A CN 116502524 A CN116502524 A CN 116502524A CN 202310411021 A CN202310411021 A CN 202310411021A CN 116502524 A CN116502524 A CN 116502524A
- Authority
- CN
- China
- Prior art keywords
- metal structure
- loading
- singular value
- matrix
- under
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/27—Design optimisation, verification or simulation using machine learning, e.g. artificial intelligence, neural networks, support vector machines [SVM] or training a model
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/12—Computing arrangements based on biological models using genetic models
- G06N3/126—Evolutionary algorithms, e.g. genetic algorithms or genetic programming
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Software Systems (AREA)
- Health & Medical Sciences (AREA)
- Biophysics (AREA)
- Life Sciences & Earth Sciences (AREA)
- General Engineering & Computer Science (AREA)
- Evolutionary Computation (AREA)
- Data Mining & Analysis (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Bioinformatics & Cheminformatics (AREA)
- Bioinformatics & Computational Biology (AREA)
- Mathematical Analysis (AREA)
- Evolutionary Biology (AREA)
- Computational Mathematics (AREA)
- Artificial Intelligence (AREA)
- Computing Systems (AREA)
- Geometry (AREA)
- Computational Linguistics (AREA)
- General Health & Medical Sciences (AREA)
- Molecular Biology (AREA)
- Biomedical Technology (AREA)
- Genetics & Genomics (AREA)
- Physiology (AREA)
- Computer Hardware Design (AREA)
- Medical Informatics (AREA)
- Computer Vision & Pattern Recognition (AREA)
- Algebra (AREA)
- Databases & Information Systems (AREA)
- Investigating Or Analyzing Materials By The Use Of Electric Means (AREA)
- Geophysics And Detection Of Objects (AREA)
Abstract
本发明公开了一种宽频带扫描下金属结构的RCS减缩方法,包括以下步骤:S1.给定工作频带、入射平面波参数与金属结构几何模型:S2.在频带下选取离散频点建立金属结构的阻抗矩阵并组合,利用奇异值分解得到结构宽带下的辐射基向量以及奇异值;S3.基于奇异值的大小确定宽频带下结构起主要辐射的位置并设置为加载位置;S4.利用阻抗加载进行电流调控,通过矩量法以及GA遗传算法确定金属结构表面的阻抗加载值。本发明采用SVD分解得到结构在宽带下的辐射特性,找到最佳加载位置,通过阻抗加载的方式,对奇异值进行调控,并通过遗传算法对加载电阻进行优化,最终物理实现所需要的奇异值,进而调控电流并能够有效提升RCS减缩设计的效率。
The invention discloses a method for reducing the RCS of a metal structure under broadband scanning, comprising the following steps: S1. Given a working frequency band, incident plane wave parameters and a geometric model of the metal structure; S2. Selecting discrete frequency points under the frequency band to establish a metal structure Impedance matrices are combined, and the radiation basis vector and singular value under the structure broadband are obtained by using singular value decomposition; S3. Based on the size of the singular value, determine the position of the main radiation of the structure under the broadband and set it as the loading position; S4. Use impedance loading to carry out For current regulation, the impedance loading value on the surface of the metal structure is determined by the method of moments and GA genetic algorithm. The invention uses SVD decomposition to obtain the radiation characteristics of the structure under broadband, finds the best loading position, regulates the singular value through impedance loading, and optimizes the loading resistance through a genetic algorithm, and finally physically realizes the required singular value , thereby regulating the current and effectively improving the efficiency of the RCS reduction design.
Description
技术领域technical field
本发明涉及金属结构的RCS减缩,特别是涉及一种宽带扫描下金属结构的RCS减缩方法。The invention relates to RCS reduction and reduction of metal structures, in particular to a method for RCS reduction and reduction of metal structures under broadband scanning.
