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CN112151969A - In-band RCS Control Method for Strongly Coupled Broadband Phased Array Based on Generalized Scattering Matrix - Google Patents

In-band RCS Control Method for Strongly Coupled Broadband Phased Array Based on Generalized Scattering Matrix Download PDF

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CN112151969A
CN112151969A CN202011023319.8A CN202011023319A CN112151969A CN 112151969 A CN112151969 A CN 112151969A CN 202011023319 A CN202011023319 A CN 202011023319A CN 112151969 A CN112151969 A CN 112151969A
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杨仕文
张哲晨
杨锋
屈世伟
陈益凯
胡俊
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Abstract

The invention belongs to the technical field of antenna engineering and discloses an in-band RCS control method for a strong coupling broadband phased array. The method is mainly based on generalized scattering matrix to quickly predict the radiation and scattering characteristics of the strong coupling broadband phased array after different matching circuits are connected between each unit port of the strong coupling broadband phased array antenna and a feed network, the terminated matching circuits are used as optimization variables, meanwhile, the radiation performance and the scattering performance of the array are optimized, and finally, the reduction of the RCS in the band of the strong coupling broadband phased array antenna is realized on the premise that the radiation characteristics are kept good. The invention can accurately estimate the radiation and scattering characteristics of the strong coupling broadband phased array after terminating the matching circuit, considers the factors which have larger influence on the radiation and scattering characteristics in the limited large array, solves the problem of reducing the in-band RCS of the broadband phased array antenna when the coupling effect is intentionally enhanced between array elements, and can effectively control the in-band RCS in the strong coupling broadband phased array while keeping good radiation performance.

Description

基于广义散射矩阵的强耦合宽带相控阵带内RCS控制方法In-band RCS Control Method for Strongly Coupled Broadband Phased Array Based on Generalized Scattering Matrix

技术领域technical field

本发明属于天线工程技术领域,特别涉及一种用于强耦合宽带相控阵天线的带内RCS控制方法。The invention belongs to the technical field of antenna engineering, and in particular relates to an in-band RCS control method for a strongly coupled broadband phased array antenna.

背景技术Background technique

相控阵天线由于具有波束扫描速度快、跟踪精度高及抗干扰能力强等优点,是现代雷达系统的主要天线类型,也是新一代作战平台无线电子系统不可或缺的天线形式。随着现代作战平台高度集成化的要求,相控阵天线技术正朝着宽带化设计的方向发展,以适应集电子侦查、电子干扰、雷达探测、无线通信等多功能为一体的一体化电子系统。传统的宽带相控阵天线设计一般都是基于“先宽带单元再组阵”的思想,阵元间的耦合效应被视为不利因素,该设计方法在拓展相控阵天线的带宽效果上十分有限。近年来,国际天线研究领域提出了一种基于强耦合效应的宽带相控阵天线设计新概念技术。不同于传统的宽带天线阵设计思想,强耦合宽带相控阵在设计单元时将阵元间的耦合效应作为有利因素被故意加强了,使原来为离散分布的阵列形式变成类似于连续分布的“电流层”,且这种“电流层”各馈电节点处的输入阻抗特性随频率变缓,进而实现天线阵的宽带特性。Phased array antenna is the main antenna type of modern radar system due to its advantages of fast beam scanning speed, high tracking accuracy and strong anti-jamming ability. With the requirements of high integration of modern combat platforms, phased array antenna technology is developing in the direction of broadband design to adapt to the integrated electronic system integrating electronic reconnaissance, electronic interference, radar detection, wireless communication and other functions. . The traditional broadband phased array antenna design is generally based on the idea of "first broadband unit and then array", the coupling effect between the array elements is regarded as a disadvantage, this design method is very limited in expanding the bandwidth of the phased array antenna. . In recent years, a new concept technology of broadband phased array antenna design based on strong coupling effect has been proposed in the field of international antenna research. Different from the traditional design idea of broadband antenna array, the strong coupling broadband phased array takes the coupling effect between the array elements as a favorable factor and is deliberately strengthened when designing the unit, so that the original discrete distribution array becomes similar to the continuous distribution. "Current layer", and the input impedance characteristic at each feeding node of this "current layer" becomes slower with frequency, thereby realizing the broadband characteristic of the antenna array.

为同时应对现代作战载体平台(如飞机、导弹、舰艇等)高度隐身化的需求,相控阵天线作为隐身载体平台必不可少的部件,越来越要求其具备较低的RCS(radar crosssection,雷达散射截面)特性,以提升我方作战武器设备的生存能力。目前大多数关于天线RCS缩减的技术研究主要集中在单天线,主要通过采用1)改变天线形状;2)吸波材料;3)电磁超材料等方式实现天线的RCS缩减。少量文献研究了天线阵列的散射特性,但大多数仅局限于阵列单元散射特性的缩减,未从阵列综合的角度考虑散射特性。In order to meet the high stealth requirements of modern combat carrier platforms (such as aircraft, missiles, ships, etc.) at the same time, as an indispensable component of stealth carrier platforms, phased array antennas are increasingly required to have lower RCS (radar crosssection, Radar Cross Section) characteristics to improve the survivability of our combat weapons and equipment. At present, most of the technical research on antenna RCS reduction mainly focuses on single antenna, mainly by adopting 1) changing the antenna shape; 2) absorbing materials; 3) electromagnetic metamaterials and other methods to achieve the RCS reduction of the antenna. A few literatures have studied the scattering characteristics of antenna arrays, but most of them are limited to the reduction of the scattering characteristics of the array elements, and the scattering characteristics are not considered from the perspective of array synthesis.

