Ruey-Bing Hwang (Raybeam)

Periodic Structures (eBook, PDF)

Mode-Matching Approach and Applications in Electromagnetic Engineering

• Format: PDF

Produktbeschreibung

PERIODIC STRUCTURES Mode-Matching Approach and Applications in Electromagnetic Engineering In Periodic Structures, Hwang gives readers a comprehensive understanding of the underlying physics in meta-materials made of periodic structures, providing a rigorous and firm mathematical framework for analyzing their electromagnetic properties. The book presents scattering and guiding characteristics of periodic structures using the mode-matching approach and their applications in electromagnetic engineering. * Provides an analytic approach to describing the wave propagation phenomena in photonic crystals and related periodic structures * Covers guided and leaky mode propagation in periodic surroundings, from fundamentals to practical device applications * Demonstrates formulation of the periodic system and applications to practical electromagnetic / optical devices, even further to artificial dielectrics * Introduces the evolution of periodic structures and their applications in microwave, millimeter wave and THz * Written by a high-impact author in electromagnetics and optics * Contains mathematical derivations which can be applied directly to MATLAB¯® programs * Solution Manual and MATLAB¯® computer codes available on Wiley Companion Website The book is primarily intended for graduate students in electronic engineering, optics, physics, and applied physics, or researchers working with periodic structures. Advanced undergraduates in EE, optics, applied physics applied math, and materials science who are interested in the underlying physics of meta-materials, will also be interested in this text.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 312
• Erscheinungstermin: 28. September 2012
• Englisch
• ISBN-13: 9781118188057
• Artikelnr.: 37343475