背景技术Background technique
对于飞行器而言,提升隐身能力就是减少雷达散射截面(Radar Cross Section,RCS)。RCS是衡量物体散射强度、描述物体隐身性能的主要参数,物体的RCS越小,其在电磁环境下的隐身性能就越好。For aircraft, improving the stealth capability is to reduce the radar cross section (Radar Cross Section, RCS). RCS is the main parameter to measure the scattering intensity of an object and describe the stealth performance of an object. The smaller the RCS of an object, the better its stealth performance in an electromagnetic environment.
实现飞行器RCS降低的难点之一是对安装在飞行器上的天线实现RCS降低。首先,随着军事科技与通信技术的发展,飞行器上安装了各种各样的天线,使得飞行器上天线数量众多,因此要实现飞行器上天线的隐身变得困难。其次,由于天线的特殊性,天线不能像飞行器上外壳等其他非信号发射接收装置一样可以在外壳上涂电磁波吸附材料等隐身材料来实现自身的隐身。而且,天线还必须裸露在金属外壳外面工作。也不能像机身采用更改外形的方式来实现天线的隐身,因为更改天线形状必定带来天线性能的改变。One of the difficulties in realizing the RCS reduction of the aircraft is to realize the RCS reduction of the antenna installed on the aircraft. First of all, with the development of military science and technology and communication technology, various antennas are installed on the aircraft, which makes the number of antennas on the aircraft large, so it becomes difficult to realize the stealth of the antennas on the aircraft. Secondly, due to the particularity of the antenna, the antenna cannot realize its own invisibility by coating the outer shell with stealth materials such as electromagnetic wave absorbing materials like other non-signal transmitting and receiving devices such as the upper shell of the aircraft. Moreover, the antenna must be exposed to work outside the metal casing. It is also impossible to change the shape of the fuselage to achieve the stealth of the antenna, because changing the shape of the antenna will definitely bring about changes in the performance of the antenna.
所以实现飞行器上天线的隐身变得更加困难。此外,雷达种类多且工作频率分布广泛,因此对于飞行器的天线而言还需要考虑宽频带扫描下的RCS缩减而非单一频点下的设计。Therefore, it becomes more difficult to realize the stealth of the antenna on the aircraft. In addition, there are many types of radars and their operating frequencies are widely distributed. Therefore, for aircraft antennas, it is also necessary to consider the RCS reduction under broadband scanning rather than the design under a single frequency point.
发明内容Contents of the invention
本发明的目的在于克服现有技术的不足,提供一种宽带扫描下金属结构的RCS减缩方法,物理实现理想的宽带阻抗矩阵奇异值从而改变金属结构表面电流,进而能够有效提升RCS减缩设计的效率。The purpose of the present invention is to overcome the deficiencies of the prior art and provide a method for RCS reduction of metal structures under broadband scanning, which can physically realize the ideal singular value of the broadband impedance matrix to change the surface current of the metal structure, thereby effectively improving the efficiency of RCS reduction design .
本发明的目的是通过以下技术方案来实现的:一种宽带扫描下金属结构的RCS减缩方法,包括以下步骤:The purpose of the present invention is achieved by the following technical solutions: a method for reducing the RCS of a metal structure under broadband scanning, comprising the following steps:
S1.给定工作频带、入射平面波参数与金属结构几何模型:S1. Given the working frequency band, the incident plane wave parameters and the geometric model of the metal structure:
所述工作频带包括频带起始频率与截止频率,入射平面波参数包括入射角以及电场极化角度;The working frequency band includes a frequency band starting frequency and a cutoff frequency, and incident plane wave parameters include an incident angle and an electric field polarization angle;
