Scattering of an Arbitrary Plane Wave by an Infinite Strip Grating Loaded with a Pair of Dielectric Slabs

1993 ◽  
Vol 7 (6) ◽  
pp. 791-809 ◽  
Author(s):  
A. Matsushima ◽  
T. Fujimura ◽  
T. Itakura
1967 ◽  
Vol 45 (8) ◽  
pp. 2561-2579 ◽  
Author(s):  
R. A. Hurd

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.


1982 ◽  
Vol 25 (10) ◽  
pp. 960-965 ◽  
Author(s):  
Yu. I. Klimenko ◽  
O. S. Pavlova ◽  
B. A. Lysov ◽  
�. Yu. Klimenko

1985 ◽  
Vol 28 (12) ◽  
pp. 972-976 ◽  
Author(s):  
Yu. I. Klimenko ◽  
O. S. Pavlova ◽  
�. Yu. Klimenko

1974 ◽  
Vol 52 (3) ◽  
pp. 227-237 ◽  
Author(s):  
D. A. Hill ◽  
J. R. Wait

A doubly infinite set of linear equations is derived for the currents excited on the pair of planar wire grids by a plane wave of arbitrary polarization. The equations can be solved by perturbation if the two planar arrays are sufficiently separated or by truncation and matrix inversion otherwise. The transmission coefficients are derived including the cross-polarized components, and numerical results are presented to illustrate the effects of various parameters.


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