Preface |
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ix | |
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1 | (6) |
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1 | (2) |
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1.2 Emergence of Metasurfaces |
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3 | (4) |
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2 Electromagnetic Properties of Materials |
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7 | (24) |
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2.1 Bianisotropic Constitutive Relations |
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8 | (2) |
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10 | (5) |
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2.2.1 Causality and Kramers-Kronig Relations |
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11 | (2) |
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2.2.2 Lorentz Oscillator Model |
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13 | (2) |
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15 | (4) |
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2.4 Lorentz Reciprocity Theorem |
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19 | (3) |
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22 | (4) |
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2.6 Energy Conservation in Lossless-Gainless Systems |
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26 | (2) |
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2.7 Classification of Bianisotropic Media |
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28 | (3) |
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31 | (18) |
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3.1 Effective Homogeneity |
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31 | (4) |
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3.1.1 The Homogeneity Paradox |
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31 | (1) |
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3.1.2 Theory of Periodic Structures |
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32 | (1) |
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3.1.3 Scattering from Gratings |
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33 | (1) |
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34 | (1) |
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3.2 Effective Zero Thickness |
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35 | (3) |
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3.3 Sheet Boundary Conditions |
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38 | (11) |
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38 | (2) |
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3.3.2 Polarizability Modeling |
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40 | (2) |
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3.3.3 Susceptibility Modeling |
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42 | (4) |
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3.3.4 Comparisons Between the Models |
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46 | (1) |
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3.3.4.1 Microscopic and Macroscopic Perspectives |
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46 | (1) |
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3.3.4.2 Material Tensor Dimensions and Normal Polarizations |
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46 | (1) |
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3.3.4.3 Uniform and Nonuniform Metasurfaces |
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47 | (1) |
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3.3.4.4 Extension to Time-Varying or Nonlinear Systems |
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47 | (2) |
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4 Susceptibility Synthesis |
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49 | (44) |
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4.1 Linear Time-Invariant Metasurfaces |
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49 | (33) |
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49 | (5) |
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4.1.2 Birefringent Metasurfaces |
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54 | (1) |
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4.1.3 Multiple-Transformation Metasurfaces |
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55 | (2) |
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4.1.4 Relations Between Susceptibilities and Scattering Parameters |
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57 | (7) |
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4.1.5 Surface-Wave Eigenvalue Problem |
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64 | (1) |
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4.1.5.1 Formulation of the Problem |
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64 | (3) |
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4.1.5.2 Dispersion in a Symmetric Environment |
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67 | (2) |
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4.1.6 Metasurfaces with Normal Polarizations |
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69 | (3) |
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4.1.7 Illustrative Examples |
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72 | (1) |
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4.1.7.1 Polarization Rotation |
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73 | (3) |
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4.1.7.2 Multiple Nonreciprocal Transformations |
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76 | (1) |
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4.1.7.3 Angle-Dependent Transformations |
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77 | (5) |
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4.2 Time-Varying Metasurfaces |
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82 | (3) |
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4.2.1 Formulation of the Problem |
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82 | (2) |
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4.2.2 Harmonic-Generation Time-Varying Metasurface |
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84 | (1) |
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4.3 Nonlinear Metasurfaces |
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85 | (8) |
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4.3.1 Second-Order Nonlinearity |
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85 | (1) |
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4.3.1.1 Frequency-Domain Approach |
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85 | (4) |
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4.3.1.2 Time-Domain Approach |
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89 | (4) |
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5 Scattered Field Computation |
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93 | (28) |
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5.1 Fourier-Based Propagation Method |
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94 | (4) |
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5.2 Finite-Difference Frequency-Domain Method |
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98 | (4) |
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5.3 Finite-Difference Time-Domain Method |
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102 | (13) |
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5.3.1 Time-Varying Dispersionless Metasurfaces |
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104 | (5) |
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5.3.2 Time-Varying Dispersive Metasurfaces |
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109 | (6) |
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5.4 Spectral-Domain Integral Equation Method |
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115 | (6) |
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6 Practical Implementation |
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121 | (36) |
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6.1 General Implementation Procedure |
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121 | (3) |
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6.2 Basic Strategies for Full-Phase Coverage |
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124 | (14) |
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6.2.1 Linear Polarization |
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125 | (1) |
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6.2.1.1 Metallic Scattering Particles |
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125 | (6) |
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6.2.1.2 Dielectric Scattering Particles |
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131 | (4) |
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6.2.2 Circular Polarization |
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135 | (3) |
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6.3 Full-Phase Coverage with Perfect Matching |
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138 | (6) |
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6.4 Effects of Symmetry Breaking |
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144 | (13) |
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145 | (5) |
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6.4.2 Polarization Conversion |
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150 | (7) |
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157 | (16) |
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7.1 Angle-Independent Transformation |
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157 | (4) |
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161 | (3) |
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7.3 Generalized Refraction |
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164 | (9) |
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7.3.1 Limitations of Conventional Synthesis Methods |
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165 | (3) |
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7.3.2 Perfect Refraction Using Bianisotropy |
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168 | (5) |
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173 | (2) |
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175 | (8) |
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9.1 Approximation of Average Fields at an Interface |
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175 | (2) |
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9.2 Fields Radiated by a Sheet of Dipole Moments |
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177 | (2) |
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9.3 Relations Between Susceptibilities and Polarizabilities |
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179 | (4) |
References |
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183 | (14) |
Index |
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197 | |