S2.在频带下选取离散频点建立金属结构的阻抗矩阵并组合,利用奇异值分解(Singular Value Decomposition,SVD)得到结构宽带下的辐射基向量以及奇异值;S2. Select discrete frequency points under the frequency band to establish the impedance matrix of the metal structure and combine them, and use Singular Value Decomposition (SVD) to obtain the radiation basis vector and singular value under the wide band of the structure;
S201.首先利用三角面元对金属结构表面进行剖分,剖分供得到N个三角形单元,每一个三角形单元的表面电流均采用一个基函数表示,其中第n个三角形单元对应的RWG基函数为fn(x);S201. First, use triangular surface elements to subdivide the surface of the metal structure. The subdivision provides N triangular units, and the surface current of each triangular unit is represented by a basis function, wherein the RWG basis function corresponding to the nth triangular unit is f n (x);
将金属结构表面的电流分布用RWG基函数的加权和表示为The current distribution on the surface of the metal structure is expressed by the weighted sum of the RWG basis functions as
其中αn为RWG基函数fn(x)的加权系数;where α n is the weighting coefficient of the RWG basis function f n (x);
对工作频带进行采样得到f1,f2,…,fm共m个频点,在每个频点分别对金属结构建立电场积分方程并离散得到阻抗矩阵 Sampling the working frequency band to obtain f 1 , f 2 ,...,f m frequency points in total, and establishing an electric field integral equation for the metal structure at each frequency point and discretizing it to obtain the impedance matrix
电场积分方程为其中Es为散射场,G为格林函数;dS′为金属结构表面上的矢量面元;ω为工作角频率,μ为自由空间磁导率,为常数;The electric field integral equation is Where E s is the scattering field, G is the Green's function; dS' is the vector surface element on the surface of the metal structure; ω is the operating angular frequency, μ is the free space magnetic permeability, which is a constant;
根据金属表面的电场边界条件得其中Ei为平面波的入射场;According to the electric field boundary condition on the metal surface, where E i is the incident field of the plane wave;
将基函数的加权和形式的电流分布代入通过矩量法得到m个频点下的矩阵方程;Substituting the current distribution in the form of a weighted sum of basis functions into Obtain the matrix equation under m frequency points by the method of moments;
......
其中,为结构在fi频点处的N维阻抗矩阵,/>为在fi频点处的N维电流系数向量,/>为在fi频点处的N维激励向量,i=1,2,…,m;in, is the N-dimensional impedance matrix of the structure at f i frequency point, /> is the N-dimensional current coefficient vector at f i frequency point, /> is the N-dimensional excitation vector at the f i frequency point, i=1,2,...,m;
S202.对m个频点下的矩阵方程进行组装,利用不同频点下的正交关系得到包含频带信息的矩阵方程:S202. Assemble the matrix equations under m frequency points, and use the orthogonal relationship under different frequency points to obtain a matrix equation containing frequency band information:
将组装后的阻抗矩阵记为[Z]f并进行奇异值分解得到金属结构关于频率的辐射信息矩阵U,Σ和V,Denote the assembled impedance matrix as [Z] f and perform singular value decomposition to obtain the radiation information matrix U, Σ and V of the metal structure with respect to frequency,
U=[u1,u2,...,umN],Σ=diag(σ1,σ2,...,σN),V=[v1,v2,...,vN]U=[u 1 ,u 2 ,...,u mN ], Σ=diag(σ 1 ,σ 2 ,...,σ N ), V=[v 1 ,v 2 ,...,v N ]
U和V为幺正矩阵,Σ为对角矩阵,对角元素为[Z]f的奇异值。U and V are unitary matrices, Σ is a diagonal matrix, and the diagonal elements are the singular values of [Z] f .
