Produktbild: Nanostructured and Subwavelength Waveguides

Nanostructured and Subwavelength Waveguides Fundamentals and Applications

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.08.2012

Verlag

John Wiley & Sons Inc

Seitenzahl

336

Maße (L/B/H)

24.9/17.3/2 cm

Gewicht

658 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-97451-2

Beschreibung

Rezension

"Coverage of material is both rigorous and transparent and thus this volume is likely to be used extensively by researchers in these rapidly developing subject areas." ( Optics & Photonics News , 9 November 2012)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.08.2012

Verlag

John Wiley & Sons Inc

Seitenzahl

336

Maße (L/B/H)

24.9/17.3/2 cm

Gewicht

658 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-97451-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: Libri GmbH

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  • Produktbild: Nanostructured and Subwavelength Waveguides
  • Series Preface xiii

    Preface xv

    1 Introduction 1

    1.1 Contents and Organisation of the Book 2

    1.2 Step-Index Subwavelength Waveguides Made of Isotropic Materials 3

    1.3 Field Enhancement in the Low Refractive Index Discontinuity Waveguides 5

    1.4 Porous Waveguides and Fibres 6

    1.5 Multifilament Core Fibres 7

    1.6 Nanostructured Waveguides and Effective Medium Approximation 8

    1.7 Waveguides Made of Anisotropic Materials 9

    1.8 Metals and Polar Materials 10

    1.9 Surface Polariton Waves on Planar and Curved Interfaces 12

    1.10 Metal/Dielectric Metamaterials and Waveguides Made of Them 16

    1.11 Extending Effective Medium Approximation to Shorter Wavelengths 18

    2 Hamiltonian Formulation of Maxwell Equations for the Modes of Anisotropic Waveguides 21

    2.1 Eigenstates of a Waveguide in Hamiltonian Formulation 21

    2.2 Orthogonality Relation between the Modes of a Waveguide Made of Lossless Dielectrics 23

    2.3 Expressions for the Modal Phase Velocity 26

    2.4 Expressions for the Modal Group Velocity 27

    2.5 Orthogonality Relation between the Modes of a Waveguide Made of Lossy Dielectrics 29

    2.6 Excitation of the Waveguide Modes 30

    3 Wave Propagation in Planar Anisotropic Multilayers, Transfer Matrix Formulation 39

    3.1 Planewave Solution for Uniform Anisotropic Dielectrics 39

    3.2 Transfer Matrix Technique for Multilayers Made from Uniform Anisotropic Dielectrics 41

    3.3 Reflections at the Interface between Isotropic and Anisotropic Dielectrics 44

    4 Slab Waveguides Made from Isotropic Dielectric Materials. Example of Subwavelength Planar Waveguides 47

    4.1 Finding Modes of a Slab Waveguide Using Transfer Matrix Theory 47

    4.2 Exact Solution for the Dispersion Relation of Modes of a Slab Waveguide 50

    4.3 Fundamental Mode Dispersion Relation in the Long-Wavelength Limit 53

    4.4 Fundamental Mode Dispersion Relation in the Short-Wavelength Limit 55

    4.5 Waveguides with Low Refractive-Index Contrast 57

    4.6 Single-Mode Guidance Criterion 57

    4.7 Dispersion Relations of the Higher-Order Modes in the Vicinity of their Cutoff Frequencies 57

    4.8 Modal Losses Due to Material Absorption 58

    4.9 Coupling into a Subwavelength Slab Waveguide Using a 2D Gaussian Beam 64

    4.10 Size of a Waveguide Mode 69

    5 Slab Waveguides Made from Anisotropic Dielectrics 75

    5.1 Dispersion Relations for the Fundamental Modes of a Slab Waveguide 75

    5.2 Using Transfer Matrix Method with Anisotropic Dielectrics 77

    5.3 Coupling to the Modes of a Slab Waveguide Made of Anisotropic Dielectrics 78

    6 Metamaterials in the Form of All-Dielectric Planar Multilayers 81

    6.1 Effective Medium Approximation for a Periodic Multilayer with Subwavelength Period 81

    6.2 Extended Bloch Waves of an Infinite Periodic Multilayer 82

    6.3 Effective Medium Approximation 84

    6.4 Extending Metamaterial Approximation to Shorter Wavelengths 86

    6.5 Ambiguities in the Interpretation of the Dispersion Relation of a Planewave Propagating in a Lossy Metamaterial 89

    7 Planar Waveguides Containing All-Dielectric Metamaterials, Example of Porous Waveguides 91

    7.1 Geometry of a Planar Porous Waveguide 91

