Wiener–Hopf analysis of the parallel plate wave guide with opposing rectangular dielectric-filled grooves

2008 ◽  
Vol 86 (5) ◽  
pp. 733-745 ◽  
Author(s):  
I H Tayyar ◽  
A Büyükaksoy ◽  
A Işıkyer
Keyword(s):  
Parallel Plate ◽  
Mixed Boundary ◽  
Dielectric Materials ◽  
Wave Guide ◽  
Algebraic Equations ◽  
Plate Wave ◽  
Linear Algebraic Equations ◽  
Band Stop Filter ◽  
Analytical Properties ◽  
Different Depths

The purpose of the present work is to provide a rigorous analysis of the parallel plate wave guide with two opposing rectangular grooves of different depths and filled with different dielectric materials. This configuration may be used as a band-stop filter. The representation of the solution to the three-part mixed boundary-value problem in terms of Fourier integrals leads to a couple of simultaneous modified Wiener–Hopf equations. By using the analytical properties of the functions that occur, the simultaneous modified Wiener–Hopf equations are reduced to the solution of four infinite systems of linear algebraic equations. These systems are solved numerically, and the band-stop filter characteristics of the reflection coefficient are studied in terms of frequency, groove sizes, and the parameters of the filling dielectric material.PACS Nos.: 42.25.Bs, 42.25.Gy, 42.82.Et

Analysis of mode conversion phenomena in a non-uniform parallel plate wave guide (Summary)

Radio Science ◽  
1982 ◽  
Vol 17 (2) ◽  
pp. 337-338 ◽  
Author(s):  
Denis M. Henrot ◽  
James R. Wait
Keyword(s):  
Parallel Plate ◽  
Mode Conversion ◽  
Wave Guide ◽  
Plate Wave

Multi-Modal Transient Excitation Effects in an Infinite, Parallel-Plate Wave Guide

1972 ◽  
Vol 50 (22) ◽  
pp. 2826-2835 ◽  
Author(s):  
D. G. Dudley ◽  
J. P. Quintenz
Keyword(s):  
Frequency Domain ◽  
Parallel Plate ◽  
Delta Function ◽  
Step Function ◽  
Higher Order ◽  
Wave Guide ◽  
Order Mode ◽  
Plate Wave ◽  
Mode Effects ◽  
Higher Order Mode

An analysis of higher-order mode effects in a parallel-plate wave guide is presented. Green's functions for the wave guide are derived in the frequency domain which can be inverted analytically to give the step function response for the TM modes and the delta function response for the TE modes. Plots of the responses are given for different excitation functions and the results are interpreted physically at various locations in the structure.

scholarly journals FINITE AND INFINITE H-PLANE BIFURCATION OF A WAVE GUIDE WITH ANISOTROPIC PLASMA MEDIUM

1965 ◽  
Vol 43 (12) ◽  
pp. 2123-2135 ◽  
Author(s):  
S. W. Lee ◽  
Y. T. Lo ◽  
R. Mittra
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Parallel Plate ◽  
Anisotropic Plasma ◽  
Wave Guide ◽  
Plasma Medium ◽  
Plate Wave ◽  
Complete Field

In this paper, the problem of H-plane bifurcation in a parallel-plate wave guide filled with homogeneous, anisotropic, incompressible plasma is considered. The static magnetic field is assumed to be along the edge of the septum. By using the Wiener–Hopf technique, the complete field solutions are obtained for both semi-infinite and finite bifurcations.

scholarly journals Dynamic Analysis of a Shallow Buried Tunnel Influenced by a Neighboring Semi-cylindrical Hill and Semi-cylindrical Canyon

2019 ◽  
Author(s):  
Xiaotang Lv ◽  
Cuiling Ma ◽  
Meixiang Fang
Keyword(s):  
Stress Concentration ◽  
Dynamic Analysis ◽  
Half Space ◽  
Dynamic Stress ◽  
Mixed Boundary ◽  
Scattered Wave ◽  
Dynamic Stress Concentration ◽  
Algebraic Equations ◽  
Sh Waves ◽  
Linear Algebraic Equations