S3.于奇异值的大小确定宽频带下结构起主要辐射的位置并设置为加载位置;S3. Determine the position of the main radiation of the structure under the broadband based on the size of the singular value and set it as the loading position;
通过SVD分解可以得到宽带扫描下的电流与激励向量的关系,The relationship between the current and the excitation vector under broadband scanning can be obtained by SVD decomposition,
宽带下电流可以通过调控奇异值来实现,从而调控结构整体RCS的大小;The current under broadband can be realized by adjusting the singular value, thereby adjusting the size of the overall RCS of the structure;
Σ的对角元素按照奇异值的大小排序,其位置坐标同基函数的编号一一对应,奇异值的大小代表了该基函数对于辐射的贡献,一般而言仅有少数有限个奇异值的满足辐射条件,在这里选取前p个(前5%个)最大奇异值对应的基函数作为加载位置进行电流调控,加载位置记为l1,l2,...,lp;The diagonal elements of Σ are sorted according to the size of the singular value, and its position coordinates correspond to the number of the basis function one by one. The size of the singular value represents the contribution of the basis function to radiation. Generally speaking, only a few finite singular values satisfy Radiation conditions, where the basis functions corresponding to the first p (first 5%) largest singular values are selected as the loading position for current regulation, and the loading position is recorded as l 1 , l 2 ,...,l p ;
S302.利用电阻加载的方式实现直杆型金属结构表面的电流调控;S302. Using resistance loading to realize current regulation on the surface of the straight-rod metal structure;
金属结构表面电流被离散成了N个基函数,对SVD分解得到的加载位置进行电阻加载,加载矩阵表示为[RL]=diag(R1,R2,...,Rp,0,...,0);电阻加载能够实现调控效果,即改变金属结构表面的电流分布。The surface current of the metal structure is discretized into N basis functions, and the loading position obtained by SVD decomposition is loaded with resistance, and the loading matrix is expressed as [R L ]=diag(R 1 ,R 2 ,...,R p ,0, ...,0); resistive loading can achieve a regulation effect, that is, changing the current distribution on the surface of the metal structure.
S4.利用阻抗加载进行电流调控,通过矩量法以及GA遗传算法确定金属结构表面的阻抗加载值;S4. Use impedance loading to regulate current, and determine the impedance loading value on the surface of the metal structure through the method of moments and GA genetic algorithm;
根据矩量方程,阻抗加载后会对S2 02中的阻抗矩阵进行调控;对加载后的矩阵进行SVD分解,可以得到加载后的奇异值矩阵,加载的最终目的是减小宽带阻抗矩阵[Z]f的奇异值,从而降低电流的辐射;According to the moment equation, the impedance matrix in S202 will be regulated after the impedance is loaded; the loaded matrix can be decomposed by SVD, and the loaded singular value matrix can be obtained. The ultimate purpose of loading is to reduce the broadband impedance matrix [Z] The singular value of f , thereby reducing the radiation of the current;
确定优化的目标函数,即Fobj=Σ=SVD([Zf+RL]),优化的变量为[RL],为了使奇异值减小,优化变量[RL]需要使目标函数的二范数||Fobj||2足够小,理想状态下||Fobj||2接近0,GA遗传算法将自动收敛于目标函数Fobj=Σ=SVD([Zf+RL])二范数||Fobj||2的局部最小值,此时认为优化完成,并和输出此时的优化变量[RL];Determine the optimized objective function, that is, F obj =Σ=SVD([Z f +R L ]), the optimized variable is [R L ], in order to reduce the singular value, the optimized variable [R L ] needs to make the objective function The two-norm ||F obj || 2 is small enough, ideally ||F obj || 2 is close to 0, and the GA genetic algorithm will automatically converge to the objective function F obj =Σ=SVD([Z f +R L ]) The local minimum value of the two-norm ||F obj || 2 , at this time, it is considered that the optimization is completed, and the optimized variable at this time [R L ] is output;
在金属结构上,按照[RL]进行电阻加载,实现逼近于理想状态的宽带阻抗矩阵奇异值特性,从而实现RCS减缩。On the metal structure, the resistance loading is carried out according to [ RL ] to realize the singular value characteristics of the broadband impedance matrix close to the ideal state, thereby realizing RCS reduction.
本发明的有益效果是:本发明采用SVD分解得到结构在宽带下的辐射特性,找到最佳加载位置,通过阻抗加载的方式,对奇异值进行调控,并通过遗传算法对加载电阻进行优化,最终物理实现所需要的奇异值,进而调控电流并能够有效提升RCS减缩设计的效率。The beneficial effect of the present invention is: the present invention uses SVD decomposition to obtain the radiation characteristics of the structure under broadband, finds the best loading position, regulates the singular value through impedance loading, and optimizes the loading resistance through genetic algorithm, finally Physically realize the required singular value, thereby regulating the current and effectively improving the efficiency of the RCS reduction design.
