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Title of Thesis

Diffraction Of Electromagnetic Plane Waves From Strips And Slits Using The Method Of Kobayashi Potential

Author(s)

M.Amjad Imran

Institute/University/Department Details
Department of Electronics / Quaid-i-Azam University, Islamabad
Session
2010
Subject
Electronics
Number of Pages
102
Keywords (Extracted from title, table of contents and abstract of thesis)
Kobayashi, Diffraction, Geometry, Scattering, Electromagnetic, Matrix, Strips, Numerically, Potential, Method, Slits, Waves, Plane, Electrically

Abstract
Kobayashi potential method has successfully been applied to potential as well as scattering geometries containing perfect electrically conducting (PEC) objects by many investigators. The purpose of present study is to extend Kobayashi potential method to study the scattering from non-PEC objects hence, to enhance the applicability of the method. First, geometries containing strip are considered and diffracted fields have been determined from an impedance strip, from a strip placed at dielectric slab and from a
perfectly electromagnetic conducting (PEMC) strip. Then slit geometries are included. And studies are conducted to analyze the diffraction from an impedance slit placed at the interface of two different media, from two parallel slits in an impedance plane and from a slit in PEMC plane.
While applying this method to above type of problems, diffracted fields are considered in terms of unknown weighting functions. Imposition of boundary conditions give dual integral equations. These dual integral equations are then used to decide the nature of weighting functions by using the discontinuous properties of Weber-Schafheitlin’s integral. Edge conditions are also taken into account at this moment. Finally, matrix equations are obtained to evaluate the expansion coefficients. The elements of these matrix equations are the infinite integrals and are usually, very complex in nature and hard to solve analytically. So these integrals and the matrix equations are then solved numerically for unknown expansion coefficients.
Diffracted fields are presented for each geometry. Their dependence on different parameters like angle of incidence, slit/ strip size, impedance of plane, relative permittivity of the surrounding media has been discussed and analyzed. Comparison with physical optics is also presented in some problems to validate the presented results.

Download Full Thesis
1,776 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

vii
45 KB
2

1

INTRODUCTION

1.1 General Consideration
1.2 Impedance Boundary Conditions
1.3 PEMC Boundary Conditions
1.4 Organization of the Thesis

1
59 KB
3 2 THE METHOD AND PREREQUISITES OF KOBAYASHI POTENTIAL

2.1 The Method of Kobayashi Potential
2.2 Mathematical Prerequisites of Kobayashi Potential

7
123 KB
4 3 ELECTROMAGNETIC DIFFRACTION FROM STRIPS

3.1 General Consideration
3.2 Diffraction of Electromagnetic Plane Wave by an Impedance Strip
3.3 Diffraction of Electromagnetic Plane Wave from a Conducting Strip placed on Dielectric Slab
3.4 Diffraction of Electromagnetic Plane Wave from a PEMC Strip

19
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5

4

ELECTROMAGNETIC DIFFRACTION FROM SLIT(S)

4.1 General Consideration
4.2 Diffraction from a Slit in an Impedance Plane placed at the interface of Two Different Media
4.3 Diffraction from Two Parallel Slits in an Impedance Plane
4.4 Diffraction of Electromagnetic Plane Wave from a Slit In a PEMC Plane

53
349 KB
6

5

CONCLUDING REMARKS

 

87
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7

6

REFERENCE

 

89
47 KB