CN117835260B - Multi-frequency multi-polarization wide-beam scanning base station system and optimal design method - Google Patents
Multi-frequency multi-polarization wide-beam scanning base station system and optimal design method Download PDFInfo
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Abstract
本发明公开了一种多频多极化宽波束扫描基站系统及优化设计方法,涉及移动高速率无线通信领域,包括:依据口面场展开和模式耦合理论,设计能够辐射高斯基模波束的圆锥喇叭馈源天线,提供稳定的波束宽度和相位中心;设计以周期结构为基础的波束分离器件,包含带通频率选择表面和线极化栅;合成多频多极化通道的前端准光链路以扩大基站天线带宽和通信速率;本发明结合遗传优化算法与反射面赋形有效减小双反射面天线遮挡效应与扫描角度的矛盾,实现倍增波束扫描角度。
The invention discloses a multi-frequency multi-polarization wide-beam scanning base station system and an optimization design method, which relate to the field of mobile high-speed wireless communications, including: designing a conical horn feed antenna capable of radiating a Gaussian base mode beam based on aperture field expansion and mode coupling theory to provide a stable beam width and phase center; designing a beam separation device based on a periodic structure, comprising a bandpass frequency selective surface and a linear polarization grating; synthesizing a front-end quasi-optical link of a multi-frequency multi-polarization channel to expand the base station antenna bandwidth and communication rate; the invention combines a genetic optimization algorithm with a reflector shaping to effectively reduce the contradiction between the shielding effect of a double reflector antenna and a scanning angle, thereby realizing a multiplied beam scanning angle.
Description
技术领域Technical Field
本发明涉及移动高速率无线通信领域,尤其涉及一种多频多极化宽波束扫描基站系统及优化设计方法。The present invention relates to the field of mobile high-speed wireless communications, and in particular to a multi-frequency multi-polarization wide-beam scanning base station system and an optimization design method.
背景技术Background Art
20世纪80年代末,随着数字通信技术的发展,移动通信技术逐渐开始普及。目前,第五代移动通信系统(5G)已经开始商用。5G技术的优点包括更高的速度、更低的延迟、更大的带宽、更好的网络可靠性和安全性,以及更好的能源效率。高速率移动通信基站天线技术对5G甚至6G的推广将起到举足轻重的作用。准光技术是一种利用毫米波进行无线通信的技术,它结合了光通信和微波通信的特点,在工程中用于波束定向传播、波束赋形和空间滤波。准光技术基于光学原理,利用微波和毫米波频率范围内的电磁波进行波束成形和构成波束定向系统。目前准光系统已在雷达系统、卫星通信和无线通信网络等领域中得到使用。In the late 1980s, with the development of digital communication technology, mobile communication technology gradually became popular. At present, the fifth-generation mobile communication system (5G) has begun commercial use. The advantages of 5G technology include higher speed, lower latency, larger bandwidth, better network reliability and security, and better energy efficiency. High-speed mobile communication base station antenna technology will play a vital role in the promotion of 5G and even 6G. Quasi-optical technology is a technology that uses millimeter waves for wireless communication. It combines the characteristics of optical communication and microwave communication and is used for beam directional propagation, beamforming and spatial filtering in engineering. Quasi-optical technology is based on optical principles and uses electromagnetic waves in the microwave and millimeter wave frequency range to perform beamforming and form a beam directional system. At present, quasi-optical systems have been used in radar systems, satellite communications, wireless communication networks and other fields.
当前移动通信基站天线技术存在以下难点:传输速率较低,在毫米波频段未能实现大带宽;在毫米波频段损耗较大;波束扫描极限角度很小,跟踪移动目标能力很差。The current mobile communication base station antenna technology has the following difficulties: the transmission rate is low and a large bandwidth cannot be achieved in the millimeter wave frequency band; the loss in the millimeter wave frequency band is large; the beam scanning limit angle is very small and the ability to track moving targets is very poor.
鉴于此,有必要提出一种多频多极化宽波束扫描基站系统及优化设计方法。In view of this, it is necessary to propose a multi-frequency and multi-polarization wide-beam scanning base station system and an optimization design method.
发明内容Summary of the invention
为解决上述技术问题,本发明提供一种多频多极化宽波束扫描基站系统及优化设计方法,以扩大现有基站带宽同时降低传输损耗,并提升波束扫描功能。本发明由45GHz、100GHz和220GHz的圆锥波纹喇叭作为波束产生器件,辐射基模高斯波束,作为初始信号的馈源。圆锥波纹喇叭作为光滑内壁圆锥喇叭的改良,能够显著的减少喇叭金属边缘的绕射效应,同时可以优化方向图的轴对称性,并减少喇叭内部的交叉极化。在一般情况下,由圆波导馈送的电磁波为TE11主模,经过模式转换段后转化为HE11模,这是一种电磁平衡模式,圆锥波纹喇叭良好的辐射性能正源于此。In order to solve the above technical problems, the present invention provides a multi-frequency multi-polarization wide-beam scanning base station system and an optimization design method to expand the existing base station bandwidth while reducing transmission loss and improving the beam scanning function. The present invention uses 45GHz, 100GHz and 220GHz conical corrugated horns as beam generating devices, radiating fundamental mode Gaussian beams as the feed source of the initial signal. As an improvement of the smooth inner wall conical horn, the conical corrugated horn can significantly reduce the diffraction effect of the metal edge of the horn, while optimizing the axial symmetry of the directional pattern and reducing the cross-polarization inside the horn. Under normal circumstances, the electromagnetic wave fed by the circular waveguide is the TE 11 main mode, which is converted into the HE 11 mode after the mode conversion section. This is an electromagnetic balance mode, and the good radiation performance of the conical corrugated horn stems from this.
