Antonio Manuel Huéscar de la Cruz;Antonio Oliva Aparicio;Fernando D. Quesada Pereira;Alejandro Álvarez Melcón;Vicente E. Boria Esbert
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Subsequently, an equivalent surface magnetic current density (<inline-formula><tex-math>$\\vec{\\mathrm{\\mathbf{M}}}_{\\text{ap}}$</tex-math></inline-formula>) defined at the discontinuity is used to connect the equivalent problems of each rectangular waveguide. In order to reduce the number of unknowns, the Lorenz gauge Green's functions of rectangular waveguides and their spatial derivatives are used to model the boundary conditions. In addition, the Ewald method has been employed to significantly speed up the evaluation of these rectangular waveguide Green's functions. Therefore, the use of this surface magnetic current density can reduce in some configurations the number of unknowns compared to an alternative Electric Field Integral Equation (EFIE). In addition, it allows a simpler analysis of some kind of discontinuities with respect to an EFIE method. Finally, the proposed technique has been validated by comparison with the results provided by commercial full-wave software tools such as Ansys HFSS and CST Studio Suite, showing good agreement and a better numerical efficiency.","PeriodicalId":93296,"journal":{"name":"IEEE journal of microwaves","volume":"5 3","pages":"739-749"},"PeriodicalIF":4.9000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10975046","citationCount":"0","resultStr":"{\"title\":\"Efficient Integral Equation Analysis of Arbitrarily Shaped Rectangular Waveguide Discontinuities Including Conducting Objects\",\"authors\":\"Antonio Manuel Huéscar de la Cruz;Antonio Oliva Aparicio;Fernando D. Quesada Pereira;Alejandro Álvarez Melcón;Vicente E. Boria Esbert\",\"doi\":\"10.1109/JMW.2025.3559355\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this contribution, an Integral Equation (IE) formulation is proposed for the analysis of microwave circuits, based on the junction of two different rectangular waveguides coupled by an arbitrarily shaped zero thickness discontinuity. These rectangular waveguides could include an unlimited number of conducting elements with arbitrary shapes inside them. To solve the IE, the problem is split into two equivalent subproblems, each of which is related to a rectangular waveguide. Subsequently, an equivalent surface magnetic current density (<inline-formula><tex-math>$\\\\vec{\\\\mathrm{\\\\mathbf{M}}}_{\\\\text{ap}}$</tex-math></inline-formula>) defined at the discontinuity is used to connect the equivalent problems of each rectangular waveguide. 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引用次数: 0
摘要
在这篇贡献中,基于任意形状的零厚度不连续耦合的两个不同矩形波导的结,提出了一个用于分析微波电路的积分方程(IE)公式。这些矩形波导可以包含无限数量的内部形状任意的导电元件。为了解决IE,这个问题被分成两个等价的子问题,每个子问题都与矩形波导有关。随后,利用在不连续点处定义的等效表面磁电流密度$\vec{\ mathm {\mathbf{M}}}_{\text{ap}}$来连接各矩形波导的等效问题。为了减少未知量,采用矩形波导的洛伦兹规范格林函数及其空间导数来模拟边界条件。此外,采用Ewald方法显著加快了矩形波导格林函数的计算速度。因此,与另一种电场积分方程(EFIE)相比,使用这种表面磁流密度可以在某些配置中减少未知数的数量。此外,它还允许用EFIE方法对某种不连续点进行更简单的分析。最后,通过与Ansys HFSS和CST Studio Suite等商用全波软件工具提供的结果进行对比,验证了所提方法的正确性和数值效率。
Efficient Integral Equation Analysis of Arbitrarily Shaped Rectangular Waveguide Discontinuities Including Conducting Objects
In this contribution, an Integral Equation (IE) formulation is proposed for the analysis of microwave circuits, based on the junction of two different rectangular waveguides coupled by an arbitrarily shaped zero thickness discontinuity. These rectangular waveguides could include an unlimited number of conducting elements with arbitrary shapes inside them. To solve the IE, the problem is split into two equivalent subproblems, each of which is related to a rectangular waveguide. Subsequently, an equivalent surface magnetic current density ($\vec{\mathrm{\mathbf{M}}}_{\text{ap}}$) defined at the discontinuity is used to connect the equivalent problems of each rectangular waveguide. In order to reduce the number of unknowns, the Lorenz gauge Green's functions of rectangular waveguides and their spatial derivatives are used to model the boundary conditions. In addition, the Ewald method has been employed to significantly speed up the evaluation of these rectangular waveguide Green's functions. Therefore, the use of this surface magnetic current density can reduce in some configurations the number of unknowns compared to an alternative Electric Field Integral Equation (EFIE). In addition, it allows a simpler analysis of some kind of discontinuities with respect to an EFIE method. Finally, the proposed technique has been validated by comparison with the results provided by commercial full-wave software tools such as Ansys HFSS and CST Studio Suite, showing good agreement and a better numerical efficiency.