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Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering

Book Description

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 structures applicable to practical device applications. The last chapters cover very recent research topics in electromagnetics and optics.

  • Provides an analytic approach to describing the operation of photonic crystals and related periodic structures

  • Covers guided and leaky mode propagation in periodic surroundings, from fundamentals to practical device applications

  • Demostrates formulation of the periodic system and applications to practical electromagnetic / optical devices, even further to metamaterials

  • 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

Ideal for Graduate students and advanced undergraduates in electronic engineering, optics, physics, and applied physics, or researchers working with periodic structures

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Preface
  5. Chapter 1: Introduction
    1. 1.1 Historical Perspective on the Research in Periodic Structures
    2. 1.2 From 1D Periodic Stratified Medium to 3D Photonic Crystals: An Overview of this Book
    3. References
    4. Further Readings
  6. Chapter 2: Wave Propagation in Multiple Dielectric Layers
    1. 2.1 Plane-Wave Solutions in a Uniform Dielectric Medium
    2. 2.2 Transmission-Line Network Representation of a Dielectric Layer of Finite Thickness
    3. 2.3 Scattering Characteristics of Plane Wave by Multiple Dielectric Layers
    4. 2.4 Transverse Resonance Technique for Determining the Guiding Characteristics of Waves in Multiple Dielectric Layers
    5. Appendix: Dyadic Definition and Properties
    6. References
    7. Further Reading
  7. Chapter 3: One-Dimensional Periodic Medium
    1. 3.1 Bloch–Floquet Theorem
    2. 3.2 Eigenwave in a 1D Holographic Grating
    3. 3.3 Eigenwave in 1D Dielectric Gratings: Modal Transmission-Line Approach
    4. 3.4 Eigenwave in a 1D Metallic Periodic Medium
    5. 3.5 Hybrid-Mode Analysis of a 1D Dielectric Grating: Fourier-Modal Approach
    6. 3.6 Input–Output Relation of a 1D Periodic Medium of Finite Thickness
    7. 3.7 Scattering Characteristics of a Grating Consisting of Multiple 1D Periodic Layers
    8. 3.8 Guiding Characteristics of Waveguides Consisting of Multiple 1D Periodic Layers
    9. References
    10. Further Readings
  8. Chapter 4: Two- and Three-Dimensional Periodic Structures
    1. 4.1 Modal Transmission-Line Approach for a 2D Periodic Metallic Medium: In-Plane Propagation
    2. 4.2 Modal Transmission Line Approach for a 2D Periodic Dielectric Medium: In-Plane Propagation
    3. 4.3 Double Fourier-Modal Approach for a 2D Dielectric Periodic Structure: Out-of-Plane Propagation
    4. 4.4 Three-Dimensional Periodic Structures
    5. Appendix: Closed-Form Solution of εpq,mn and μpq,mn
    6. References
  9. Chapter 5: Introducing Defects into Periodic Structures
    1. 5.1 A Parallel-Plane Waveguide having a Pair of 1D Semi-Infinite Periodic Structures as its Side Walls
    2. 5.2 Dispersion Relation of a Parallel-Plane Waveguide with Semi-Infinite 1D Periodic Structures as Waveguide Side Walls
    3. 5.3 A Parallel-Plane Waveguide with 2D Dielectric Periodic Structures as its Side Walls
    4. 5.4 Scattering Characteristics of a Periodic Structure with Defects
    5. 5.5 A Parallel-Plane Waveguide with 2D Metallic Periodic Structures as its Side Walls
    6. 5.6 Other Applications in Microwave Engineering
    7. References
  10. Chapter 6: Periodic Impedance Surface
    1. 6.1 Scattering Characteristics of Plane Wave by a 1D Periodic Structure Consisting of a Cavities Array
    2. 6.2 Periodic Impedance Surface Approach (PISA)
    3. 6.3 Scattering of Plane Wave by 1D Periodic Impedance Surface: Non-Principal Plane Propagation
    4. 6.4 Scattering of Plane Wave by a Dyadic 2D Periodic Impedance Surface
    5. References
  11. Chapter 7: Exotic Dielectrics Made of Periodic Structures
    1. 7.1 Synthetic Dielectrics Using a 2D Dielectric Columns Array
    2. 7.2 Refractive Index of a 2D Periodic Medium
    3. 7.3 An Artificial Dielectric Made of 1D Periodic Dielectric Layers
    4. 7.4 Conclusion
    5. References
  12. Index