由线极化栅和45GHz、220GHz带通频率选择表面作为波束分离器件,提供多通道的波束分离与合成。线极化栅能够分离或合成垂直极化波束和水平极化波束,从而实现多极化的设计需求。线性极化栅的结构比较简单,由金属丝紧密排布在垂直平面上构成。频率选择表面是一种对电磁波产生控制作用的表面结构,通常具有二维周期性结构,由多个周期性的金属导体或电介质阵列组成。利用弗洛凯(Floquet)周期边界理论可以快速且精准的通过有限时域差分法(FDTD)算法计算频率选择表面的频率响应特性。Linear polarization gratings and 45GHz and 220GHz bandpass frequency selective surfaces are used as beam separation devices to provide multi-channel beam separation and synthesis. Linear polarization gratings can separate or synthesize vertically polarized beams and horizontally polarized beams, thereby achieving multi-polarization design requirements. The structure of the linear polarization grating is relatively simple, consisting of metal wires tightly arranged on a vertical plane. The frequency selective surface is a surface structure that controls electromagnetic waves, usually with a two-dimensional periodic structure, consisting of multiple periodic metal conductors or dielectric arrays. The frequency response characteristics of the frequency selective surface can be quickly and accurately calculated using the finite time-domain difference method (FDTD) algorithm using the Floquet periodic boundary theory.
由各种长短轴不同的椭球镜曲面作为波束汇聚器件,利用椭球的波束集聚功能将各个波束通道折叠汇聚,从而控制整体链路体积。根据入射波束参数和椭球的ABCD波束转移矩阵,可快速的计算出射波束的各种参数。同时椭球面实质为金属表面,支持系统的大带宽特性。利用物理光学算法(PO)可快速仿真波束变换前后的辐射场。The ellipsoid mirror surfaces with different long and short axes are used as beam focusing devices. The beam focusing function of the ellipsoid is used to fold and converge each beam channel, thereby controlling the overall link volume. According to the incident beam parameters and the ABCD beam transfer matrix of the ellipsoid, various parameters of the outgoing beam can be quickly calculated. At the same time, the ellipsoid surface is essentially a metal surface, which supports the large bandwidth characteristics of the system. The physical optics algorithm (PO) can be used to quickly simulate the radiation field before and after the beam transformation.
由大口面的反射面天线作为波束扫描器件,同时提供高增益。反射面天线是整体链路的最后一个准光器件,汇聚了所有波束通道并为它们提供高定向性辐射到自由空间中。通过反射面优化赋形和等效馈源的小偏焦移动,实现大角度的波束扫描,缓解了副反射面的遮挡效应和波束扫描角度之间的矛盾。The reflector antenna with a large aperture is used as a beam scanning device and provides high gain. The reflector antenna is the last quasi-optical device of the entire link, which gathers all beam channels and provides them with highly directional radiation into free space. Through the optimization of the reflector shaping and the small defocus movement of the equivalent feed source, large-angle beam scanning is achieved, alleviating the contradiction between the shielding effect of the sub-reflector and the beam scanning angle.
为达到上述目的,本发明采用如下技术方案:In order to achieve the above object, the present invention adopts the following technical scheme:
一种多频多极化宽波束扫描基站系统,包括波束产生器件、波束汇聚器件、波束分离器件和波束扫描器件;A multi-frequency multi-polarization wide beam scanning base station system, comprising a beam generating device, a beam converging device, a beam separating device and a beam scanning device;
所述波束产生器件,用于以宽带圆锥喇叭馈源辐射近似的高斯波束;The beam generating device is used to radiate an approximate Gaussian beam with a broadband conical horn feed source;
所述波束汇聚器件,利用椭球面镜的波束汇聚特性将多波束通道折叠汇聚;The beam focusing device utilizes the beam focusing characteristics of the ellipsoidal mirror to fold and converge the multi-beam channels;
所述波束分离器件,通过频率选择表面和线极化栅的波束分离特性将多通道波束分离;The beam separation device separates the multi-channel beams through the beam separation characteristics of the frequency selective surface and the linear polarization grid;
所述波束扫描器件,通过赋形优化后的大口径反射面天线实现宽角度的波束扫描。The beam scanning device realizes wide-angle beam scanning through a large-aperture reflector antenna after shape optimization.
进一步地,所述波束产生器件包括:45GHz、100GHz和220GHz圆锥波纹喇叭,模式转换段波槽深度由λ/2逐渐变换到λ/4,其中λ为馈源中心波长;以及辐射高斯波束的束腰为ω0,喇叭口面半径为a,ω0/a=0.644时近场能量分布与高斯基模耦合程度达到98%,能够提供稳定的相位中心和波束宽度,用于后续准光链路设计,提供高速率通信。Furthermore, the beam generating device includes: 45GHz, 100GHz and 220GHz conical corrugated horns, the groove depth of the mode conversion section gradually changes from λ/2 to λ/4, wherein λ is the central wavelength of the feed source; and the beam waist of the radiated Gaussian beam is ω 0 , the radius of the horn mouth is a, and when ω 0 /a=0.644, the coupling degree between the near-field energy distribution and the Gaussian base mode reaches 98%, which can provide a stable phase center and beam width for subsequent quasi-optical link design and provide high-speed communication.