附图说明Description of drawings
图1为本发明的方法流程图;Fig. 1 is method flowchart of the present invention;
具体实施方式Detailed ways
下面结合附图进一步详细描述本发明的技术方案,但本发明的保护范围不局限于以下所述。The technical solution of the present invention will be further described in detail below in conjunction with the accompanying drawings, but the protection scope of the present invention is not limited to the following description.
如图1所示,一种宽带扫描下金属结构的RCS减缩方法,包括以下步骤:As shown in Figure 1, an RCS reduction method for metal structures under broadband scanning includes the following steps:
S1.给定工作频带、入射平面波参数与金属结构几何模型:S1. Given the working frequency band, the incident plane wave parameters and the geometric model of the metal structure:
在本申请的实施例中,扫描频带为300MHz~3GHz,所述的入射平面波的入射角度为θ=150°。所述的金属结构为一个长度为4m的直杆金属,对其进行剖分可以得到480段线段,离散表面电流的未知数共479个。In the embodiment of the present application, the scanning frequency band is 300 MHz-3 GHz, and the incident angle of the incident plane wave is θ=150°. The metal structure is a straight bar metal with a length of 4m, and 480 line segments can be obtained by dissecting it, and there are 479 unknowns of discrete surface currents in total.
S2.在频带下选取离散频点建立金属结构的阻抗矩阵并组合,利用奇异值分解(Singular Value Decomposition,SVD)得到结构宽带下的辐射基向量以及奇异值;S2. Select discrete frequency points under the frequency band to establish the impedance matrix of the metal structure and combine them, and use Singular Value Decomposition (SVD) to obtain the radiation basis vector and singular value under the wide band of the structure;
在频带内部均匀的选取f1,f2,…,f20共20个频点,其中f1=300MHz而f20=3GHz。在每个频点分别建立479阶的阻抗矩阵通过组装可以得到包含频谱信息的矩阵[Z]f,该矩阵共有479*20行以及479列。对矩阵[Z]f进行SVD分解可以得到,A total of 20 frequency points f 1 , f 2 , . Establish a 479-order impedance matrix at each frequency point A matrix [Z] f containing spectrum information can be obtained by assembling, and the matrix has 479*20 rows and 479 columns. SVD decomposition of the matrix [Z] f can be obtained,
U=[u1,u2,...,umN],Σ=diag(σ1,σ2,...,σN),V=[v1,v2,...,vN]U=[u 1 ,u 2 ,...,u mN ], Σ=diag(σ 1 ,σ 2 ,...,σ N ), V=[v 1 ,v 2 ,...,v N ]
U为479*20阶幺正矩阵,V为479阶幺正矩阵,Σ是维度与[Z]f相同的对角矩阵且对角元素为[Z]f的奇异值。U is a unitary matrix of order 479*20, V is a unitary matrix of order 479, Σ is a diagonal matrix with the same dimension as [Z] f and the diagonal elements are singular values of [Z] f .
S3.于奇异值的大小确定宽频带下结构起主要辐射的位置并设置为加载位置;S3. Determine the position of the main radiation of the structure under the broadband based on the size of the singular value and set it as the loading position;
通过SVD分解可以得到宽带扫描下的电流与激励向量的关系,The relationship between the current and the excitation vector under broadband scanning can be obtained by SVD decomposition,
Σ的对角元素按照奇异值的大小排序,其位置坐标同基函数的编号一一对应,奇异值的大小代表了该基函数对于辐射的贡献,在这里选取前20个最大奇异值σ1,σ2,...,σ...20对应的基函数作为加载位置进行电流调控。加载矩阵表示为479阶方阵[RL]=diag(R1,R2,...,R20,0,...,0);电阻加载能够实现调控效果,即改变金属结构表面的电流分布。The diagonal elements of Σ are sorted according to the size of the singular value, and its position coordinates correspond to the number of the basis function one by one. The size of the singular value represents the contribution of the basis function to radiation. Here, the top 20 largest singular values σ 1 are selected, The basis functions corresponding to σ 2 ,...,σ... 20 are used as the loading position for current regulation. The loading matrix is expressed as a 479-order square matrix [R L ]=diag(R 1 ,R 2 ,...,R 20 ,0,...,0); resistance loading can realize the control effect, that is, change the surface of the metal structure current distribution.