在专利号为CN201610038643的专利中提出了一种通过阵元绕馈电点随机旋转的方法实现相控阵天线带内RCS缩减的方法,利用阵元随机旋转产生随机散射相位,使得不同阵元的散射场无法在一个主瓣区域内同相叠加,而是会分散到更广的角度域空间,从而降低阵列天线的RCS。同时,对于辐射情形,通过阵元激励的相位补偿仍可使不同阵元的辐射场在主瓣区域内实现同相叠加,从而基本不会导致阵列天线的辐射性能下降。但是该专利没有披露此方法仅适用于天线单元极化形式为圆极化的事实,否则阵元随机旋转必会改变各个阵元的极化状态,导致不同阵元叠加后阵列辐射性能产生恶化。此外,该设计方法仅考虑了在无限大阵列环境下的理想情况,未针对实际有限大阵列的散射特性进行综合设计。在专利号为CN201810738594的专利中提供了一种基于散射极化可重构的相控阵天线RCS缩减方法,相控阵天线的每个阵元包括三种不同的极化方式,在相控阵天线辐射时,所有阵元处于相同的极化方式,形成统一极化阵列,当相控阵天线辐射结束后,使各个阵元的极化方式随机分布,形成随机极化阵列,从而能够做到在不影响阵列天线的辐射性能的基础上,显著降低阵列天线辐射结束后的RCS。该方法将辐射与散射状态下阵列单元的极化状态分别独立开来设定,每个阵列单元都需要通过PIN二极管的开断进行控制,还需要额外增加控制阵元极化方式的外部控制处理器,加大了系统复杂度,另外,该设计方法在天线形式的选择以及宽带相控阵应用上也存在较大的局限性。为了对带内RCS进行控制,2011年,西安电子科技大学的王文涛博士在其博士论文“天线雷达散射截面分析与控制方法研究”中提出了一种关于对称振子阵列天线模式项RCS的减缩方法,但未考虑阵列的整体散射特性。In the patent with the patent number of CN201610038643, a method for reducing the in-band RCS of a phased array antenna is proposed by randomly rotating the array elements around the feeding point. The random rotation of the array elements is used to generate random scattering phases, so that the The scattered fields cannot be superimposed in phase in a main lobe area, but will be dispersed into a wider angular domain space, thereby reducing the RCS of the array antenna. At the same time, in the case of radiation, the phase compensation of the array element excitation can still achieve in-phase superposition of the radiation fields of different array elements in the main lobe area, so that the radiation performance of the array antenna will not be degraded. However, this patent does not disclose the fact that this method is only applicable to the fact that the polarization form of the antenna element is circular polarization, otherwise the random rotation of the array elements will definitely change the polarization state of each array element, resulting in the deterioration of the array radiation performance after the superposition of different array elements. In addition, this design method only considers the ideal situation in the infinite array environment, and does not comprehensively design the scattering characteristics of the actual finite array. In the patent No. CN201810738594, a reconfigurable phased array antenna RCS reduction method based on scattering polarization is provided. Each array element of the phased array antenna includes three different polarization modes. When the antenna radiates, all the array elements are in the same polarization mode to form a unified polarization array. After the phased array antenna radiation is completed, the polarization modes of each array element are randomly distributed to form a random polarization array, which can achieve On the basis of not affecting the radiation performance of the array antenna, the RCS after the end of the array antenna radiation is significantly reduced. In this method, the polarization states of the array elements in the radiation and scattering states are independently set. Each array element needs to be controlled by switching on and off the PIN diode, and additional external control processing to control the polarization mode of the array element is required. It increases the complexity of the system. In addition, this design method also has great limitations in the selection of antenna forms and the application of broadband phased arrays. In order to control the in-band RCS, in 2011, Dr. Wang Wentao from Xidian University in his doctoral dissertation "Research on the Analysis and Control Method of Antenna Radar Cross Section" proposed a method for reducing the RCS of the mode term of the symmetric oscillator array antenna. However, the overall scattering properties of the array are not considered.

不可否认的是,由于天线的辐射性能和低散射性能往往是一对难以调和的矛盾,这些技术手段难以用于宽带相控阵天线的RCS控制,现阶段关于宽带相控阵天线的RCS控制方法尚处于研究阶段,相关理论与技术也相对匮乏,如何在保证工作频带内相控阵天线的辐射性能基本不变的前提下实现带内RCS有效控制的研究报道极为有限。更一步地,考虑到传统宽带相控阵天线技术面临的挑战,基于强耦合效应的相控阵天线设计新技术在宽带特性上具有天然的优势,因此开展关于强耦合宽带相控阵天线的带内RCS控制研究更有助于推动新一代隐身载体平台宽带相控阵天线技术的发展。就现有已公开的针对强耦合宽带相控阵天线的带内RCS控制的技术手段来看,专利申请号分别为CN201810200308和CN201710288813的专利都采用了对强耦合宽带相控阵天线单元本身结构进行处理的方法,试图通过改善带内阻抗匹配特性来降低单元的天线模式项散射进而实现对阵列的带内RCS抑制的目的。由于这种方法仅仅着眼于天线单元层面的散射控制,并没有引入阵列综合的思想,因此不易应用于其它任何结构类型的阵列,通用性较差。It is undeniable that because the radiation performance and low scattering performance of the antenna are often a pair of contradictions that are difficult to reconcile, these technical means are difficult to be used for the RCS control of the broadband phased array antenna. At this stage, the RCS control method of the broadband phased array antenna is concerned. It is still in the research stage, and related theories and technologies are relatively lacking. The research reports on how to achieve effective in-band RCS control under the premise of ensuring that the radiation performance of the phased array antenna in the working frequency band is basically unchanged are extremely limited. Further, considering the challenges faced by traditional broadband phased array antenna technology, the new phased array antenna design technology based on strong coupling effect has natural advantages in broadband characteristics. The research on internal RCS control is more helpful to promote the development of a new generation of stealth carrier platform broadband phased array antenna technology. As far as the existing disclosed technical means for in-band RCS control of strongly coupled broadband phased array antennas are concerned, the patents with patent application numbers CN201810200308 and CN201710288813 both adopt the structure of the strongly coupled broadband phased array antenna unit itself. The processing method attempts to reduce the scattering of the antenna mode item of the unit by improving the in-band impedance matching characteristics, thereby achieving the purpose of suppressing the in-band RCS of the array. Because this method only focuses on the scattering control at the antenna unit level, and does not introduce the idea of array synthesis, it is not easy to apply to any other structural type of array, and the versatility is poor.