进一步地,所述波束汇聚器件包括:高精度表面的椭球反射镜,利用椭球面镜的ABCD波束转移矩阵和波束匹配条件R1=Rin,其中R1为入射焦点到反射点的距离,Rin为入射波束曲率半径,将各通道波束汇聚折叠且保持小畸变量,实现系统体积的可控性。Furthermore, the beam focusing device includes: an ellipsoidal reflector with a high-precision surface, using the ABCD beam transfer matrix of the ellipsoidal mirror and the beam matching condition R 1 =R in , where R 1 is the distance from the incident focus to the reflection point, and R in is the incident beam curvature radius, to converge and fold the beams of each channel while maintaining a small distortion amount, thereby achieving controllability of the system volume.
进一步地,所述波束分离器件包括:45GHz、220GHz带通频率选择表面和线极化栅;通过依据弗洛凯(Floquet)定理的带通频率选择周期性表面实现多频波束的分离与合成,通过线极化栅实现双极化波束的分离与合成,使波束通道倍增。Furthermore, the beam separation device includes: 45GHz, 220GHz bandpass frequency selective surfaces and linear polarization gratings; the separation and synthesis of multi-frequency beams are realized by the bandpass frequency selective periodic surface based on Floquet's theorem, and the separation and synthesis of dual-polarization beams are realized by the linear polarization grating, so that the beam channel is doubled.
进一步地,所述波束扫描器件包括:以卡塞格伦天线结构为原型的大口面反射面天线,利用等效馈源小于4cm的偏焦移动结合物理光学仿真方法实现大于或等于20deg的波束扫描角度。Furthermore, the beam scanning device includes: a large-aperture reflector antenna based on a Cassegrain antenna structure, which utilizes an equivalent feed source with a focus shift of less than 4 cm combined with a physical optical simulation method to achieve a beam scanning angle greater than or equal to 20 degrees.
本发明还提供一种多频多极化宽波束扫描基站系统的优化设计方法,包括如下步骤:The present invention also provides an optimization design method for a multi-frequency multi-polarization wide-beam scanning base station system, comprising the following steps:
S1、测量前端准光链路输出波束的束腰宽度和等效束腰位置,作为反射面天线的等效高斯馈源;S1, measure the beam waist width and equivalent beam waist position of the output beam of the front-end quasi-optical link as the equivalent Gaussian feed source of the reflector antenna;
S2、利用傅里叶级数将主反射面母线进行有限项展开,在本发明中取前11项展开系数足以满足仿真精度;S2, using Fourier series to expand the main reflection surface busbar into finite terms, and in the present invention, the first 11 expansion coefficients are sufficient to meet the simulation accuracy;
S3、利用编程语言在电磁仿真软件中实现建模仿真,大大提升系统的仿真优化效率;S3. Use programming language to implement modeling and simulation in electromagnetic simulation software, greatly improving the simulation optimization efficiency of the system;
S4、根据目标扫描角度、等效馈源位置和等效束腰宽度设定适应度函数,适应度函数主要依靠于仿真分析得出的E面方向图的目标扫描角度区间的能量占比;S4. Setting a fitness function according to the target scanning angle, equivalent feed position and equivalent beam waist width. The fitness function mainly depends on the energy proportion of the target scanning angle interval of the E-plane pattern obtained by simulation analysis.
S5、利用遗传算法与电磁仿真分析不断调整傅里叶展开系数,遗传算法是一种启发式算法,通过模拟生物进化过程来解决优化问题。它是基于自然选择和遗传学的基本原理,通过模拟自然界的进化过程,使种群中优秀的基因逐步筛选出来,以达到优化的目的;S5. Use genetic algorithm and electromagnetic simulation analysis to continuously adjust Fourier expansion coefficients. Genetic algorithm is a heuristic algorithm that solves optimization problems by simulating the biological evolution process. It is based on the basic principles of natural selection and genetics. By simulating the evolutionary process of nature, excellent genes in the population are gradually screened out to achieve the purpose of optimization.
S6、当适应度函数取得最小值时优化停止,保留优化后的展开系数,此时赋形优化结束,完成了优化设计的所有步骤。S6. When the fitness function reaches the minimum value, the optimization stops and the optimized expansion coefficient is retained. At this time, the shaping optimization ends and all the steps of the optimization design are completed.
本发明的优点即有益效果如下:The advantages and beneficial effects of the present invention are as follows:
本发明中,宽频带,覆盖了24.25GHz到226GHz范围内全部移动通信可用频段,极大扩大了现有基站的带宽;损耗低,前端馈电系统采用准光方案,电磁波在自由空间于金属反射面之间传播;波束扫描角度大,通过利用遗传算法对反射面进行赋形优化,缓解了副反射面的遮挡效应和波束扫描角度之间的矛盾,通过小偏焦移动实现了大于或等于20deg的波束扫描角度。In the present invention, the broadband covers all available frequency bands for mobile communications in the range of 24.25 GHz to 226 GHz, greatly expanding the bandwidth of existing base stations; the loss is low, the front-end feeding system adopts a quasi-optical solution, and electromagnetic waves propagate between metal reflective surfaces in free space; the beam scanning angle is large, and the contradiction between the shielding effect of the sub-reflective surface and the beam scanning angle is alleviated by optimizing the shape of the reflective surface using a genetic algorithm, and a beam scanning angle greater than or equal to 20 degrees is achieved through a small defocus movement.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明的一种多频多极化宽波束扫描基站系统的示意图;FIG1 is a schematic diagram of a multi-frequency multi-polarization wide-beam scanning base station system of the present invention;
图2为圆锥波纹喇叭剖面图;Fig. 2 is a cross-sectional view of a conical corrugated horn;
图3为频率选择表面周期单元示意图;FIG3 is a schematic diagram of a periodic unit of a frequency selective surface;
图4为线极化栅原理图;FIG4 is a schematic diagram of a linear polarization grid;
图5为椭球面设计步骤流程图;Fig. 5 is a flow chart of the steps of ellipsoidal surface design;
图6为反射面赋形优化流程图;FIG6 is a flow chart of the optimization of the reflection surface shaping;
图7为赋形优化前后结果示意图。Figure 7 is a schematic diagram of the results before and after shape optimization.