S4.利用阻抗加载进行电流调控,通过矩量法以及GA遗传算法确定金属结构表面的阻抗加载值。S4. Use impedance loading to regulate current, and determine the impedance loading value on the surface of the metal structure through the method of moments and GA genetic algorithm.
在所述步骤S4中,通过在直杆型金属结构表面进行阻抗加载的方式可以改变宽带阻抗矩阵[Z]f的奇异值,并结合矩量法与GA遗传算法对阻抗加载值进行优化。对加载后的宽带阻抗矩阵进行SVD分解,将奇异值作为优化变量而前20个奇异值的范数作为目标函数带入GA遗传算法,即Fobj=Σ=SVD([Zf+RL]),GA遗传算法可自动完成优化过程,并输出优化后的加载矩阵[RL]。所述的优化后加载值可以降低宽带阻抗矩阵的奇异值大小,从而降低金属结构表面电流的辐射影响,能够达到出色的RCS减缩效果。In the step S4, the singular value of the broadband impedance matrix [Z] f can be changed by carrying out impedance loading on the surface of the straight-rod metal structure, and the impedance loading value is optimized by combining the method of moments and GA genetic algorithm. SVD decomposition is performed on the loaded broadband impedance matrix, and the singular value is used as the optimization variable and the norm of the first 20 singular values is used as the objective function and brought into the GA genetic algorithm, that is, F obj =Σ=SVD([Z f +R L ] ), the GA genetic algorithm can automatically complete the optimization process and output the optimized loading matrix [R L ]. The optimized loading value can reduce the singular value of the broadband impedance matrix, thereby reducing the radiation influence of the surface current of the metal structure, and can achieve an excellent RCS reduction effect.
上述说明示出并描述了本发明的一个优选实施例,但如前所述,应当理解本发明并非局限于本文所披露的形式,不应看作是对其他实施例的排除,而可用于各种其他组合、修改和环境,并能够在本文所述发明构想范围内,通过上述教导或相关领域的技术或知识进行改动。而本领域人员所进行的改动和变化不脱离本发明的精神和范围,则都应在本发明所附权利要求的保护范围内。The above description shows and describes a preferred embodiment of the present invention, but as mentioned above, it should be understood that the present invention is not limited to the form disclosed herein, and should not be regarded as excluding other embodiments, but can be used in various Various other combinations, modifications, and environments can be made within the scope of the inventive concept described herein, by the above teachings or by skill or knowledge in the relevant field. However, changes and changes made by those skilled in the art do not depart from the spirit and scope of the present invention, and should all be within the protection scope of the appended claims of the present invention.
