模式匹配法及其在微波窗中的應用研究
發(fā)布時間：2018-09-12 19:49
【摘要】：模式匹配法(MMM)是建立在廣義傳輸線理論之上、基于場理論的全波分析方法。目前,模式匹配法已經(jīng)發(fā)展到了嚴格的場解析階段,具有計算速度快、求解精度高和消耗計算機內(nèi)存小的優(yōu)點,成功應用于濾波器、耦合器、阻抗轉(zhuǎn)換器、模式轉(zhuǎn)換器、天線、多工器、功率分配器、反饋網(wǎng)絡、移相器、偏光器、補償彎波導、本征值問題以及手征介質(zhì)的特性分析中。微波窗作為輸入輸出系統(tǒng)的重要組成部分,也是高功率微波系統(tǒng)的一個重要無源器件,它除了真空密封作用外,還具有饋送能量、透射微波、降低反射等作用,其質(zhì)量好壞直接影響微波器件的電參數(shù)及其壽命。本文對模式匹配法及其在微波窗的應用進行了深入研究。對模式匹配法進行了詳細的理論分析和解析推導,重點對S參數(shù)計算、相對收斂性、復功率守恒與電磁場匹配進行了理論分析與數(shù)值驗證。應用模式匹配法對微波管中常見的四類窗結構(膜片加載矩形波導窗、多層介質(zhì)圓波導窗、同軸窗和高功率盒型窗)進行了仿真設計,在高精度的前提下大大縮短了窗的設計周期。本論文的主要工作內(nèi)容和創(chuàng)新點如下:1、系統(tǒng)深入地研究了模式匹配法,利用電磁場邊界條件,建立了5種突變結(矩形-矩形、圓-圓、同軸-同軸、大矩-小圓、大圓-小矩)的廣義散射矩陣。利用格林公式、離散傅里葉變換、坐標系轉(zhuǎn)換以及歸一化正交性等原理,推導出了這5類突變結上的模式之間的耦合矩陣解析解。2、利用矩陣級聯(lián)理論以及傳輸線理論,推導出規(guī)則無源器件模型的廣義散射矩陣的解析計算公式�；贛ATLAB語言編寫了模式匹配法程序包MMMS,并對模式匹配法的相對收斂性進行了研究。3、在模式匹配法的框架下,推導了各個模式在無源器件內(nèi)傳輸?shù)墓β史认禂?shù),得到了無源器件在頻帶內(nèi)任意截面的復功率,以及整個三維空間任意頻點的電磁場分布。驗證了電磁波傳播過程中的復功率守恒與電磁場匹配。4、應用模式匹配法對4類常見微波窗進行了仿真設計,計算結果與三維電磁場數(shù)值模擬軟件HFSS、CST、MTSS得到的模擬結果非常吻合,驗證了模式匹配法相關理論推導與程序代碼的正確性與可靠性。
[Abstract]:Mode matching method (MMM) is a full wave analysis method based on field theory and based on generalized transmission line theory. At present, the mode matching method has been developed to a strict field analysis stage, with the advantages of fast calculation speed, high accuracy and low memory consumption. It has been successfully applied to filters, couplers, impedance converters, mode converters, antennas, etc. In the analysis of multiplexer, power divider, feedback network, phase shifter, polarizer, compensated curved waveguide, eigenvalue problem and chiral medium. As an important part of input and output system, microwave window is also an important passive device in high power microwave system. In addition to vacuum sealing, microwave window also has the functions of feeding energy, transmitting microwave, reducing reflection and so on. Its quality directly affects the electrical parameters and lifetime of microwave devices. In this paper, the pattern matching method and its application in microwave window are studied. The theoretical analysis and analytical derivation of the pattern matching method are carried out in detail, and the theoretical analysis and numerical verification of S parameter calculation, relative convergence, complex power conservation and electromagnetic field matching are carried out. Four kinds of window structures (diaphragm loaded rectangular waveguide window, multilayer dielectric circular waveguide window, coaxial window and high power box window) are simulated and designed by mode matching method. On the premise of high precision, the design cycle of window is shortened greatly. The main contents and innovations of this thesis are as follows: 1. The pattern matching method is studied systematically and five abrupt junctions (rectangular rectangle, circular circle, coaxial, large moment and small circle) are established by using the boundary condition of electromagnetic field. The generalized scattering matrix of large circle and small moment. Based on Green's formula, discrete Fourier transform, coordinate system transformation and normalized orthogonality, the analytical solution of coupling matrix between the modes on these five kinds of abrupt junctions is derived, and the matrix cascade theory and transmission line theory are used. An analytical formula for the generalized scattering matrix of a regular passive device model is derived. Based on MATLAB language, the program package of pattern matching method (MMMS,) is written and the relative convergence of pattern matching method is studied. In the framework of pattern matching method, the power amplitude coefficients of each mode in passive devices are deduced. The complex power of passive devices with arbitrary cross section in the frequency band and the electromagnetic field distribution at any frequency point in the whole three-dimensional space are obtained. It is verified that the conservation of complex power and the matching of electromagnetic field during electromagnetic wave propagation. The simulation design of four kinds of common microwave windows is carried out by using the mode matching method. The calculated results are in good agreement with the simulation results obtained by the three-dimensional electromagnetic field numerical simulation software HFSS,CST,MTSS. The correctness and reliability of the related theoretical derivation and program code of the pattern matching method are verified.