在有限大阵列中,无法保证每个单元实际所处的阵列环境完全相同,尤其是边缘单元以及中心单元差异较为明显。传统的相控阵一般采取额外的措施减弱单元间的耦合,尽量让每个单元的电磁环境相同。然而,以加强阵元间耦合效应为设计思想的强耦合宽带相控阵每个单元的电磁环境差异较大,无法避免地出现个别单元阻抗失配的情况,阵列的散射特性也可能因此恶化。此外,任意的有限大阵列由于其有限的尺寸引起的边缘的截断效应、激励的表面波以及不连续处电磁波的绕射等因素皆会对电磁辐射与散射特性造成影响。基于以上应用需求,本发明基于广义散射矩阵理论提出一种从阵列综合的角度实现强耦合宽带相控阵带内RCS缩减的方法,在天线的工作频带内实现了RCS的显著减缩,同时保证辐射特性基本未实现恶化。In a finite array, it is impossible to guarantee that the actual array environment of each unit is exactly the same, especially the difference between the edge unit and the center unit is obvious. Traditional phased arrays generally take additional measures to reduce the coupling between units, and try to make the electromagnetic environment of each unit the same. However, the electromagnetic environment of each element of a strongly coupled broadband phased array designed to enhance the coupling effect between array elements is quite different, and the impedance mismatch of individual elements cannot be avoided, and the scattering characteristics of the array may also deteriorate. In addition, due to the finite size of any finite array, the truncation effect of the edge, the excited surface wave and the diffraction of the electromagnetic wave at the discontinuity will all affect the electromagnetic radiation and scattering characteristics. Based on the above application requirements, the present invention proposes a method for reducing the in-band RCS of a strongly coupled broadband phased array from the perspective of array synthesis based on the generalized scattering matrix theory. The characteristics are basically not degraded.

发明内容SUMMARY OF THE INVENTION

鉴于上述背景,本发明的目的在于为克服现有技术的不足,提出一种用于强耦合宽带相控阵天线的带内RCS控制方法。由于强耦合宽带相控阵天线单元之间紧密排布,通过引入强耦合效应以在阵列表面形成均匀连续的电流分布,从而获得超宽带阻抗匹配特性。在这种情况下,强耦合有限大阵列个别单元激励端口无可避免出现阻抗失配的现象,引起阵列的散射特性恶化;此外,边缘截断效应、表面波以及不连续处电磁波的绕射皆会贡献阵列的RCS。为了解决这个困境,本发明提出一种基于广义散射矩阵理论的强耦合宽带相控阵带内RCS控制方法,利用广义散射矩阵理论为阵列中每个单元设计不同的匹配电路,从阵列综合角度实现相控阵的带内RCS缩减。In view of the above background, the purpose of the present invention is to propose an in-band RCS control method for a strongly coupled broadband phased array antenna in order to overcome the deficiencies of the prior art. Due to the close arrangement of the strongly coupled broadband phased array antenna elements, the ultra-wideband impedance matching characteristics are obtained by introducing the strong coupling effect to form a uniform and continuous current distribution on the array surface. In this case, the impedance mismatch of the excitation ports of the individual units of the strongly coupled finite array will inevitably occur, causing the scattering characteristics of the array to deteriorate; in addition, the edge truncation effect, surface waves and the diffraction of electromagnetic waves at discontinuities will all lead to Contributing to the RCS of the array. In order to solve this dilemma, the present invention proposes a strong coupling broadband phased array in-band RCS control method based on the generalized scattering matrix theory, using the generalized scattering matrix theory to design different matching circuits for each element in the array, and realize the realization from the perspective of array synthesis. In-band RCS reduction for phased arrays.

本发明的技术方案为:一种基于广义散射矩阵理论的强耦合宽带相控阵带内RCS控制方法,拓扑结构示意图如图1所示,包括以下步骤:The technical scheme of the present invention is: a strong coupling broadband phased array in-band RCS control method based on generalized scattering matrix theory, the schematic diagram of the topology structure is shown in Figure 1, and includes the following steps:

步骤1:构建强耦合宽带相控阵,提取强耦合宽带相控阵的广义散射矩阵G,广义散射矩阵的表达式如下:Step 1: Build a strongly coupled broadband phased array, and extract the generalized scattering matrix G of the strongly coupled broadband phased array. The expression of the generalized scattering matrix is as follows:

Figure BDA0002701366510000031
Figure BDA0002701366510000031

式中:Γ代表天线激励端口的反射参数矩阵,R代表作接收状态时天线的接收参数矩阵,T代表作发射状态时天线的发射参数矩阵,S代表电磁波入射时在天线阵面的反射系数,I为单位阵;In the formula: Γ represents the reflection parameter matrix of the antenna excitation port, R represents the receiving parameter matrix of the antenna in the receiving state, T represents the transmitting parameter matrix of the antenna in the transmitting state, S represents the reflection coefficient on the antenna front when the electromagnetic wave is incident, and I is unit array;

步骤2:为每个单元设计不同的匹配电路,并提取第i个单元其匹配电路的散射参数矩阵Ki;抑或采用等效电路的思想,快速计算匹配电路的散射参数矩阵,Ki的表达式如下:Step 2: Design a different matching circuit for each unit, and extract the scattering parameter matrix K i of the matching circuit of the ith unit; or use the idea of an equivalent circuit to quickly calculate the scattering parameter matrix of the matching circuit, the expression of K i The formula is as follows:

