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Title of Thesis

Fractional Transmission Lines and Waveguides in Electromagnetics

Author(s)

Akhtar Hussain

Institute/University/Department Details
Department of Electronics / Quaid-i-Azam University, Islamabad
Session
2010
Subject
Electronics
Number of Pages
109
Keywords (Extracted from title, table of contents and abstract of thesis)
Parameter, Electromagnetics, Fractional, Solutions, Boundaries, Investigated, Rectangular, Transmission, Planar, Waveguides, Lines, Behavior

Abstract
Fractional curl operator has been utilized to derive the fractional dual solutions for different planar boundaries.Perfect electric conductor (PEC), impedance, and perfect electromagnetic conductor (PEMC) planar boundaries have been investigated and the behavior of fractional dual solutions is studied with respect to the fractional parameter.The knowledge of fractional dual solutions has been extended by studying the fractional parallel plate waveguides, fractional transmission lines and the fractional rectangular waveguides.Fractional parallel plate waveguides with PEC, impedance, and PEMC walls as original problems have been studied for the field distribution inside the guide region and transverse impedance of the guide walls.The investigations have also been given for the fractional parallel plate chiro waveguides.Fractional transmission lines of symmetric and non-symmetric nature have been analyzed for their intermediate behavior and the impedance matching condition has been derived in terms of the fractional parameter.The fractional rectangular impedance waveguide has also been investigated.The fractional dual solutions and impedance have been compared with the reference results which have been found in good agreement for limiting values of the fractional parameter.

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S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

 
45 KB
2

1

INTRODUCTION

1.1 Conditions for fractionalization of an operator
1.2 Recipe for fractionalization of a linear operator
1.3 Fractional curl operator
1.4 Fractional cross product operator
1.5 Fractional duality in electromagnetics

1
144 KB
3 2 FRACTIONAL DUAL SOLUTIONS FOR PLANAR BOUNDARIES

2.1 Fractional dual solutions for a travelling plane wave
2.2 Planar perfect electric conductor (PEC) interface
2.3 Reflection from a planar impedance boundary
2.4 Reflection from a planar perfect electromagnetic conductor (PEMC) boundary

15
313 KB
4 3 FRACTIONAL PARALLEL PLATE WAVEGUIDES

3.1General wave behavior along a guiding structure
3.2 Fractional parallel plate PEC waveguide
3.3 Fractional parallel plate impedance waveguide
3.4 Fractional parallel plate PEMC waveguide

39
 417 KB
5 4 FRACTIONAL CHIRO WAVEGUIDE AND THE CONCEPT OF FRACTIONAL TRANSMISSION LINES

4.1 Reflection from a chiral-achiral interface
4.2 Fractional parallel plate chiro waveguide
4.3 The concept of fractional transmission lines

55
171 KB
6 5 FRACTIONAL RECTANGULAR IMPEDANCE WAVEGUIDE

5.1 General theory of rectangular waveguides
5.2 Field formulation for the rectangular impedance waveguide
5.3 Fractional rectangular impedance waveguide

76
455 KB
7 6 CONCLUSION

 

92
31 KB
8 7 REFERENCES

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34 KB