图中的附图标记含义为:1为H极化100GHz馈源,2为H极化220GHz馈源,3为H极化45GHz馈源,4为V极化220GHz馈源,5为V极化100GHz馈源,6为V极化45GHz馈源,7为H极化100GHz馈源汇聚反射镜组,8为H极化220GHz馈源汇聚反射镜组,9为H极化45GHz馈源汇聚反射镜组,10为V极化100GHz馈源汇聚反射镜组,11为V极化220GHz馈源汇聚反射镜组,12为V极化45GHz馈源汇聚反射镜组,13为H极化220GHz带通频率选择表面,14为H极化45GHz带通频率选择表面,15为V极化220GHz带通频率选择表面,16为V极化45GHz带通频率选择表面,17为V极化多波束汇聚镜,18为H极化多波束汇聚镜,19为线极化栅,20为终端反射面天线。The meanings of the reference numerals in the figure are: 1 is an H-polarized 100 GHz feed source, 2 is an H-polarized 220 GHz feed source, 3 is an H-polarized 45 GHz feed source, 4 is a V-polarized 220 GHz feed source, 5 is a V-polarized 100 GHz feed source, 6 is a V-polarized 45 GHz feed source, 7 is an H-polarized 100 GHz feed source converging reflector group, 8 is an H-polarized 220 GHz feed source converging reflector group, 9 is an H-polarized 45 GHz feed source converging reflector group, 10 is a V-polarized 100 GHz feed source converging reflector group Mirror group, 11 is a V-polarization 220 GHz feed focusing reflector group, 12 is a V-polarization 45 GHz feed focusing reflector group, 13 is an H-polarization 220 GHz bandpass frequency selective surface, 14 is an H-polarization 45 GHz bandpass frequency selective surface, 15 is a V-polarization 220 GHz bandpass frequency selective surface, 16 is a V-polarization 45 GHz bandpass frequency selective surface, 17 is a V-polarization multi-beam focusing mirror, 18 is an H-polarization multi-beam focusing mirror, 19 is a linear polarization grating, and 20 is a terminal reflector antenna.
具体实施方式DETAILED DESCRIPTION
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述。显然,所描述的实施例仅是本申请一部分实施例,而不是全部的实施例。基于本申请中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本申请保护的范围。In order to make the purpose, technical scheme and advantages of the embodiments of the present invention clearer, the technical scheme in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of this application.
下面结合附图以及具体实施方式进一步说明本系统如何进行设计。The following further illustrates how the system is designed in conjunction with the accompanying drawings and specific implementation methods.
本发明的基本原理结构如图1所示。馈源采用45GHz、100GHz和220GHz圆锥波纹喇叭,以提供初始的高斯波束。所述馈源包括H极化100GHz馈源1、H极化220GHz馈源2、H极化45GHz馈源3、V极化220GHz馈源4、V极化100GHz馈源5、V极化45GHz馈源6。三种45GHz、100GHz和220GHz圆锥波纹喇叭的高斯波束的束腰大小和位置将在下文给出。只有明确了馈源高斯波束的束腰大小和位置,准光链路系统各个位置的波束半径、曲率半径等高斯波束参数才能准确的计算。H极化100GHz馈源1、H极化220GHz馈源2、H极化45GHz馈源3、V极化220GHz馈源4、V极化100GHz馈源5、V极化45GHz馈源6发出高斯波束之后,随后皆进入一组反射镜系统,所述反射镜系统包括H极化100GHz馈源汇聚反射镜组7,H极化220GHz馈源汇聚反射镜组8,H极化45GHz馈源汇聚反射镜组9,V极化100GHz馈源汇聚反射镜组10,V极化220GHz馈源汇聚反射镜组11,V极化45GHz馈源汇聚反射镜组12。反射镜系统对入射高斯波束予以折叠、汇聚和变换,使得出射高斯波束参数满足后续的设计指标。反射镜的设计方法与步骤将在下文给出。100GHz和220GHz波束经过H极化100GHz馈源汇聚反射镜组7,H极化220GHz馈源汇聚反射镜组8,V极化100GHz馈源汇聚反射镜组10,V极化220GHz馈源汇聚反射镜组11后进入220GHz带通频率选择表面,通过220GHz带通频率选择表面将二者传输路径合成。随后该路径波束与经过H极化45GHz馈源汇聚反射镜组9,V极化45GHz馈源汇聚反射镜组12的45GHz波束进入到45GHz带通频率选择表面,通过45GHz带通频率选择表面将三种频率的波束传输路径合成。之后进入线极化栅,将H极化与V极化的波束路径合成,实现通道数量的加倍。最后,将所有频率通道和所有极化通道的波束合成在同一位置和同一方向统一馈入到反射面天线之中。最终由反射面天线实现高增益的波束扫描功能。The basic principle structure of the present invention is shown in Figure 1. The feed source adopts 45GHz, 100GHz and 220GHz conical corrugated horns to provide an initial Gaussian beam. The feed source includes H-polarized 100GHz feed 1, H-polarized 220GHz feed 2, H-polarized 45GHz feed 3, V-polarized 220GHz feed 4, V-polarized 100GHz feed 5, and V-polarized 45GHz feed 6. The waist sizes and positions of the Gaussian beams of the three 45GHz, 100GHz and 220GHz conical corrugated horns will be given below. Only by clarifying the waist size and position of the feed source Gaussian beam can the Gaussian beam parameters such as the beam radius, curvature radius, etc. at each position of the quasi-optical link system be accurately calculated. After the H-polarized 100GHz feed 1, the H-polarized 220GHz feed 2, the H-polarized 45GHz feed 3, the V-polarized 220GHz feed 4, the V-polarized 100GHz feed 5, and the V-polarized 45GHz feed 6 emit Gaussian beams, they all enter a set of reflector systems, which include an H-polarized 100GHz feed convergence