Figure BDA0002701366510000032
Figure BDA0002701366510000032

式中:Ki为第i个单元其匹配电路的S参数矩阵,

Figure BDA0002701366510000033
Figure BDA0002701366510000034
分别代表第i个单元其匹配电路中其他所有端口接匹配负载时端口1或端口2的反射系数,
Figure BDA0002701366510000035
是指第i个单元其匹配电路中其他所有端口接匹配负载时从端口2至端口1的传输系数,
Figure BDA0002701366510000036
是指第i个单元其匹配电路中其他所有端口接匹配负载时从端口1至端口2的传输系数;In the formula: K i is the S-parameter matrix of the matching circuit of the i-th unit,
Figure BDA0002701366510000033
and
Figure BDA0002701366510000034
respectively represent the reflection coefficient of port 1 or port 2 when all other ports in the matching circuit of the i-th unit are connected to matching loads,
Figure BDA0002701366510000035
Refers to the transmission coefficient from port 2 to port 1 when all other ports in the matching circuit of the i-th unit are connected to the matching load,
Figure BDA0002701366510000036
Refers to the transmission coefficient from port 1 to port 2 when all other ports in the matching circuit of the i-th unit are connected to the matching load;

步骤3:利用综合预估表达式,预测强耦合宽带相控阵中每个单元端接不同的匹配电路后强耦合宽带相控阵的广义散射参数矩阵Gm,广义散射矩阵的综合预估表达式如下:Step 3: Use the comprehensive prediction expression to predict the generalized scattering parameter matrix G m of the strong coupling broadband phased array after each element in the strong coupling broadband phased array is terminated with a different matching circuit, and the comprehensive prediction expression of the generalized scattering matrix The formula is as follows:

Figure BDA0002701366510000041
Figure BDA0002701366510000041

Figure BDA0002701366510000042
Figure BDA0002701366510000042

步骤4:利用计算出的广义散射参数矩阵Gm,可以轻易计算出强耦合宽带相控阵的有源驻波以及单站/双站RCS;Step 4: Using the calculated generalized scattering parameter matrix G m , the active standing wave and single-station/dual-station RCS of the strongly coupled broadband phased array can be easily calculated;

步骤5:结合全局优化算法优化每个单元端接的匹配电路,设计新的强耦合宽带相控阵,相比于原阵列其单站/双站RCS得到显著缩减,同时保证其辐射特性不被恶化;Step 5: Combine the global optimization algorithm to optimize the matching circuit terminated by each unit, and design a new strong-coupling broadband phased array. Compared with the original array, the single-station/dual-station RCS is significantly reduced, while ensuring that its radiation characteristics are not affected. deterioration;

步骤6:在仿真模型中将优化后的各个单元匹配电路端接于对应单元,利用电磁仿真软件全波仿真最终优化的模型,验证预测的辐射与散射特性;Step 6: In the simulation model, the optimized matching circuits of each unit are terminated to the corresponding units, and the final optimized model is simulated by full-wave electromagnetic simulation software to verify the predicted radiation and scattering characteristics;

步骤7:提取最终优化模型的有源方向图和激励端口无源散射参数矩阵,利用全局优化算法优化每个单元激励的幅度与相位,提高相控阵的可实现增益;Step 7: Extract the active pattern of the final optimization model and the passive scattering parameter matrix of the excitation port, and use the global optimization algorithm to optimize the amplitude and phase of each element excitation to improve the achievable gain of the phased array;

步骤3中的广义散射矩阵综合预估表达式完全考虑了每个单元端接不同匹配电路后激励端口之间的耦合影响,是一个精确的广义散射矩阵预估表达解析式;The generalized scattering matrix comprehensive prediction expression in step 3 completely considers the coupling effect between the excitation ports after each unit is terminated with different matching circuits, and is an accurate generalized scattering matrix prediction expression analytical expression;

步骤4中强耦合宽带相控阵中每个单元的有源驻波可以利用广义散射参数矩阵Gm中的Γm通过有源反射系数合成公式获得;In step 4, the active standing wave of each element in the strongly coupled broadband phased array can be obtained by using the Γ m in the generalized scattering parameter matrix G m through the active reflection coefficient synthesis formula;

总体说来,本发明总的技术方案为:基于广义散射矩阵理论利用综合预估式优化强耦合宽带相控阵天线各个单元端口与馈电网络之间接入的匹配网络,通过实现每个单元的良好阻抗匹配缩减模式项RCS抑或使得模式项与结构项在预期散射方向上能量对消,显著降低强耦合宽带相控阵的RCS。在优化过程中,为了实现阵列辐射性能与低散射性能的平衡折中,需要合理设定优化目标,才能取得较好的优化效果。最终期望得到在辐射特性不被明显恶化的情况下,实现具有较低RCS的天线阵列。In general, the general technical scheme of the present invention is as follows: based on the generalized scattering matrix theory, the matching network connected between each unit port of the strong coupling broadband phased array antenna and the feeding network is optimized by comprehensive prediction, and by realizing the Good impedance matching reduces the RCS of the mode term or makes the mode term and the structural term energy cancel in the expected scattering direction, which significantly reduces the RCS of the strongly coupled broadband phased array. In the optimization process, in order to achieve a balance between the radiation performance and the low scattering performance of the array, it is necessary to set the optimization target reasonably, in order to obtain a better optimization effect. Ultimately, it is desirable to achieve antenna arrays with lower RCS without significantly degrading the radiation characteristics.

本发明的创新性在于提出了基于广义散射矩阵理论的强耦合宽带相控阵天线RCS控制方法,通过广义散射矩阵的综合预估表达式精确预估强耦合宽带相控阵每个单元端接不同匹配电路后的广义散射矩阵,考虑了有限大阵列截断效应、表面波激励以及不连续处电磁波绕射等因素,实现对强耦合宽带相控阵辐射与散射特性的精确预估。在上述理论基础上,结合全局优化算法优化每个单元的端接匹配电路以及每个激励端口的激励幅度和相位,最终实现RCS缩减同时保持辐射特性不被恶化。于此同时,本发明具有以下独特之处:The innovation of the invention lies in that it proposes a strong coupling broadband phased array antenna RCS control method based on the generalized scattering matrix theory, and accurately predicts that each element of the strong coupling broadband phased array has different terminations through the comprehensive prediction expression of the generalized scattering matrix. The generalized scattering matrix after the matching circuit takes into account factors such as finite array truncation effect, surface wave excitation, and electromagnetic wave diffraction at discontinuities, so as to achieve accurate prediction of radiation and scattering characteristics of strongly coupled broadband phased arrays. Based on the above theoretical basis, combined with a global optimization algorithm to optimize the termination matching circuit of each unit and the excitation amplitude and phase of each excitation port, the RCS reduction is finally achieved while keeping the radiation characteristics from being deteriorated. At the same time, the present invention has the following unique features:

