A generalized compact 2-D FDTD model for the analysis of guided modes of anisotropic waveguides with arbitrary tensor permittivity

1998 ◽  
Vol 18 (1) ◽  
pp. 17-23 ◽  
Author(s):  
An Ping Zhao ◽  
Jaakko Juntunen ◽  
Antti V. R�is�nen
Keyword(s):  
Guided Modes ◽  
Arbitrary Tensor ◽  
Tensor Permittivity

ON DIFFRACTION BY A HALF-PLANE IN AN ARBITRARY ANISOTROPIC MEDIUM

1967 ◽  
Vol 45 (8) ◽  
pp. 2561-2579 ◽  
Author(s):  
R. A. Hurd
Keyword(s):  
Plane Wave ◽  
Half Plane ◽  
Kernel Matrix ◽  
Polynomial Matrices ◽  
Correct Form ◽  
Complete Listing ◽  
Arbitrary Plane ◽  
Solvable Problems ◽  
Arbitrary Tensor ◽  
Tensor Permittivity

A method of uncoupling simultaneous Wiener–Hopf equations is developed. If the kernel-matrix G of the equations has the form G = Γ1(A + Γ1B), where Γ1, Γ2 are scalars and A and B are polynomial matrices, then the method works if the elements of A and B satisfy a certain equation called the "criterion".The method is applied to the diffraction of an arbitrary plane wave by a conducting half-plane in a medium with arbitrary tensor permittivity. It is found that in certain circumstances, G has the correct form Γ1(A + Γ2B). Application of the criterion then yields in principle a catalogue of solvable problems. In practice a complete listing has not been obtained because of the amount of algebra involved. However, a partial catalogue has been prepared. It includes most of the previously solved problems plus one or two which have not yet been considered. An example is briefly considered.

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