| Description |
1 online resource (313 pages) |
| Contents |
880-01 PERIODIC STRUCTURES: Mode- Matching Approach and Applications in Electromagnetic Engineering; Contents; Preface; 1 Introduction; 1.1 Historical Perspective on the Research in Periodic Structures; 1.2 From 1D Periodic Stratified Medium to 3D Photonic Crystals: An Overview of this Book; 1.2.1 Chapter 2: Wave Propagation in Multiple Dielectric Layers; 1.2.2 Chapter 3: One-Dimensional Periodic Medium; 1.2.3 Chapter 4: Two- and Three-Dimensional Periodic Structures; 1.2.4 Chapter 5: Introducing Defects into Periodic Structures; 1.2.5 Chapter 6: Periodic Impedance Surface |
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880-01/(S 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 |
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1.2.6 Chapter 7: Exotic Dielectrics Made of Periodic StructuresReferences; Further Readings; 2 Wave Propagation in Multiple Dielectric Layers; 2.1 Plane-Wave Solutions in a Uniform Dielectric Medium; 2.2 Transmission-Line Network Representation of a Dielectric Layer of Finite Thickness; 2.2.1 Wave Propagating in Regular and Exotic Mediums; 2.3 Scattering Characteristics of Plane Wave by Multiple Dielectric Layers; 2.3.1 Recursive-Impedance Method; 2.3.2 Transfer-Matrix Method; 2.3.3 Scattering-Matrix Method |
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2.4 Transverse Resonance Technique for Determining the Guiding Characteristics of Waves in Multiple Dielectric Layers2.4.1 Transverse Resonance Technique; 2.4.2 Will Surface Waves be Supported in a Single Interface Environment?; 2.4.3 Single Dielectric Layer Backed with a PEC or PMC; 2.4.4 Mode Dispersion Relation of a Closed Structure Consisting of Dielectric Layers; Appendix: Dyadic Definition and Properties; References; Further Reading; 3 One-Dimensional Periodic Medium; 3.1 Bloch-Floquet Theorem; 3.2 Eigenwave in a 1D Holographic Grating; 3.2.1 Two Space-Harmonic Approximation |
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3.2.2 Single Interface between a Semi-infinite Uniform and a 1D Periodic Medium3.3 Eigenwave in 1D Dielectric Gratings: Modal Transmission-Line Approach; 3.3.1 In-Plane Incidence: ky = 0; 3.3.2 Out-of-Plane Incidence: ky /=0; 3.3.3 Eigenwave in a Two-Tone Periodic Medium; 3.3.4 Sturm-Liouville Differential Equation with Periodic Boundary Condition; 3.4 Eigenwave in a 1D Metallic Periodic Medium; 3.4.1 Generalized Scattering Matrix at the Interface between a 1D Metallic Periodic Medium and Uniform Medium; 3.5 Hybrid-Mode Analysis of a 1D Dielectric Grating: Fourier-Modal Approach |
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3.6 Input-Output Relation of a 1D Periodic Medium of Finite Thickness3.7 Scattering Characteristics of a Grating Consisting of Multiple 1D Periodic Layers; 3.7.1 Building-Block Approach; 3.7.2 Scattering Analysis of 1D Diffraction Gratings; 3.8 Guiding Characteristics of Waveguides Consisting of Multiple 1D Periodic Layers; 3.8.1 Transverse Resonance Technique; 3.8.2 Dispersion Relation of a 1D Grating Waveguide; References; Further Readings; 4 Two- and Three-Dimensional Periodic Structures; 4.1 Modal Transmission-Line Approach for a 2D Periodic Metallic Medium: In-Plane Propagation |
| Summary |
Provides readers an understanding of the basic physics underlying meta-materials, providing a powerful tool for analyzing their electromagnetic properties Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering presents the scattering and guiding characteristics of periodic structures using the mode-matching approach and their applications in electromagnetic engineering. The book is structured so that the first three chapters provide an introduction and prepare the reader for chapters 4 to 6, which expand the formulations to electromagnetic and optical str |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Copyright © Wiley-IEEE Press 2013 |
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Print version record |
| Subject |
Electric filters -- Electric properties
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Optoelectronic devices.
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Wave guides.
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Antennas (Electronics)
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Photonic crystals.
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Crystal lattices.
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Electromagnetic waves.
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Radiation
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electromagnetic radiation.
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Antennas (Electronics)
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Crystal lattices
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Electromagnetic waves
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Optoelectronic devices
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Photonic crystals
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Wave guides
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| Form |
Electronic book
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| LC no. |
2012035717 |
| ISBN |
9781118188064 |
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1118188063 |
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9781118188040 |
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1118188047 |
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1118188039 |
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9781118188033 |
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1283645645 |
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9781283645645 |
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1118188055 |
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9781118188057 |
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