1.基于广义散射矩阵理论,提出了广义散射矩阵的综合预估表达式,实现强耦合宽带相控阵每个单元端接匹配网络后辐射与散射特性的精确预测,考虑了有限大阵列的截断效应、表面波激励以及不连续处电磁波绕射等由有限大尺寸引起的影响因素。1. Based on the generalized scattering matrix theory, a comprehensive prediction expression of the generalized scattering matrix is proposed to realize the accurate prediction of radiation and scattering characteristics after each element of the strongly coupled broadband phased array is terminated with a matching network, considering the truncation of the finite array effects, surface wave excitation, and electromagnetic wave diffraction at discontinuities caused by finite size.

2.不同于数值解析法,该公式的应用可以节省计算量,提高计算效率,能快速处理单元数量庞大的阵列,对于实现阵列天线辐射与散射特性的快速分析具有一定的价值;2. Different from the numerical analysis method, the application of this formula can save the amount of calculation, improve the calculation efficiency, and can quickly process the array with a large number of units, which has certain value for the rapid analysis of the radiation and scattering characteristics of the array antenna;

本发明的有益效果为:本发明能够在保证阵列辐射性能基本不被明显恶化的情况下显著实现对强耦合宽带相控阵天线的带内RCS缩减。与现有技术相比,本发明解决了在阵元之间存在故意增强的耦合效应时宽带相控阵天线的带内RCS缩减的难题,所提出的方法考虑了有限大阵列中的表面波效应、截断效应以及边缘绕射,能够精确地预估每个单元端接匹配电路后有限大阵列的辐射与散射特性,同时也可以用于强耦合宽带相控阵端接馈电网络后辐射与散射特性的预测。精确的综合预估表达式使得在优化过程中每次迭代所需的时间以及计算机资源极少。因此,本发明能够对有上千个单元数的强耦合宽带相控阵进行辐射与散射特性的快速预测以及优化。此外所提出的方法对于具有宽带特性的相控阵天线带内任意频点处辐射性能保持良好的前提下实现带内RCS的有效控制具有非常好的普适性。The beneficial effects of the present invention are as follows: the present invention can significantly reduce the in-band RCS of the strongly coupled broadband phased array antenna under the condition that the radiation performance of the array is not substantially deteriorated. Compared with the prior art, the present invention solves the problem of in-band RCS reduction of broadband phased array antennas when there is an intentionally enhanced coupling effect between array elements, and the proposed method takes into account the surface wave effect in a finite array. , truncation effect and edge diffraction, can accurately predict the radiation and scattering characteristics of a finite array after each unit is terminated with a matching circuit, and can also be used for radiation and scattering after a strongly coupled broadband phased array is terminated with a feed network. Prediction of properties. Accurate synthetic estimation expressions allow for minimal time and computer resources per iteration during the optimization process. Therefore, the present invention can rapidly predict and optimize the radiation and scattering characteristics of a strongly coupled broadband phased array with thousands of elements. In addition, the proposed method has very good universality for the effective control of in-band RCS under the premise that the radiation performance of phased array antennas with broadband characteristics at any frequency point in the band is kept good.

附图说明Description of drawings

图1为本发明的技术方案拓扑示意图Fig. 1 is a schematic diagram of the topology of the technical solution of the present invention

图2为本发明提供的具体实施方式中的工作于8.0–10.0GHz的1×16有限大强耦合宽带相控阵天线阵列(原始阵)模型示意图;FIG. 2 is a schematic diagram of a model of a 1×16 finite-strong-coupling broadband phased array antenna array (original array) operating at 8.0-10.0 GHz in the specific embodiment provided by the present invention;

图3为本发明提供的具体实施方式中的工作于8.0–10.0GHz的强耦合宽带相控阵天线单元模型示意图;3 is a schematic diagram of a model of a strongly coupled broadband phased array antenna unit operating at 8.0-10.0 GHz in the specific embodiment provided by the present invention;

图4为实施例1中强耦合阵列端接一组随机负载后,分别通过计算与仿真得到的1x16有限大强耦合宽带相控阵在同极化入射波垂直入射下的单站RCS;Figure 4 shows the single-station RCS of the 1x16 finite and strong coupling broadband phased array under the vertical incidence of the co-polar incident wave obtained by calculation and simulation after the strong coupling array in Example 1 is terminated with a set of random loads;

图5为实施例1中强耦合阵列端接一组随机负载后,分别通过计算与仿真得到的1x16有限大强耦合宽带相控阵中心单元以及两侧边缘单元的有源驻波;Fig. 5 shows the active standing waves of the center unit and the edge units on both sides of the 1x16 finite and strong coupling broadband phased array obtained by calculation and simulation after the strong coupling array in Example 1 is terminated with a set of random loads;

图6为实施例1中强耦合阵列端接一组随机负载后,分别通过计算与仿真得到的1x16有限大强耦合宽带相控阵在9.0GHz在同极化入射波垂直入射下的双站RCS;Figure 6 shows the dual-station RCS of a 1x16 finite-strong-coupling broadband phased array at 9.0 GHz under vertical incidence of co-polarized incident waves obtained through calculation and simulation after the strong-coupling array in Example 1 is terminated with a set of random loads. ;

图7为实施例1中强耦合阵列端接一组随机负载后,分别通过计算与仿真得到的1x16有限大强耦合宽带相控阵在9.0GHz的辐射远场电场图;Fig. 7 is the radiation far-field electric field diagram at 9.0 GHz of the 1x16 finite and strong coupling broadband phased array obtained by calculation and simulation after the strong coupling array is terminated with a set of random loads in Example 1;

图8为实施例2中将优化后的一组同轴腔加载于天线激励端口的1x16有限大强耦合宽带相控阵(优化阵)模型示意图;8 is a schematic diagram of a 1×16 limited-strong-coupling broadband phased array (optimized array) model in which an optimized group of coaxial cavities are loaded on an antenna excitation port in Embodiment 2;