Autorenporträt

Ruey-Bing (Raybeam) Hwang, National Chiao Tung University, Taiwan

Inhaltsangabe

Preface ix 1 Introduction 1 1.1 Historical Perspective on the Research in
Periodic Structures 1 1.2 From 1D Periodic Stratified Medium to 3D Photonic
Crystals: An Overview of this Book 3 1.2.1 Chapter 2: Wave Propagation in
Multiple Dielectric Layers 3 1.2.2 Chapter 3: One-Dimensional Periodic
Medium 4 1.2.3 Chapter 4: Two- and Three-Dimensional Periodic Structures 6
1.2.4 Chapter 5: Introducing Defects into Periodic Structures 9 1.2.5
Chapter 6: Periodic Impedance Surface 11 1.2.6 Chapter 7: Exotic
Dielectrics Made of Periodic Structures 13 References 14 Further Readings
15 2 Wave Propagation in Multiple Dielectric Layers 17 2.1 Plane-Wave
Solutions in a Uniform Dielectric Medium 17 2.2 Transmission-Line Network
Representation of a Dielectric Layer of Finite Thickness 21 2.2.1 Wave
Propagating in Regular and Exotic Mediums 25 2.3 Scattering Characteristics
of Plane Wave by Multiple Dielectric Layers 28 2.3.1 Recursive-Impedance
Method 30 2.3.2 Transfer-Matrix Method 32 2.3.3 Scattering-Matrix Method 37
2.4 Transverse Resonance Technique for Determining the Guiding
Characteristics of Waves in Multiple Dielectric Layers 45 2.4.1 Transverse
Resonance Technique 45 2.4.2 Will Surface Waves be Supported in a Single
Interface Environment? 47 2.4.3 Single Dielectric Layer Backed with a PEC
or PMC 49 2.4.4 Mode Dispersion Relation of a Closed Structure Consisting
of Dielectric Layers 53 Appendix: Dyadic Definition and Properties 61
References 62 Further Reading 63 3 One-Dimensional Periodic Medium 65 3.1
Bloch-Floquet Theorem 65 3.2 Eigenwave in a 1D Holographic Grating 66 3.2.1
Two Space-Harmonic Approximation 68 3.2.2 Single Interface between a
Semi-infinite Uniform and a 1D Periodic Medium 76 3.3 Eigenwave in 1D
Dielectric Gratings: Modal Transmission-Line Approach 81 3.3.1 In-Plane
Incidence: ky =0 88 3.3.2 Out-of-Plane Incidence: ky / = 0 89 3.3.3
Eigenwave in a Two-Tone Periodic Medium 94 3.3.4 Sturm-Liouville
Differential Equation with Periodic Boundary Condition 96 3.4 Eigenwave in
a 1D Metallic Periodic Medium 98 3.4.1 Generalized Scattering Matrix at the
Interface between a 1D Metallic Periodic Medium and Uniform Medium 99 3.5
Hybrid-Mode Analysis of a 1D Dielectric Grating: Fourier-Modal Approach 102
3.6 Input-Output Relation of a 1D Periodic Medium of Finite Thickness 108
3.7 Scattering Characteristics of a Grating Consisting of Multiple 1D
Periodic Layers 111 3.7.1 Building-Block Approach 111 3.7.2 Scattering
Analysis of 1D Diffraction Gratings 112 3.8 Guiding Characteristics of
Waveguides Consisting of Multiple 1D Periodic Layers 119 3.8.1 Transverse
Resonance Technique 119 3.8.2 Dispersion Relation of a 1D Grating Waveguide
119 References 129 Further Readings 130 4 Two- and Three-Dimensional
Periodic Structures 131 4.1 Modal Transmission-Line Approach for a 2D
Periodic Metallic Medium: In-Plane Propagation 131 4.1.1 Generalized
Scattering Matrix at the Interface between a 1D Periodic Metallic Medium
and Uniform Medium 133 4.1.2 Periodic Boundary Condition on the Unit Cell
along the y-axis 137 4.1.3 A Simple Graphical Method 138 4.1.4 Phase
Relation: The Relationship among kx, ky, and ko 138 4.1.5 Dispersion
Relation: The Relationship between ko and kx (or ky) 143 4.1.6 Brillouin
Zone and Band Structure 146 4.2 Modal Transmission Line Approach for a 2D
Periodic Dielectric Medium: In-Plane Propagation 152 4.2.1 Input-Output
Relation at the Interface: Generalized Scattering Matrix Representation 156
4.2.2 Brillouin Diagram and Phase Relation 158 4.3 Double Fourier-Modal
Approach for a 2D Dielectric Periodic Structure: Out-of-Plane Propagation
166 4.3.1 Scattering Analysis of a 2D Grating: Out-of-Plane Propagation 171
4.4 Three-Dimensional Periodic Structures 172 4.4.1 Scattering Analysis of
a 3D Periodic Structure 174 4.4.2 Eigenwave Analysis of a 3D Periodic
Medium 180 Appendix: Closed-Form Solution of epsilonpq,mn and mupq,mn 189
References 190 5 Introducing Defects into Periodic Structures 191 5.1 A
Parallel-Plane Waveguide having a Pair of 1D Semi-Infinite Periodic
Structures as its Side Walls 191 5.1.1 Bloch Impedance 192 5.1.2 Surface
States Supported at the Interface of a Semi-Infinite 1D Periodic Structure
193 5.1.3 A Semi-Infinite 1D Periodic Structure Consisting of Symmetric
Dielectric Waveguides 200 5.2 Dispersion Relation of a Parallel-Plane
Waveguide with Semi-Infinite 1D Periodic Structures as Waveguide Side Walls
203 5.2.1 Numerical Example 204 5.3 A Parallel-Plane Waveguide with 2D
Dielectric Periodic Structures as its Side Walls 208 5.3.1 Method of
Mathematical Analysis 211 5.3.2 Dispersion Relation of a Channel with a
Pair of 2D Periodic Structures as its Waveguide Side Walls 214 5.4
Scattering Characteristics of a Periodic Structure with Defects 223 5.4.1
Fabry-Perot Etalon 229 5.4.2 The Correlation between the Scattering and
Guiding Characteristics 231 5.5 A Parallel-Plane Waveguide with 2D Metallic
Periodic Structures as its Side Walls 236 5.6 Other Applications in
Microwave Engineering 240 References 243 6 Periodic Impedance Surface 245
6.1 Scattering Characteristics of Plane Wave by a 1D Periodic Structure
Consisting of a Cavities Array 246 6.1.1 An AMC Surface Made of Corrugated
Metal Surface with Quarter-Wavelength Depth 256 6.2 Periodic Impedance
Surface Approach (PISA) 264 6.3 Scattering of Plane Wave by 1D Periodic
Impedance Surface: Non-Principal Plane Propagation 268 6.3.1 Guiding
Characteristics of Waves Supported by a 1D Periodic Impedance Surface 277
6.4 Scattering of Plane Wave by a Dyadic 2D Periodic Impedance Surface 277
References 280 7 Exotic Dielectrics Made of Periodic Structures 283 7.1
Synthetic Dielectrics Using a 2D Dielectric Columns Array 283 7.1.1
Description of the Example 284 7.1.2 Phase-Relation Diagram of a Uniform
Dielectric Medium 285 7.2 Refractive Index of a 2D Periodic Medium 287
7.2.1 Conclusion 291 7.3 An Artificial Dielectric Made of 1D Periodic
Dielectric Layers 292 7.3.1 Effective Refractive Index of the 1D Dielectric
Periodic Medium 293 7.3.2 Effective Wave-Impedance of the 1D Dielectric
Periodic Medium 293 7.4 Conclusion 295 References 295 Index 297