Wave Propagation and Radiation in Gyrotropic and Anisotropic Media

By: Abdullah Eroglu

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Hardcover | 13 September 2010

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238 Pages

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23.39 x 15.6 x 1.42

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As technology matures, communication system operation regions shift from mic- wave and millimeter ranges to sub-millimeter ranges. However, device perf- mance at very high frequencies suffers drastically from the material de?ciencies. As a result, engineers and scientists are relentlessly in search for the new types of materials, and composites which will meet the device performance requirements and not present any de?ciencies due to material electrical and magnetic properties. Anisotropic and gyrotropic materials are the class of the materials which are very important in the development high performance microwave devices and new types composite layered structures. As a result, it is a need to understand the wave propagation and radiation characteristics of these materials to be able to realize them in practice. This book is intended to provide engineers and scientists the required skill set to design high frequency devices using anisotropic, and gyrotropic materials by providing them the theoretical background which is blended with the real world engineering application examples. It is the author's hope that this book will help to ?ll the gap in the area of applied electromagnetics for the design of microwave and millimeter wave devices using new types of materials. Each chapter in the book is designed to give the theory ?rst on the subject and solidify it with application examples given in the last chapter. The application examples for the radiation problems are given at the end of Chap. 5 and Chap. 6 for anisotropic and gyrotropic materials, respectively, after the theory section.

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Non-Fiction Engineering & Technology Electronics & Communications Engineering Electronics Engineering Microwave Technology Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Mechanical Engineering & Materials Materials Science Electricity

Introduction	p. 1
History of Novel Materials	p. 1
Maxwell's Equations	p. 2
Boundary Conditions	p. 4
Tensors and Dyadic Analysis	p. 7
Eigenvalue Problems	p. 10
k-Domain Method	p. 12
References	p. 14
Wave Propagation and Dispersion Characteristics in Anisotropic Medium	p. 15
Dispersion Relations and Wave Matrices	p. 15
General Form of Dispersion Relations and Wave Matrices	p. 16
Dispersion Relation and Wave Matrix for Uniaxially Anisotropic Medium	p. 18
Dispersion Relation and Wave Matrix for Biaxially Anisotropic Medium	p. 24
Plane Waves in Anisotropic Medium	p. 26
Wave Propagation and Dispersion characteristics in Gyrotropic Medium	p. 29
Introduction	p. 29
Constitutive Relations	p. 29
Dispersion Relations and Wave Matrices	p. 32
Dispersion Relations for Gyrotropic Medium	p. 35
Plane Waves in Gyrotropic Medium	p. 40
Longitudinal Propagation, ¿ = 0°	p. 42
Transverse Propagation, ¿ = 90°	p. 44
Cut-off and Resonance Conditions	p. 45
Dispersion Curves and Propagation Characteristics	p. 46
Isotropic Case, No Magnetic Field, Y = 0	p. 47
The Longitudinal Propagation, ¿ = 0°	p. 48
The Transverse Propagation, ¿ = 90°	p. 49
CMA (Clemmow-Mullaly-Allis) Diagram	p. 55
References	p. 55
Method of Dyadic Green's Functions	p. 57
Introduction	p. 57
Dyadic Green's Functions	p. 57
Theory of Dyadic Differential Functions	p. 57
Duality Principle for Dyadic Green's Functions	p. 63
Formulation of Dyadic Green's Functions	p. 64
Dyadic Green's Functions for Uniaxially Anisotropic Medium	p. 67
Dyadic Green's Functions for Unbounded Uniaxially Anisotropic Medium	p. 68
Dyadic Green's Functions for Layered Uniaxially Anisotropic Medium	p. 72
Dyadic Green's Functions for Gyrotropic Medium	p. 73
Electric Type DGF G_ee (r, r′) for a Gyroelectric Medium	p. 73
Magnetic Type DGF G_mm (r, r′) for a Gyroelectric Medium	p. 79
Application of Duality Principle	p. 82
Electric Type DGF G_ee (r, r′) for a Gyroelectric Medium	p. 83
Magnetic Type DGF G_mm (r, r′) for a Gyroelectric Medium	p. 84
References	p. 85
Radiation in Anisotropic Medium	p. 87
Formulation of the Problem	p. 87
Far Field Radiation: Dipole Is Over Layered Uniaxially Anisotropic Media	p. 89
Far Field Radiation: Dipole Is Embedded Inside Two-Layered Anisotropic Media	p. 92
Physical Interpretation of Dyadic Green's Functions for Radiation Fields	p. 96
G₀₀ (r, r′): Dipole Is Placed Over the Anisotropic Layer	p. 96
G₀₁ (r, r′): Dipole Is Embedded Inside the Anisotropic Layer	p. 97
Numerical Results	p. 98
Special Cases	p. 98
	p. 101
Effect of Layer Thickness	p. 104
Effect of Dipole Location	p. 107
Appendix	p. 108
References	p. 114
Radiation in Gyrotropic Medium	p. 115
Formulation of the Problem	p. 115
Analytical Solution of Far Fields	p. 117
Numerical Results	p. 134
Numerical Verification	p. 134
Radiation Patterns	p. 136
References	p. 141
Wave Theory of Composite Layered Structure	p. 143
Wave Propagation in Multilayered Isotropic Media	p. 143
Single-Layered Isotropic Media	p. 144
Multilayered Isotropic Media	p. 147
Wave Propagation in Multilayered Anisotropic Media	p. 150
Single-Layered Anisotropic Media: Vertically Uniaxial Case	p. 150
Single-Layered Anisotropic Media: Optic Axis Titled in One Direction	p. 154
Two-Layered Anisotropic Media: Vertically Uniaxial Case	p. 158
Two-Layered Anisotropic Media: Optic Axis Titled in One Direction	p. 164
Multilayered Anisotropic Media	p. 166
References	p. 168
Microwave Devices Using Anisotropic and Gyrotropic Media	p. 169
Waveguide Design	p. 169
Waveguide Design with Isotropic Media	p. 171
Waveguide Design with Gyrotropic Media	p. 174
Waveguide Design with Anisotropic Media	p. 182
Design Examples	p. 186
Microstrip Directional Coupler Design	p. 188
Microstrip Directional Coupler Design using Isotropic Medium	p. 188
Microstrip Directional Coupler Design using Anisotropic Medium	p. 192
Microstrip Directional Coupler Design using Gyrotropic Medium	p. 193
Design Examples	p. 197
Spiral Inductor Design	p. 200
Microstrip Filter Design	p. 206
Nonreciprocal Phase Shifter Design	p. 212
References	p. 214
Index	p. 217
Table of Contents provided by Ingram. All Rights Reserved.

Wave Propagation and Radiation in Gyrotropic and Anisotropic Media

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