图9为实施例2中金属地板、原始阵列与优化阵列在同极化入射波垂直入射下的单站RCS实际全波仿真性能对比图;9 is a comparison diagram of the actual full-wave simulation performance of the single-station RCS under the vertical incidence of the co-polarized incident wave of the metal floor, the original array and the optimized array in Example 2;

图10为实施例2中金属地板、原始阵列与优化阵列在9.0GHz在同极化入射波垂直入射下yoz面的双站RCS实际全波仿真性能对比图;10 is a comparison diagram of the actual full-wave simulation performance of the dual-station RCS on the yoz plane under the normal incidence of the co-polarized incident wave at 9.0 GHz on the metal floor, the original array and the optimized array in Example 2;

图11为实施例2中金属地板、原始阵列与优化阵列在9.0GHz在同极化入射波垂直入射下xoz面的双站RCS实际全波仿真性能对比图;11 is a comparison diagram of the actual full-wave simulation performance of the double-station RCS on the xoz plane under the normal incidence of the co-polarized incident wave at 9.0 GHz on the metal floor, the original array and the optimized array in Example 2;

图12为实施例2中原始阵以及优化阵在侧射以及45°扫描时中心单元有源驻波的全波仿真结果对比图;12 is a comparison diagram of the full-wave simulation results of the active standing wave of the central unit when the original array and the optimized array are side-fired and scanned at 45° in Example 2;

图13为实施例2中原始阵以及优化阵侧射时可实现增益的全波仿真结果对比图;13 is a comparison diagram of the full-wave simulation results of the gain that can be achieved when the original array and the optimized array are side-fired in Example 2;

图14为实施例2中原始阵以及优化阵可实现增益扫描方向图的全波仿真结果对比图;14 is a comparison diagram of the full-wave simulation results of the gain scanning pattern of the original array and the optimized array in Embodiment 2;

具体实施方式Detailed ways

下面结合附图对本发明的技术方案作进一步详细描述。The technical solutions of the present invention will be described in further detail below with reference to the accompanying drawings.

如图2和图3所示,以一个工作于X波段的强耦合宽带相控阵天线为例,其天线阵列1由N个强耦合宽带相控阵天线单元2组成,其中N是阵元个数,当然,不限定于图2所示的1×16个阵元,甚至可以是平面阵排布形式。所述的强耦合宽带相控阵天线单元2沿着天线主极化方向,即y方向等间距均匀排布,间距不超过λ/2(λ为相应的高频波长),所述强耦合宽带相控阵天线单元2之间紧密排列,单元之间具有故意增强的耦合效应。需要提及的是,在具体实施方式中,图2和图3所示的强耦合宽带相控阵天线单元模型仅仅作为一种示例,并不只限定于该阵元结构,熟悉本领域的工程技术人员可以根据实际需要采用任何其它形式的相控阵单元替代。为了对该强耦合宽带相控阵天线的带内RCS进行控制,通过在强耦合宽带相控阵天线各个单元端口与馈电网络/负载之间加载匹配电路3,在本实施案例中采用在铝板开同轴腔作为匹配电路,熟悉本领域的工程技术人员可以根据实际需要采用任何其它形式的匹配电路替代。以匹配电路为优化变量,采用广义散射矩阵的综合预估表达式联合差分进化算法(不限定于该算法,熟悉本领域的工程技术人员可以根据实际需要选择任何其它智能优化算法)同时对阵列的辐射性能和散射性能进行优化,从而将天线模式项RCS峰值移出阵列最大辐射方向,以实现阵列天线工作频带内指定威胁空域内的散射控制。As shown in Figure 2 and Figure 3, taking a strongly coupled broadband phased array antenna working in the X-band as an example, its antenna array 1 consists of N strongly coupled broadband phased array antenna units 2, where N is the number of array elements The number, of course, is not limited to the 1×16 array elements shown in FIG. 2 , and may even be in the form of a plane array arrangement. The strongly coupled broadband phased array antenna units 2 are evenly arranged along the main polarization direction of the antenna, that is, the y-direction is equally spaced, and the spacing does not exceed λ/2 (λ is the corresponding high-frequency wavelength). The phased array antenna elements 2 are closely arranged, and there is a deliberately enhanced coupling effect between the elements. It should be mentioned that in the specific implementation manner, the strongly coupled broadband phased array antenna element model shown in FIG. 2 and FIG. 3 is only used as an example, and is not limited to the structure of the array element, and is familiar with the engineering technology in the field Personnel can use any other form of phased array unit to replace according to actual needs. In order to control the in-band RCS of the strongly coupled broadband phased array antenna, a matching circuit 3 is loaded between each element port of the strongly coupled broadband phased array antenna and the feed network/load. The open coaxial cavity is used as a matching circuit, and those skilled in the art can use any other form of matching circuit to replace it according to actual needs. Taking the matching circuit as the optimization variable, the comprehensive prediction expression of the generalized scattering matrix is used in conjunction with the differential evolution algorithm (not limited to this algorithm, and engineers and technicians familiar with the field can choose any other intelligent optimization algorithm according to actual needs), and at the same time, the array is optimized. The radiation performance and scattering performance are optimized, so that the RCS peak value of the antenna mode term is shifted out of the maximum radiation direction of the array, so as to realize the scattering control in the designated threat airspace within the operating frequency band of the array antenna.