    7.2 TE-Polarised Mode of a Porous Slab Waveguide 91

    7.3 TM-Polarised Mode of a Porous Slab Waveguide 99

    8 Circular Fibres Made of Isotropic Materials 103

    8.1 Circular Symmetric Solutions of Maxwell's Equations for an Infinite Uniform Dielectric 104

    8.2 Transfer Matrix Method 107

    8.3 Fundamental Mode of a Step-Index Fibre 110

    8.4 Higher-Order Modes and their Dispersion Relations Near Cutoff Frequencies 115

    8.5 Dispersion of the Fundamental m = 1 Mode 122

    8.6 Losses of the Fundamental m = 1 Mode 123

    8.7 Modal Confinement and Modal Field Extent into the Cladding Region 125

    9 Circular Fibres Made of Anisotropic Materials 137

    9.1 Circular Symmetric Solutions of Maxwell's Equations for an Infinite Anisotropic Dielectric 137

    9.2 Transfer Matrix Method to Compute Eigenmodes of a Circular Fibre Made of Anisotropic Dielectrics 139

    9.3 Fundamental Mode of a Step-Index Fibre 141

    9.4 Linearly Polarised Modes of a Circular Fibre 146

    10 Metamaterials in the Form of a Periodic Lattice of Inclusions 155

    10.1 Effective Dielectric Tensor of Periodic Metamaterials in the Long-Wavelength Limit 156

    10.2 Bloch Wave Solutions in the Periodic Arrays of Arbitrary-Shaped Inclusions, Details of the Planewave Expansion Method 164

    11 Circular Fibres Made of All-Dielectric Metamaterials 167

    11.1 Porous-Core Fibres, Application in Low-Loss Guidance of THz Waves 167

    11.2 Multifilament Core Fibres, Designing Large Mode Area, Single-Mode Fibres 175

    11.3 Water-Core Fibres in THz, Guiding with Extremely Lossy Materials 182

    12 Modes at the Interface between Two Materials 185

    12.1 Surface Modes Propagating at the Interface between Two Positive Refractive Index Materials 185

    12.2 Geometrical Solution for the Bound Surface Modes 188

    12.3 Modes at the Interface between a Lossless Dielectric and an Ideal Metal, Excitation of an Ideal Surface Plasmon 191

    12.4 Modes at the Interface between a Lossless Dielectric and a Lossy Material (Metal or Dielectric) 194

    13 Modes of a Metal Slab Waveguide 209

    13.1 Modes of a Metal Slab Waveguide Surrounded by Two Identical Dielectric Claddings 210

    13.2 Long-Range Plasmon Guided by Thin and Lossy Metal Slab 221

    13.3 Modes of a Metal Slab Surrounded by Two Distinct Lossless Claddings. Leaky Plasmonic Modes 226

    14 Modes of a Metal Slot Waveguide 233

    14.1 Odd-Mode Dispersion Relation Near the Light Line of the Core Material neff ~ no. Visible-Mid-IR Spectral Range 235

    14.2 Odd-Mode Dispersion Relation near the Mode Cutoff neff ~ 0. Visible-Mid-IR Spectral Range 238

    14.3 Fundamental Mode of a Metal Slot Waveguide. Visible-Mid-IR Spectral Range 240

    14.4 Fundamental Mode Dispersion Relation at Low Frequencies ¿ ¿ 0. Far-IR Spectral Range 243

    15 Planar Metal/Dielectric Metamaterials 247

    15.1 Extended Waves in the Infinite Metal/Dielectric Periodic Multilayers (Long-Wavelength Limit) 247

    15.2 Extending Metamaterial Approximation to Shorter Wavelengths 250

    16 Examples of Applications of Metal/Dielectric Metamaterials 253

    16.1 Optically Transparent Conductive Layers, Case of ¿_ > 0, ¿¿ > 0 253

    16.2 Perfect Polarisation Splitter, Case of ¿_ > 0, ¿¿ < 0 256

    16.3 Surface States at the Interface between Lossless Dielectric and Metal/Dielectric Metamaterials 260

    16.4 Surface Plasmons in a Two-Material System ¿i = ¿d 262

    16.5 Practical Application of Surface Plasmons Supported by Metamaterials 1, 2, 3 271

    17 Modes of MetallicWires, Guidance in the UV-near-IR, Mid-IR and Far-IR Spectral Ranges 281

    17.1 Guidance by the Metallic Wires with Diameters Smaller than the Metal Skin Depth 281

    17.2 Guidance by the Metallic Wires with Diameters Much Larger than the Metal Skin Depth 285

    17.3 Wire Plasmons in the Visible-Near-IR Spectral Range 286

    17.4 Wire Plasmons in the Mid-IR-Far-IR Spectral Range 291

    18 Semianalytical Methods of Solving Nonlinear Equations of Two Variables 301

    18.1 Polynomial Solution of a Nonlinear Equation in the Vicinity of a Known Particular Solution 301

    18.2 Method of Consecutive Functional Iterations 302

    18.3 Method of Asymptotics 304

    References 307

    Index 311