This paper provides a dynamic analysis of the response of a subsurface cylindrical tunnel to SH waves influenced by a neighboring semi-cylindrical hill and semi-cylindrical canyon in half-space using complex functions. For convenience in finding a solution, the half-space is divided into two parts and the scattered wave functions are constructed in both parts. Then the mixed boundary conditions are satisfied by moving coordinates. Finally, the problem is reduced to solving a set of infinite linear algebraic equations, for which the unknown coefficients are obtained by truncation of the infinite set of equations. The effects of the incident angles and frequencies of SH waves, as well as of the radius of the tunnel, hill, and canyon on the dynamic stress concentration of the tunnel are studied. The results show that the hill and canyon have a significant effect on the dynamic stress concentration of the tunnel.

scholarly journals Algorithm for using the boundary element method on the example of a mixed boundary value problem for the Poisson equation

2018 ◽  
Author(s):  
L. T. Boyko
Keyword(s):  
Integral Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Boundary Element ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Normal Derivative ◽  
Algebraic Equations ◽  
Boundary Contour ◽  
Linear Algebraic Equations

The possibilities of the algorithm for applying the boundary element method to solving boundary value problems are discussed on the example of the two-dimensional Poisson differential equation. The algorithm does not change significantly when the type of boundary conditions changes: the Dirichlet problem, the Neumann problem, or a mixed boundary value problem. The idea of the algorithm is taken from the work of John T. Katsikadelis [1]. The algorithm is described in detail in the next sequence of actions. 1) The boundary- value problem for a two-dimensional finite domain is formulated. The desired function in the domain, its values, and its normal derivative on the boundary contour are connected by means of the second Green formula. 2) We pass from the boundary value problem for the Poisson equation to the boundary value problem for the Laplace equation. This simplifies the process of constructing an integral equation. We obtain the integral equation on the boundary contour using the boundary conditions. 3) In the integral equation, we divide the boundary contour into a finite number of boundary elements. The desired function and its normal derivative are considered constant values on each boundary element. We compose a system of linear algebraic equations considering these values. 4) We modify the system of linear algebraic equations taking into account the boundary conditions. After that, we solve it using the Gauss method. The computer program has been developed according to the developed algorithm. We used it in the learning process. The software implementation of the algorithm takes into account the capabilities of modern computer technology and modern needs of the educational process. The work of the program is shown in the test case. Further modification of the described algorithm is possible

scholarly journals Analysis of a Coaxial Waveguide with Finite-Length Impedance Loadings in the Inner and Outer Conductors

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Feray Hacıvelioğlu ◽  
Alinur Büyükaksoy
Keyword(s):  
Reflection Coefficient ◽  
Boundary Value Problem ◽  
Finite Length ◽  
Formal Solution ◽  
Coaxial Waveguide ◽  
Algebraic Equations ◽  
Coaxial Cylinders ◽  
Infinite Systems ◽  
Linear Algebraic Equations ◽  
Band Stop Filter

A rigorous Wiener-Hopf approach is used to investigate the band stop filter characteristics of a coaxial waveguide with finite-length impedance loading. The representation of the solution to the boundary-value problem in terms of Fourier integrals leads to two simultaneous modified Wiener-Hopf equations whose formal solution is obtained by using the factorization and decomposition procedures. The solution involves 16 infinite sets of unknown coefficients satisfying 16 infinite systems of linear algebraic equations. These systems are solved numerically and some graphical results showing the influence of the spacing between the coaxial cylinders, the surface impedances, and the length of the impedance loadings on the reflection coefficient are presented.

On Improved Approximate Solution of the Fredholm Integral Equation

2006 ◽  
Vol 6 (3) ◽  
pp. 264-268
Author(s):  
G. Berikelashvili ◽  
G. Karkarashvili
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Fredholm Integral Equation ◽  
Algebraic Equations ◽  
Order Convergence ◽  
One Dimensional ◽  
Averaging Operator ◽  
Linear Algebraic Equations ◽  
Convergence Solution

AbstractA method of approximate solution of the linear one-dimensional Fredholm integral equation of the second kind is constructed. With the help of the Steklov averaging operator the integral equation is approximated by a system of linear algebraic equations. On the basis of the approximation used an increased order convergence solution has been obtained.

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