实施例1:广义散射矩阵理论方法有效性验证Example 1: Validation of Generalized Scattering Matrix Theory Method

具体地,在1×16强耦合有限大相控阵(如图1)端口随机端接一组阻抗,通过广义散射矩阵理论方法预测该阵列的辐射与散射特性,与商业电磁仿真软件的仿真结果进行对比:在8GHz–10GHz计算与仿真的单站RCS曲线如图3所示,图4给出了中心单元以及左右两边边缘单元侧射时的有源反射系数,图5给出了在中心频率9.0GHz处的双站RCS曲线,最后图6给出了在中心频率9.0GHz处的阵列辐射远场。从上述图片可以看出,通过本专利提出的广义散射矩阵理论方法预测计算出的单站RCS、双站RCS、有源反射系数以及辐射远场方向图与商业电磁仿真软件的仿真结果基本一致,验证了该方法的有效性。Specifically, a set of impedances are randomly terminated at the ports of a 1×16 strongly coupled finite phased array (as shown in Figure 1), and the radiation and scattering characteristics of the array are predicted by the generalized scattering matrix theory method, and the simulation results of commercial electromagnetic simulation software For comparison: the single-station RCS curves calculated and simulated at 8GHz-10GHz are shown in Figure 3, Figure 4 shows the active reflection coefficients of the center unit and the left and right edge units when side-emitting, and Figure 5 shows the center frequency The dual-station RCS curve at 9.0GHz, and finally Figure 6 gives the array radiation far-field at the center frequency of 9.0GHz. It can be seen from the above pictures that the single-station RCS, double-station RCS, active reflection coefficient and radiation far-field pattern predicted and calculated by the generalized scattering matrix theory method proposed in this patent are basically consistent with the simulation results of commercial electromagnetic simulation software. The effectiveness of this method is verified.

实施例2:1×16有限大强耦合宽带相控阵天线RCS优化综合控制Example 2: 1×16 limited, large and strong coupling broadband phased array antenna RCS optimization and comprehensive control

具体地,考虑8GHz–10GHz主极化入射波垂直照射到阵列天线1上时,阵列天线单站/双站RCS优化综合问题。最终优化得到的同轴腔3的长度以及特性阻抗,并加载于1×16强耦合宽带相控阵激励端口如图7所示,优化前后阵列天线的单站/双站散射性能结果对比分别如图8到图10所示。从图9中可见,优化的阵列相比于原始阵列在整个工作频带内都具有更低的散射特性,在8.25GHz–10.0GHz实现了至少5dB以上的RCS缩减。对比相同物理面积的金属地板,优化阵列在全频段实现至少10dB以上的RCS缩减,散射控制效果显著。从图9和图10中可以看出,优化阵列的双站RCS特性也得到明显降低。优化前后阵列的有源驻波如图11所示,图中可见优化阵列的有源驻波仍然小于3.0,满足实际工程应用。图12给出了优化前后阵列侧射时的可实现增益,从图中可以看出优化阵列相比于参考阵列可实现增益基本没有降低,最大增益缩减值仅为0.5dB,且在中心频带处增益略有提升。优化阵列在中心频率9.0GHz的0°以及45°扫描方向图如图13所示,可见优化阵列方向图指向良好,无畸变。Specifically, when the 8GHz-10GHz main polarization incident wave is vertically irradiated on the array antenna 1, the single-station/dual-station RCS optimization synthesis problem of the array antenna is considered. The length and characteristic impedance of the coaxial cavity 3 obtained by the final optimization and loaded on the excitation port of the 1×16 strong coupling broadband phased array are shown in Figure 7. The comparison of the single-station/dual-station scattering performance results of the array antenna before and after optimization are shown in 8 to 10. It can be seen from Figure 9 that the optimized array has lower scattering characteristics in the entire operating frequency band than the original array, and achieves at least 5dB reduction in RCS at 8.25GHz–10.0GHz. Compared with the metal floor of the same physical area, the optimized array achieves at least 10dB RCS reduction in the whole frequency band, and the scattering control effect is remarkable. It can be seen from Figures 9 and 10 that the dual-station RCS characteristics of the optimized array are also significantly reduced. The active standing wave of the array before and after optimization is shown in Figure 11. It can be seen from the figure that the active standing wave of the optimized array is still less than 3.0, which meets practical engineering applications. Figure 12 shows the achievable gain of the array before and after optimization. It can be seen from the figure that the achievable gain of the optimized array is basically not reduced compared to the reference array, and the maximum gain reduction value is only 0.5dB, and at the center frequency band Gain slightly increased. The 0° and 45° scanning patterns of the optimized array at the center frequency of 9.0 GHz are shown in Figure 13. It can be seen that the optimized array pattern points well and has no distortion.

综上,本发明提出的技术手段在宽带范围内显著缩减强耦合宽带相控阵的单站RCS,且基本保持了其辐射特性。To sum up, the technical means proposed in the present invention can significantly reduce the single-station RCS of the strongly coupled broadband phased array in the broadband range, and basically maintain its radiation characteristics.

以上是向熟悉本发明领域的工程技术人员提供的对本发明及其具体实施方案的优选实施方式的描述,应当指出,这些描述应被视为是说明性的,而非限定性的。对于本领域的工程技术人员来说,在不脱离本发明原理的前提下,据此发明的中心思想结合具体问题还可以做出具体的操作实施、若干改进和润饰,自然也可以据以上所述对实施方案做出一系列的变更。上述这些内容也应被视为本发明的保护范围。The foregoing is a description of the preferred embodiments of the present invention and specific embodiments thereof provided to those skilled in the art of the invention, and it should be noted that these descriptions are to be regarded in an illustrative rather than a restrictive sense. For engineers and technicians in the field, without departing from the principle of the present invention, according to the central idea of the present invention, combined with specific problems, specific operation implementation, several improvements and modifications can also be made. Naturally, it can also be based on the above Make a series of changes to the implementation. The above contents should also be regarded as the protection scope of the present invention.