reflector group 7, an H-polarized 220GHz feed convergence reflector group 8, an H-polarized 45GHz feed convergence reflector group 9, a V-polarized 100GHz feed convergence reflector group 10, a V-polarized 220GHz feed convergence reflector group 11, and a V-polarized 45GHz feed convergence reflector group 12. The reflector system folds, converges, and transforms the incident Gaussian beam so that the parameters of the outgoing Gaussian beam meet the subsequent design indicators. The design method and steps of the reflector will be given below. The 100GHz and 220GHz beams pass through the H-polarized 100GHz feed convergence reflector group 7, the H-polarized 220GHz feed convergence reflector group 8, the V-polarized 100GHz feed convergence reflector group 10, and the V-polarized 220GHz feed convergence reflector group 11, and then enter the 220GHz bandpass frequency selection surface, and the two transmission paths are synthesized through the 220GHz bandpass frequency selection surface. Subsequently, the path beam and the 45GHz beam passing through the H-polarized 45GHz feed convergence reflector group 9 and the V-polarized 45GHz feed convergence reflector group 12 enter the 45GHz bandpass frequency selection surface, and the beam transmission paths of the three frequencies are synthesized through the 45GHz bandpass frequency selection surface. After that, it enters the linear polarization grid to synthesize the beam paths of H polarization and V polarization, and doubles the number of channels. Finally, the beams of all frequency channels and all polarization channels are synthesized at the same position and in the same direction and uniformly fed into the reflector antenna. Finally, the reflector antenna realizes the high-gain beam scanning function.
下面具体说明6通道信号的传输过程:H极化100GHz信号经H极化100GHz馈源1发射,之后进入H极化100GHz馈源汇聚反射镜组7,之后依次经过H极化220GHz带通频率选择表面13和H极化45GHz带通频率选择表面14,之后经过H极化多波束汇聚镜18,最后经过线极化栅19馈入终端反射面天线20。H极化220GHz信号经H极化220GHz馈源2发射,之后进入H极化220GHz馈源汇聚反射镜组8,之后依次经过H极化220GHz带通频率选择表面13和H极化45GHz带通频率选择表面14,之后经过H极化多波束汇聚镜18,最后经过线极化栅19馈入终端反射面天线20。H极化45GHz信号经H极化45GHz馈源3发射,之后进入H极化45GHz馈源汇聚反射镜组9,之后经过H极化45GHz带通频率选择表面14,之后经过H极化多波束汇聚镜18,最后经过线极化栅19馈入终端反射面天线20。V极化100GHz信号经V极化100GHz馈源5发射,之后进入V极化100GHz馈源汇聚反射镜组10,之后依次经过V极化220GHz带通频率选择表面15和V极化45GHz带通频率选择表面16,之后经过V极化多波束汇聚镜17,最后经过线极化栅19馈入终端反射面天线20。V极化220GHz信号经V极化220GHz馈源4发射,之后进入V极化220GHz馈源汇聚反射镜组11,之后依次经过V极化220GHz带通频率选择表面15和V极化45GHz带通频率选择表面16,之后经过V极化多波束汇聚镜17,最后经过线极化栅19馈入终端反射面天线20。V极化45GHz信号经V极化45GHz馈源6发射,之后进入V极化45GHz馈源汇聚反射镜组12,之后经过V极化45GHz带通频率选择表面16,之后经过V极化多波束汇聚镜17,最后经过线极化栅19馈入终端反射面天线20。前端准光链路面板整体大小为30cm*40cm。The transmission process of the 6-channel signal is described in detail below: The H-polarized 100 GHz signal is transmitted through the H-polarized 100 GHz feed source 1, and then enters the H-polarized 100 GHz feed source focusing reflector group 7, and then passes through the H-polarized 220 GHz bandpass frequency selective surface 13 and the H-polarized 45 GHz bandpass frequency selective surface 14 in sequence, and then passes through the H-polarized multi-beam focusing mirror 18, and finally passes through the linear polarization grid 19 to feed the terminal reflector antenna 20. The H-polarized 220 GHz signal is transmitted through the H-polarized 220 GHz feed source 2, and then enters the H-polarized 220 GHz feed source focusing reflector group 8, and then passes through the H-polarized 220 GHz bandpass frequency selective surface 13 and the H-polarized 45 GHz bandpass frequency selective surface 14 in sequence, and then passes through the H-polarized multi-beam focusing mirror 18, and finally passes through the linear polarization grid 19 to feed the terminal reflector antenna 20. The H-polarized 45 GHz signal is transmitted through the H-polarized 45 GHz feed 3, and then enters the H-polarized 45 GHz feed focusing reflector group 9, and then passes through the H-polarized 45 GHz bandpass frequency selective surface 14, and then passes through the H-polarized multi-beam focusing mirror 