Claims (4)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202310411021.1A CN116502524B (en) | 2023-04-18 | 2023-04-18 | A RCS reduction method for metal structures under broadband scanning |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202310411021.1A CN116502524B (en) | 2023-04-18 | 2023-04-18 | A RCS reduction method for metal structures under broadband scanning |
Publications (2)
Publication Number | Publication Date |
---|---|
CN116502524A true CN116502524A (en) | 2023-07-28 |
CN116502524B CN116502524B (en) | 2024-01-30 |
Family
ID=87322361
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202310411021.1A Active CN116502524B (en) | 2023-04-18 | 2023-04-18 | A RCS reduction method for metal structures under broadband scanning |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN116502524B (en) |
Citations (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103246781A (en) * | 2013-05-17 | 2013-08-14 | 南京理工大学 | Array antenna radar cross section reduction method based on space mapping |
CN104038295A (en) * | 2014-06-06 | 2014-09-10 | 西安电子科技大学 | Deformed array antenna scattering performance analyzing method based on electromechanical coupling |
CN105786765A (en) * | 2016-02-25 | 2016-07-20 | 南京航空航天大学 | Method for generating incentive irrelevant characteristic basis function rapidly in self-adaption mode |
CN105808796A (en) * | 2014-12-29 | 2016-07-27 | 南京理工大学 | PIN diode reconfigurable antenna performance evaluation method under action of high power electromagnetic pulse |
CN106066941A (en) * | 2016-06-08 | 2016-11-02 | 南京航空航天大学 | A kind of electromagnetic scattering rapid analysis method based on CBFM and SMW algorithm |
CN107086369A (en) * | 2017-04-27 | 2017-08-22 | 电子科技大学 | A Low RCS Wide Bandwidth Angular Scanning Phased Array Antenna Based on Strong Mutual Coupling Effect |
CN107145732A (en) * | 2017-05-03 | 2017-09-08 | 安徽理工大学 | A Method Based on Improved CBFM to Quickly Solve Electromagnetic Scattering Characteristics of Target Single Station |
CN107315846A (en) * | 2016-08-29 | 2017-11-03 | 南京航空航天大学 | A kind of algorithm of quick analysis WB-RCS |
CN113567943A (en) * | 2021-07-13 | 2021-10-29 | 西安电子科技大学 | Method for obtaining carrier platform broadband RCS based on SAIM and CAT |
CN114741646A (en) * | 2022-03-04 | 2022-07-12 | 宿州学院 | Method for rapidly solving wide-angle electromagnetic scattering characteristics of conductor target |
CN114755652A (en) * | 2022-04-11 | 2022-07-15 | 西安电子科技大学 | Method for acquiring electrically large-size target broadband RCS (radar cross section) based on ACA (advanced communication architecture) and CAT (CAT) |
CN115906657A (en) * | 2022-12-19 | 2023-04-04 | 北京航空航天大学 | RCS (radar cross section) reduction method for straight rod type metal structure |
-
2023
- 2023-04-18 CN CN202310411021.1A patent/CN116502524B/en active Active
Patent Citations (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103246781A (en) * | 2013-05-17 | 2013-08-14 | 南京理工大学 | Array antenna radar cross section reduction method based on space mapping |
CN104038295A (en) * | 2014-06-06 | 2014-09-10 | 西安电子科技大学 | Deformed array antenna scattering performance analyzing method based on electromechanical coupling |
CN105808796A (en) * | 2014-12-29 | 2016-07-27 | 南京理工大学 | PIN diode reconfigurable antenna performance evaluation method under action of high power electromagnetic pulse |
CN105786765A (en) * | 2016-02-25 | 2016-07-20 | 南京航空航天大学 | Method for generating incentive irrelevant characteristic basis function rapidly in self-adaption mode |
CN106066941A (en) * | 2016-06-08 | 2016-11-02 | 南京航空航天大学 | A kind of electromagnetic scattering rapid analysis method based on CBFM and SMW algorithm |
CN107315846A (en) * | 2016-08-29 | 2017-11-03 | 南京航空航天大学 | A kind of algorithm of quick analysis WB-RCS |
CN107086369A (en) * | 2017-04-27 | 2017-08-22 | 电子科技大学 | A Low RCS Wide Bandwidth Angular Scanning Phased Array Antenna Based on Strong Mutual Coupling Effect |
CN107145732A (en) * | 2017-05-03 | 2017-09-08 | 安徽理工大学 | A Method Based on Improved CBFM to Quickly Solve Electromagnetic Scattering Characteristics of Target Single Station |
