scholarly journals Electromagnetic Scattering of an Arbitrary Plane Wave by Two Nonintersecting Perpendicular Wire Grids

1974 ◽  
Vol 52 (3) ◽  
pp. 227-237 ◽  
Author(s):  
D. A. Hill ◽  
J. R. Wait
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Linear Equations ◽  
Matrix Inversion ◽  
Numerical Results ◽  
Arbitrary Polarization ◽  
Transmission Coefficients ◽  
Planar Arrays ◽  
Arbitrary Plane ◽  
Infinite Set

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.

Electromagnetic scattering of an arbitrary plane wave by a wire mesh with bonded junctions

1976 ◽  
Vol 54 (4) ◽  
pp. 353-361 ◽  
Author(s):  
D. A. Hill ◽  
J. R. Wait
Keyword(s):  
Electromagnetic Scattering ◽  
Linear Equations ◽  
Wire Mesh ◽  
Junction Conditions ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Arbitrary Plane ◽  
Infinite Set ◽  
Discontinuity Conditions ◽  
Current Representation

A doubly infinite set of linear equations for the currents has been found valid for a wire mesh with bonded junctions without imposing any junction conditions. However, the convergence of the solution is greatly improved by building junction discontinuity conditions into the current representation. Using such a modified solution, numerical results are generated to illustrate the dependence of reflection and transmission coefficients on various parameters.

scholarly journals Electromagnetic Scattering from Surfaces with Curved Wedges Using the Method of Auxiliary Sources (MAS)

2020 ◽  
Vol 10 (7) ◽  
pp. 2309 ◽  
Author(s):  
Vissarion G. Iatropoulos ◽  
Minodora-Tatiani Anastasiadou ◽  
Hristos T. Anastassiu
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Wave Scattering ◽  
Transverse Magnetic ◽  
Numerical Results ◽  
Circular Arcs ◽  
Artificial Surface ◽  
Method Of Auxiliary Sources ◽  
Plane Wave Scattering ◽  
Auxiliary Source

The method of auxiliary sources (MAS) is utilized in the analysis of Transverse Magnetic (TM) plane wave scattering from infinite, conducting, or dielectric cylinders, including curved wedges. The latter are defined as intersections of circular arcs. The artificial surface, including the auxiliary sources, is shaped in various patterns to study the effect of its form on the MAS accuracy. In juxtaposition with the standard, conformal shape, several deformations are tested, where the auxiliary sources are forced to approach the tip of the wedge. It is shown that such a procedure significantly improves the accuracy of the numerical results. Comparisons of schemes are presented, and the optimal auxiliary source location is proposed.

scholarly journals The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Bülent Yılmaz
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Radiation Condition ◽  
Higher Order ◽  
Numerical Results ◽  
Surface Radiation ◽  
Far Field ◽  
Condition Method ◽  
Radiation Conditions

The specific case of scattering of a plane wave by a two-layered penetrable eccentric circular cylinder has been considered and it is about the validity of the on surface radiation condition method and its applications to the scattering of a plane wave by a two-layered penetrable eccentric circular cylinder. The transformation of the problem of scattering by the eccentric circular cylinder to the problem of scattering by the concentric circular cylinder by using higher order radiation conditions, is observed. Numerical results presented the magnitude of the far field.

On the Stresses in a Notched Strip

1952 ◽  
Vol 19 (2) ◽  
pp. 141-146
Author(s):  
Chih-Bing Ling
Keyword(s):  
Infinite System ◽  
Linear Equations ◽  
Numerical Results ◽  
Theoretical Solution ◽  
Experimental Results ◽  
System Of Linear Equations ◽  
Transverse Bending ◽  
Longitudinal Tension

Abstract In a previous paper by the author (1), a theoretical solution for a notched strip under longitudinal tension is given. The result demands the solution of an infinite system of linear equations. A considerable amount of labor is involved in solving such a system. It seems, however, that the labor can be diminished by adapting to the solution a process known as the promotion of rank. In this paper such a process is described and then applied to solve the problem of a notched strip under transverse bending. The solution of this problem seems also to be new. The numerical results obtained are compared graphically with the experimental results available.

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