Periodic structures : mode-matching approach and applications in electromagnetic engineering

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 characteris...

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Detalles Bibliográficos
Autor principal: Hwang, Ruey-Bing (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Singapore : John Wiley & Sons Inc 2012.
Edición:1st edition
Materias:
Electric filters.
Optoelectronic devices.
Wave guides.
Antennas (Electronics)
Photonic crystals.
Crystal lattices > Electric properties.
Electromagnetic waves.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628859806719
Tabla de Contenidos:
  • 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 εpq,mn and μpq,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.

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