Non-reflecting boundary conditions for solving Maxwell's equations in waveguides

被引：0

作者：

Aregba-Driollet, Denise ^{[1
]}

Lacoste, Patrick ^{[2
]}

Prigent, Corentin ^{[3
]}

机构：

[1] Univ Bordeaux, CNRS, UMR 5251, Bordeaux INP,IMB, F-33400 Talence, France

[2] CESTA, CEA, 15 Ave sablieres CS 6001, F-33116 Le Barp, France

[3] INRIA Carmen Bordeaux Sud Ouest, 200 Ave Vieille Tour, F-33405 Talence, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 466卷

关键词：

Maxwell's equation; Electromagnetics; Wave propagation and scattering; Waveguides; Finite element; Dirichlet-to-Neumann operator; Reflection and transmission coefficients; Biperiodic structures; PERFECTLY MATCHED LAYER; FINITE-ELEMENT-METHOD; SCATTERING MATRICES; TRACES;

D O I：

10.1016/j.cam.2025.116598

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present here a method for solving the electromagnetic wave-matter interaction, on the one hand in closed waveguides, single or multi-port, and on the other hand with infinite materials periodic in two directions. In this presentation, the guides are coaxial or rectangular, but extension to any regular guide section is straightforward. This paper presents a method for solving Maxwell's equations in real or virtual waveguides, using a decomposition of the DtN operator, and also introduces an adapted basis of the solution space based on a variational formulation. Finally, 2D axisymmetric and 3D finite elements are used. The text presents a number of resolutions of guided plane-wave scattering problems in a material, confirming the validity of the method and its generality.

引用

页数：22

共 58 条

[1]

ABBOUD T, 1993, CR ACAD SCI I-MATH, V317, P245

[2]

Abboud T., 1993, 2 INT C MATH NUMERIC, P1

[3] TEM Wave Scattering by a Step Discontinuity on the Outer Wall of a Coaxial Waveguide [J].

Aksimsek, Sinan ;

Cinar, Gokhan ;

Nilsson, Borje ;

Nordebo, Sven .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2013, 61 (08) :2783-2791

[4] Some remarks on the characterization of the space of tangential traces of H(rot;Omega) and the construction of an extension operator [J].

Alonso, A ;

Valli, A .

MANUSCRIPTA MATHEMATICA, 1996, 89 (02) :159-178

[5]

[Anonymous], 1997, Perfectly matched layers for the convected Helmholtz equation

[6] MODELING MULTIPORT USING A 3-DIMENSIONAL COUPLED ANALYTICAL FINITE-ELEMENT METHOD APPLICATION TO MICROWAVE CHARACTERIZATION OF MATERIAL [J].

AREGBA, D ;

GAY, J ;

MAZEMERCEUR, G .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1994, 42 (04) :590-594

[7] On the scattering by a biperiodic structure [J].

Bao, G ;

Dobson, DC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (09) :2715-2723

[8] Variational approximation of Maxwell's equations in biperiodic structures [J].

Bao, G .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (02) :364-381

[9] Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides [J].

Baronian, Vahan ;

Bonnet-Ben Dhia, Anne-Sophie ;

Fliss, Sonia ;

Tonnoir, Antoine .

WAVE MOTION, 2016, 64 :13-33

[10] RADIATION BOUNDARY-CONDITIONS FOR WAVE-LIKE EQUATIONS [J].

BAYLISS, A ;

TURKEL, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) :707-725

← 1 2 3 4 5 6 →