Claims (3)

1.基于广义散射矩阵的强耦合宽带相控阵的带内RCS控制方法,其特征在于,包括以下步骤:1. the in-band RCS control method of the strong coupling broadband phased array based on generalized scattering matrix, is characterized in that, comprises the following steps: 步骤1:构建强耦合宽带相控阵,提取强耦合宽带相控阵的广义散射矩阵G,广义散射矩阵的表达式如下:Step 1: Build a strongly coupled broadband phased array, and extract the generalized scattering matrix G of the strongly coupled broadband phased array. The expression of the generalized scattering matrix is as follows:
Figure FDA0002701366500000011
Figure FDA0002701366500000011
式中:Γ代表天线激励端口的反射参数矩阵,R代表作接收状态时天线的接收参数矩阵,T代表作发射状态时天线的发射参数矩阵,S代表电磁波入射时在天线阵面的反射系数,I为单位阵;In the formula: Γ represents the reflection parameter matrix of the antenna excitation port, R represents the receiving parameter matrix of the antenna in the receiving state, T represents the transmitting parameter matrix of the antenna in the transmitting state, S represents the reflection coefficient on the antenna front when the electromagnetic wave is incident, and I is unit array; 步骤2:为每个单元设计不同的匹配电路,并提取第i个单元其匹配电路的散射参数矩阵Ki;抑或采用等效电路的思想,快速计算匹配电路的散射参数矩阵,Ki的表达式如下:Step 2: Design a different matching circuit for each unit, and extract the scattering parameter matrix K i of the matching circuit of the ith unit; or use the idea of an equivalent circuit to quickly calculate the scattering parameter matrix of the matching circuit, the expression of K i The formula is as follows:
Figure FDA0002701366500000012
Figure FDA0002701366500000012
式中:Ki为第i个单元其匹配电路的S参数矩阵,
Figure FDA0002701366500000013
Figure FDA0002701366500000014
分别代表第i个单元其匹配电路中其他所有端口接匹配负载时端口1或端口2的反射系数,
Figure FDA0002701366500000015
是指第i个单元其匹配电路中其他所有端口接匹配负载时从端口2至端口1的传输系数,
Figure FDA0002701366500000016
是指第i个单元其匹配电路中其他所有端口接匹配负载时从端口1至端口2的传输系数;
In the formula: K i is the S-parameter matrix of the matching circuit of the i-th unit,
Figure FDA0002701366500000013
and
Figure FDA0002701366500000014
respectively represent the reflection coefficient of port 1 or port 2 when all other ports in the matching circuit of the i-th unit are connected to matching loads,
Figure FDA0002701366500000015
Refers to the transmission coefficient from port 2 to port 1 when all other ports in the matching circuit of the i-th unit are connected to the matching load,
Figure FDA0002701366500000016
Refers to the transmission coefficient from port 1 to port 2 when all other ports in the matching circuit of the i-th unit are connected to the matching load;
步骤3:利用综合预估表达式,预测强耦合宽带相控阵中每个单元端接不同的匹配电路后强耦合宽带相控阵的广义散射参数矩阵Gm,广义散射矩阵的综合预估表达式如下:Step 3: Use the comprehensive prediction expression to predict the generalized scattering parameter matrix G m of the strong coupling broadband phased array after each element in the strong coupling broadband phased array is terminated with a different matching circuit, and the comprehensive prediction expression of the generalized scattering matrix The formula is as follows:
Figure FDA0002701366500000017
Figure FDA0002701366500000017
Figure FDA0002701366500000018
Figure FDA0002701366500000018
步骤4:利用计算出的广义散射参数矩阵Gm,可以轻易计算出强耦合宽带相控阵的有源驻波以及单站/双站RCS;Step 4: Using the calculated generalized scattering parameter matrix G m , the active standing wave and single-station/dual-station RCS of the strongly coupled broadband phased array can be easily calculated; 步骤5:结合全局优化算法优化每个单元端接的匹配电路,设计新的强耦合宽带相控阵,相比于原阵列其单站/双站RCS得到显著缩减,同时保证其辐射特性不被恶化;Step 5: Combine the global optimization algorithm to optimize the matching circuit terminated by each unit, and design a new strong-coupling broadband phased array. Compared with the original array, the single-station/dual-station RCS is significantly reduced, while ensuring that its radiation characteristics are not affected. deterioration; 步骤6:在仿真模型中将优化后的各个单元匹配电路端接于对应单元,利用电磁仿真软件全波仿真最终优化的模型,验证预测的辐射与散射特性;Step 6: In the simulation model, the optimized matching circuits of each unit are terminated to the corresponding units, and the final optimized model is simulated by full-wave electromagnetic simulation software to verify the predicted radiation and scattering characteristics; 步骤7:提取最终优化模型的有源方向图和激励端口无源散射参数矩阵,利用全局优化算法优化每个单元激励的幅度与相位,提高相控阵的可实现增益;Step 7: Extract the active pattern of the final optimization model and the passive scattering parameter matrix of the excitation port, and use the global optimization algorithm to optimize the amplitude and phase of each element excitation to improve the achievable gain of the phased array; 步骤4中强耦合宽带相控阵中每个单元的有源驻波可以利用广义散射参数矩阵Gm中的Γm通过有源反射系数合成公式获得。In step 4, the active standing wave of each element in the strongly coupled broadband phased array can be obtained by using the Γ m in the generalized scattering parameter matrix G m through the active reflection coefficient synthesis formula.
2.根据权利要求1所述的基于广义散射矩阵的强耦合宽带相控阵的带内RCS控制方法,其特征在于,步骤3中的广义散射矩阵综合预估表达式完全考虑了每个单元端接不同匹配电路后激励端口之间的耦合影响,是一个精确的广义散射矩阵预估表达解析式。2. the in-band RCS control method of the strong coupling broadband phased array based on generalized scattering matrix according to claim 1, it is characterized in that, the comprehensive estimation expression of generalized scattering matrix in step 3 has fully considered each unit end The coupling effect between the excitation ports after connecting different matching circuits is an accurate analytical expression for predicting the generalized scattering matrix. 3.根据权利要求1所述的基于广义散射矩阵的强耦合宽带相控阵的带内RCS控制方法,其特征在于,该方法对于具有宽带特性的相控阵天线带内任意频点处辐射性能保持良好的前提下实现带内RCS的有效控制具有非常好的普适性。3. the in-band RCS control method of the strong coupling broadband phased array based on generalized scattering matrix according to claim 1, it is characterized in that, this method is for the phased array antenna with broadband characteristic in-band radiation performance at any frequency point The effective control of in-band RCS under the premise of maintaining good performance has very good universality.
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