【學位授予單位】：電子科技大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN103
本文編號：2240049
[Abstract]:Mode matching method (MMM) is a full wave analysis method based on field theory and based on generalized transmission line theory. At present, the mode matching method has been developed to a strict field analysis stage, with the advantages of fast calculation speed, high accuracy and low memory consumption. It has been successfully applied to filters, couplers, impedance converters, mode converters, antennas, etc. In the analysis of multiplexer, power divider, feedback network, phase shifter, polarizer, compensated curved waveguide, eigenvalue problem and chiral medium. As an important part of input and output system, microwave window is also an important passive device in high power microwave system. In addition to vacuum sealing, microwave window also has the functions of feeding energy, transmitting microwave, reducing reflection and so on. Its quality directly affects the electrical parameters and lifetime of microwave devices. In this paper, the pattern matching method and its application in microwave window are studied. The theoretical analysis and analytical derivation of the pattern matching method are carried out in detail, and the theoretical analysis and numerical verification of S parameter calculation, relative convergence, complex power conservation and electromagnetic field matching are carried out. Four kinds of window structures (diaphragm loaded rectangular waveguide window, multilayer dielectric circular waveguide window, coaxial window and high power box window) are simulated and designed by mode matching method. On the premise of high precision, the design cycle of window is shortened greatly. The main contents and innovations of this thesis are as follows: 1. The pattern matching method is studied systematically and five abrupt junctions (rectangular rectangle, circular circle, coaxial, large moment and small circle) are established by using the boundary condition of electromagnetic field. The generalized scattering matrix of large circle and small moment. Based on Green's formula, discrete Fourier transform, coordinate system transformation and normalized orthogonality, the analytical solution of coupling matrix between the modes on these five kinds of abrupt junctions is derived, and the matrix cascade theory and transmission line theory are used. An analytical formula for the generalized scattering matrix of a regular passive device model is derived. Based on MATLAB language, the program package of pattern matching method (MMMS,) is written and the relative convergence of pattern matching method is studied. In the framework of pattern matching method, the power amplitude coefficients of each mode in passive devices are deduced. The complex power of passive devices with arbitrary cross section in the frequency band and the electromagnetic field distribution at any frequency point in the whole three-dimensional space are obtained. It is verified that the conservation of complex power and the matching of electromagnetic field during electromagnetic wave propagation. The simulation design of four kinds of common microwave windows is carried out by using the mode matching method. The calculated results are in good agreement with the simulation results obtained by the three-dimensional electromagnetic field numerical simulation software HFSS,CST,MTSS. The correctness and reliability of the related theoretical derivation and program code of the pattern matching method are verified.
【學位授予單位】：電子科技大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN103
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