18, and finally passes through the linear polarization grid 19 to feed the terminal reflector antenna 20. The V-polarized 100 GHz signal is transmitted through the V-polarized 100 GHz feed 5, and then enters the V-polarized 100 GHz feed focusing reflector group 10, and then passes through the V-polarized 220 GHz bandpass frequency selective surface 15 and the V-polarized 45 GHz bandpass frequency selective surface 16 in sequence, and then passes through the V-polarized multi-beam focusing mirror 17, and finally passes through the linear polarization grid 19 to feed the terminal reflector antenna 20. The V-polarized 220GHz signal is transmitted through the V-polarized 220GHz feed source 4, and then enters the V-polarized 220GHz feed source focusing reflector group 11, and then passes through the V-polarized 220GHz bandpass frequency selective surface 15 and the V-polarized 45GHz bandpass frequency selective surface 16 in sequence, and then passes through the V-polarized multi-beam focusing mirror 17, and finally passes through the linear polarization grating 19 to feed the terminal reflector antenna 20. The V-polarized 45GHz signal is transmitted through the V-polarized 45GHz feed source 6, and then enters the V-polarized 45GHz feed source focusing reflector group 12, and then passes through the V-polarized 45GHz bandpass frequency selective surface 16, and then passes through the V-polarized multi-beam focusing mirror 17, and finally passes through the linear polarization grating 19 to feed the terminal reflector antenna 20. The overall size of the front-end quasi-optical link panel is 30cm*40cm.
圆锥波纹喇叭的基本结构如图2所示。圆锥波纹喇叭天线可以提供轴对称的口面场分布,这是与高斯传输模式耦合的基础。在准光系统中,常常用圆锥波纹喇叭作为馈源,其可以辐射近似的高斯波束。模式转换段波槽深度由λ/2逐渐变换到λ/4,之后维持λ/4不变,λ为馈源中心波长。图2中,L1为模式转换段的长度,L2为模式维持段的长度,L3为高斯轮廓段的长度,L为圆锥波纹喇叭的长度,r为馈电圆波导半径,d为波纹槽深度,w为波槽宽度,t为波齿宽度,a为喇叭口面半径,α为口面张角。近轴波动方程的解由一系列高斯模式组成,这些高斯模式彼此之间正交,故可以作为口面场展开的正交基。所以,垂直于光轴的近轴光束电场总可以扩展为这些模式的叠加。通常,用较少的高斯模式就可以很好的展开原始电场,在某些情况下,仅仅用高斯基模就可以提供很高的耦合系数。在圆锥波纹喇叭中,ω0/a=0.644时近场能量分布与高斯基模耦合程度高达98%,能够提供稳定的相位中心和波束宽度,其中,辐射高斯波束的束腰为ω0,喇叭口面半径为a。各频率喇叭参数详见表1。表1中f为圆锥波纹喇叭的中心频率。The basic structure of the conical corrugated horn is shown in Figure 2. The conical corrugated horn antenna can provide an axisymmetric aperture field distribution, which is the basis for coupling with the Gaussian transmission mode. In quasi-optical systems, conical corrugated horns are often used as feed sources, which can radiate approximate Gaussian beams. The depth of the mode conversion section wave groove gradually changes from λ/2 to λ/4, and then maintains λ/4 unchanged, where λ is the central wavelength of the feed source. In Figure 2, L1 is the length of the mode conversion section, L2 is the length of the mode maintenance section, L3 is the length of the Gaussian contour section, L is the length of the conical corrugated horn, r is the radius of the feed circular waveguide, d is the corrugated groove depth, w is the wave groove width, t is the wave tooth width, a is the horn aperture radius, and α is the aperture angle. The solution of the paraxial wave equation consists of a series of Gaussian modes, which are orthogonal to each other, so they can be used as an orthogonal basis for the aperture field expansion. Therefore, the electric field of the paraxial beam perpendicular to the optical axis can always be expanded to the superposition of these modes. Usually, the original electric field can be well expanded with fewer Gaussian modes. In some cases, only the Gaussian modes can provide a high coupling coefficient. In the conical corrugated horn, when ω 0 /a=0.644, the coupling degree between the near-field energy distribution and the Gaussian modes is as high as 98%, which can provide a stable phase center and beam width, where the waist of the radiated Gaussian beam is ω 0 and the radius of the horn mouth is a. The parameters of the horns at various frequencies are detailed in Table 1. In Table 1, f is the center frequency of the conical corrugated horn.
表1Table 1
45GHz,100GHz和220GHz圆锥波纹喇叭的远场E面H面远场方向图大致相同,能量在主瓣集中程度很高。E面波束较宽,同时旁瓣低;H面波束较窄,同时旁瓣高。45GHz圆锥波纹喇叭E面远场方向图最高增益为20.2dBi,3dB波束宽度为19.7deg;H面远场方向图最高增益为20.2dBi,3dB波束宽度为18.2deg。100GHz圆锥波纹喇叭E面远场方向图最高增益为20.2dBi,3dB波束宽度为19.7deg;H面远场方向图最高增益为20.2dBi,3dB波束宽度为18.2deg。220GHz圆锥波纹喇叭E面远场方向图最高增益为20.2dBi,3dB波束宽度为19.7deg;H面远场方向图最高增益为20.2dBi,3dB波束宽度为18.4deg。喇叭相位中心与束腰宽度如表2所示。The far-field E-plane and H-plane far-field patterns of 45GHz, 100GHz and 220GHz conical corrugated horns are roughly the same, and the energy is highly concentrated in the main lobe. The E-plane beam is wider and the side lobes are low; the H-plane beam is narrower and the side lobes are high. The maximum gain of the E-plane far-field pattern of the 45GHz conical corrugated horn is 20.2dBi, and the 3dB beamwidth is 19.7deg; the maximum gain of the H-plane far-field pattern is 20.2dBi, and the 3dB beamwidth is 18.2deg. The maximum gain of the E-plane far-field pattern of the 100GHz conical corrugated horn is 20.2dBi, and the 3dB beamwidth is 19.7deg; the maximum gain of the H-plane far-field pattern is 20.2dBi, and the 3dB beamwidth is 18.2deg. The maximum gain of the far-field pattern of the 220GHz conical corrugated horn on the E plane is 20.2dBi, and the 3dB beam width is 19.7deg; the maximum gain of the far-field pattern of the H plane is 20.2dBi, and the 3dB beam width is 18.4deg. The horn phase center and beam waist width are shown in Table 2.
表2Table 2
表2中列出了45GHz、100GHz和200GHz馈源喇叭的相位中心和束腰宽度。可见相位中心与喇叭口面基本重合,这样设计的高斯馈源喇叭大大方便了准光链路的系统级设计。相位中心和喇叭口面非完全重合的原因是高斯基模与圆锥波纹喇叭的能量耦合系数非100%。Table 2 lists the phase center and beam waist width of the 45GHz, 100GHz and 200GHz feed horns. It can be seen that the phase center and the horn mouth are basically coincident. The Gaussian feed horn designed in this way greatly facilitates the system-level design of quasi-optical links. The reason why the phase center and the horn mouth are not completely coincident is that the energy coupling coefficient between the Gaussian base mode and the conical corrugated horn is not 100%.
频率选择表面的周期性图3所示。利用弗洛凯(Floquet)周期边界理论可以快速且精准的通过有限时域差分法(FDTD)算法计算频率选择表面的频率响应特性。在电磁学中的弗洛凯(Floquet)定理可以推广为:在稳定的传输模式下,某一截面的场与相距一定空间周期的另一截面的场只差一个复常数。表3中列出了频率选择表面(FSS)的详细参数。Ts为周期单元边长,H1为短边边长,H2为长边边长,R为中心圆盘半径,Hs为频率选择表面层间距离。The periodicity of the frequency selective surface is shown in Figure 3. The frequency response characteristics of the frequency selective surface can be quickly and accurately calculated by the finite time domain difference method (FDTD) algorithm using the Floquet periodic boundary theory. The Floquet theorem in electromagnetics can be generalized as follows: in a stable transmission mode, the field of a certain section differs from the field of another section separated by a certain spatial period by only a complex constant. Table 3 lists the detailed parameters of the frequency selective surface (FSS). Ts is the side length of the periodic unit, H1 is the length of the short side, H2 is the length of the long side, R is the radius of the central disk, and Hs is the distance between the frequency selective surface layers.
表3Table 3
在准光链路系统中,考虑到光路布局和元器件的摆放位置,一般波束非正入射到频率选择表面。设置TE波为激励信号入射到45GHz和220GHz频率选择表面,并在仿真程序中依次设置了0deg、15deg、30deg和45deg的入射角度,计算其反射系数和透射系数。双层的频率选择表面结构提供了距离相近的两个谐振点,有效增加了带宽。45GHz频率选择表面-10dB带宽约为5GHz,220GHz频率选择表面-10dB带宽约为30GHz。随着入射角度的增大,通带中心反射系数略微增大,但仍在-10dB以下,表现出良好的大入射角性能。In quasi-optical link systems, considering the optical path layout and the placement of components, the general beam is not normally incident on the frequency selective surface. The TE wave is set as the excitation signal to be incident on the 45GHz and 220GHz frequency selective surfaces, and the incident angles of 0deg, 15deg, 30deg and 45deg are set in the simulation program in turn to calculate the reflection coefficient and transmission coefficient. The double-layer frequency selective surface structure provides two resonance points with close distances, which effectively increases the bandwidth. The -10dB bandwidth of the 45GHz frequency selective surface is about 5GHz, and the -10dB bandwidth of the 220GHz frequency selective surface is about 30GHz. As the incident angle increases, the reflection coefficient at the center of the passband increases slightly, but is still below -10dB, showing good large incident angle performance.
线极化栅原理图如图4所示。线极化栅能够分离或合成垂直极化波束和水平极化波束,从而实现多极化的设计需求。一般,入射波束为垂直极化和水平极化波束,透射波束为垂直极化波束,反射波束为水平极化波束。一般情况下,g<λ/4、c<λ/10的无衬底的线极化栅金属丝即可满足准光链路指标。其中c为金属线宽,g为金属线间距。The principle diagram of the linear polarization grating is shown in Figure 4. The linear polarization grating can separate or synthesize vertical polarization beams and horizontal polarization beams, thereby realizing the design requirements of multi-polarization. Generally, the incident beam is a vertically polarized beam and a horizontally polarized beam, the transmitted beam is a vertically polarized beam, and the reflected beam is a horizontally polarized beam. In general, a substrate-free linear polarization grating metal wire with g<λ/4 and c<λ/10 can meet the quasi-optical link indicators. Where c is the metal wire width and g is the metal wire spacing.
椭球金属反射面的设计步骤如图5所示。首先,根据入射波束参数确定出射波束参数。在准光链路系统中设计反射面时,通常确定入射波束和出射波束的夹角θi为定值。同时,入射波束的工作波长λ(即馈源中心波长)、共焦距离zc、束腰ω0in和束腰距椭球面镜的距离din均已知。若待求出射波束束腰为ω0out,则根据式:The design steps of the ellipsoidal metal reflector are shown in Figure 5. First, the outgoing beam parameters are determined according to the incident beam parameters. When designing a reflector in a quasi-optical link system, the angle θi between the incident beam and the outgoing beam is usually determined to be a constant. At the same time, the operating wavelength λ of the incident beam (i.e., the center wavelength of the feed source), the confocal distance zc , the beam waist ω0in , and the distance din from the beam waist to the ellipsoidal mirror are all known. If the outgoing beam waist to be determined is ω0out , then according to the formula:
可求出椭球面镜的等效焦距fe,进而根据下式:The equivalent focal length fe of the ellipsoidal mirror can be calculated, and then according to the following formula:
求出出射波束的束腰距椭球面镜的距离dout。Find the distance d out from the waist of the outgoing beam to the ellipsoidal mirror.
其次,根据入射波束和出射波束确定椭球面具体参数。当入射波束与出射波束与椭球面镜的匹配时,R1=Rin,其中R1为入射焦点到反射点的距离,Rin为入射波束曲率半径。最后,根据2ω准则对椭球面镜进行截取,即可完成反射面设计。其中ω为反射面处的波束半径,当截取镜面半径大于两倍波束半径时,能够囊括99.99%的波束能量。Secondly, the specific parameters of the ellipsoidal surface are determined according to the incident beam and the outgoing beam. When the incident beam and the outgoing beam match the ellipsoidal mirror, R1 = R in , where R 1 is the distance from the incident focus to the reflection point, and R in is the radius of curvature of the incident beam. Finally, the ellipsoidal mirror is intercepted according to the 2ω criterion to complete the design of the reflective surface. Where ω is the beam radius at the reflective surface. When the intercepted mirror radius is greater than twice the beam radius, 99.99% of the beam energy can be included.
经过准光链路系统后三通道波束均未发散,且将束腰汇聚到同一位置,相位保持良好,这为后续反射面天线设计提供了极大的便利。After passing through the quasi-optical link system, the three-channel beams did not diverge, and the beam waists were converged to the same position, with the phase maintained well, which greatly facilitated the subsequent reflector antenna design.
下面结合附图以及具体实施方式进一步说明本系统如何进行优化。The following further illustrates how the system is optimized in conjunction with the accompanying drawings and specific implementation methods.
S1、测量前端准光链路输出波束的束腰宽度和等效束腰位置,参见表4(输出波束参数表)。S1. Measure the beam waist width and equivalent beam waist position of the output beam of the front-end quasi-optical link, see Table 4 (output beam parameter table).
表4Table 4
S2、利用傅里叶级数将主反射面母线进行有限项展开,其中,a0至a10为傅里叶展开系数,参见表5(傅里叶展开系数表)。S2. Expand the main reflection surface generatrix by finite terms using Fourier series, where a0 to a10 are Fourier expansion coefficients, see Table 5 (Fourier expansion coefficient table).
表5Table 5
S3、利用编程语言在电磁仿真软件中实现电磁建模;S3. Use programming languages to implement electromagnetic modeling in electromagnetic simulation software;
S4、根据目标扫描角度、等效馈源位置和等效束腰宽度设定适应度函数;S4, setting a fitness function according to the target scanning angle, equivalent feed position and equivalent beam waist width;
S5、利用遗传算法与电磁仿真分析不断调整傅里叶展开系数,如图6所示,包括:使用专用程序控制电磁仿真软件计算远场方向图;根据远场方向图计算适应度函数值;将适应度函数值回带入遗传算法;根据遗传算法调整展开系数;依据展开系数利用专用程序再次计算远场方向图,不断循环优化。S5. Continuously adjust the Fourier expansion coefficients using genetic algorithms and electromagnetic simulation analysis, as shown in FIG6 , including: using a dedicated program to control electromagnetic simulation software to calculate the far-field pattern; calculating the fitness function value based on the far-field pattern; bringing the fitness function value back into the genetic algorithm; adjusting the expansion coefficients based on the genetic algorithm; and calculating the far-field pattern again based on the expansion coefficients using a dedicated program, and continuously optimizing in a cycle.
S6、当适应度函数取得最小值时优化停止,保留优化后的展开系数。将优化后的展开系数再进行仿真,可验证有效倍增了波束扫描角度,如图7所示。S6. When the fitness function reaches the minimum value, the optimization stops and the optimized expansion coefficient is retained. The optimized expansion coefficient is simulated again to verify that the beam scanning angle is effectively doubled, as shown in FIG7.
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