CN113567943A (en) * | 2021-07-13 | 2021-10-29 | 西安电子科技大学 | Method for obtaining carrier platform broadband RCS based on SAIM and CAT |
CN114741646A (en) * | 2022-03-04 | 2022-07-12 | 宿州学院 | Method for rapidly solving wide-angle electromagnetic scattering characteristics of conductor target |
CN114755652A (en) * | 2022-04-11 | 2022-07-15 | 西安电子科技大学 | Method for acquiring electrically large-size target broadband RCS (radar cross section) based on ACA (advanced communication architecture) and CAT (CAT) |
CN115906657A (en) * | 2022-12-19 | 2023-04-04 | 北京航空航天大学 | RCS (radar cross section) reduction method for straight rod type metal structure |
Non-Patent Citations (5)
Title |
---|
MIN ZHU ET AL.: "VSIE Method with Genetic Algorithm for Optimizing RCS Reduction From Composite Targets", 《2020 9TH ASIA-PACIFIC CONFERENCE ON ANTENNAS AND PROPAGATION (APCAP)》, pages 1 - 2 * |
WEN-YAN NIE ET AL.: "Efficient Computation of Wideband RCS Using Singular Value Decomposition Enhanced Improved Ultrawideband Characteristic Basis Function Method", 《INTERNATIONAL JOURNAL OF ANTENNAS AND PROPAGATION》, pages 2 - 4 * |
刘红星: "二维混合目标散射问题的快速计算及其RCS减缩", 《中国优秀博硕士学位论文全文数据库 (博士) 工程科技Ⅱ辑》, no. 1, pages 031 - 1 * |
朱敏: "混合目标电磁散射特性高效分析及其RCS缩减研究", 《中国优秀硕士学位论文全文数据库 基础科学辑》, no. 8, pages 005 - 143 * |
王仲根等: "应用改进的主要特征基函数快速计算目标宽角度RCS", 《电子与信息学报》, vol. 40, no. 3, pages 574 - 576 * |
Also Published As
Publication number | Publication date |
---|---|
CN116502524B (en) | 2024-01-30 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Shi et al. | Controllable sparse antenna array for adaptive beamforming | |
Al-Azza et al. | Spider monkey optimization: A novel technique for antenna optimization | |
CN108417999B (en) | Multimode phased array antenna and method for broadening its beam | |
Wang et al. | Antenna radiation characteristics optimization by a hybrid topological method | |
CN107404011A (en) | The airborne multiaerial system of low frequency and its design method of a kind of feature based theory of modules | |
Koziel et al. | Accelerated gradient-based optimization of antenna structures using multifidelity simulations and convergence-based model management scheme | |
Buttazzoni et al. | Density tapering of linear arrays radiating pencil beams: A new extremely fast Gaussian approach | |
Caratelli et al. | Deterministic constrained synthesis technique for conformal aperiodic linear antenna arrays—Part I: Theory | |
Rani et al. | Modified cuckoo search algorithm in weighted sum optimization for linear antenna array synthesis | |
Sallam et al. | Different array synthesis techniques for planar antenna array | |
CN116644615A (en) | Design method and device of array antenna | |
Lu et al. | Pattern synthesis of cylindrical conformal array by the modified particle swarm optimization algorithm | |
CN116451462A (en) | Design method for reducing RCS of array antenna based on characteristic mode theory | |
Wei et al. | Window function design for asymmetric beampattern synthesis and applications | |
CN116502524B (en) | A RCS reduction method for metal structures under broadband scanning | |
You et al. | Generalisation of genetic algorithm and fast Fourier transform for synthesising unequally spaced linear array shaped pattern including coupling effects | |
Tokgoz et al. | A UTD based asymptotic solution for the surface magnetic field on a source excited circular cylinder with an impedance boundary condition | |
Pfeiffer et al. | Virtual impedance method for mutual coupling compensation | |
Marrocco et al. | Naval structural antenna systems for broadband HF communications—Part II: Design methodology for real naval platforms | |
Jeripotula et al. | A novel sign variable step size LMS (SiVSS-LMS) algorithm for adaptive beamforming | |
Zhang et al. | Platform Characteristic Mode-Based Omnidirectional Antenna Design Using Convex Optimization | |
Khan et al. | Multi-objective optimization of an origami Yagi-Uda antenna using an adaptive fitness function | |
Mouhamadou et al. | Complex weight control of array pattern nulling | |
Zhao et al. | A hybrid algorithm for synthesizing linear sparse arrays | |
Tierney et al. | A compact, metamaterial beamformer designed through optimization |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |