Preface |
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xiii | |
1 Transformation Optics |
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1 | (28) |
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1 | (2) |
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1.2 Maxwell's Electromagnetism |
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3 | (5) |
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1.2.1 Maxwell's Equations |
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3 | (2) |
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1.2.2 The Medium of a Geometry |
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5 | (2) |
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1.2.3 The Geometry of a Medium |
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7 | (1) |
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1.3 Spatial Transformations |
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8 | (6) |
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1.3.1 Invisibility Cloaking |
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8 | (3) |
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1.3.2 Transformation Media |
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11 | (1) |
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1.3.3 Perfect Imaging with Negative Refraction |
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12 | (2) |
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14 | (6) |
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1.4.1 Einstein's Universe and Maxwell's Fish Eye |
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14 | (3) |
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1.4.2 Perfect Imaging with Positive Refraction |
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17 | (3) |
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20 | (9) |
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1.5.1 Space-Time Geometries |
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20 | (1) |
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1.5.2 Magnetoelectric Media |
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20 | (2) |
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22 | (1) |
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1.5.4 Space-Time Transformations |
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23 | (6) |
2 Conformal Mapping in Transformation Optics |
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29 | (60) |
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29 | (3) |
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2.2 The Basics of Optical Conformal Mapping |
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32 | (7) |
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2.3 Transformation Optical Design with an Analogy Strategy |
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39 | (13) |
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2.3.1 Analogies with Fluid Mechanics |
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40 | (7) |
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41 | (1) |
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2.3.1.2 Airfoil carpet cloak |
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42 | (4) |
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2.3.1.3 Magnus carpet cloak |
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46 | (1) |
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2.3.2 Analogies with Electrostatics |
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47 | (5) |
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48 | (3) |
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2.3.2.2 Capacitor waveguide bend |
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51 | (1) |
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2.4 Transformation Plasmonics |
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52 | (14) |
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2.4.1 Transformation Optics for SPPs |
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52 | (7) |
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2.4.1.1 Carpet cloak for SPPs |
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53 | (4) |
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2.4.1.2 Plasmonic waveguiding devices |
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57 | (2) |
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2.4.2 GRIN Plasmonic Lenses |
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59 | (3) |
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2.4.3 Transformation Optics for LSPs |
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62 | (4) |
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2.5 Conformal Mapping in Anisotropic Devices |
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66 | (11) |
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2.5.1 Devices from Stacked 2D Profiles |
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66 | (8) |
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2.5.1.1 Stereographic projection |
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67 | (2) |
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2.5.1.2 Collimating lenses and superantennas |
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69 | (4) |
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2.5.1.3 Geodesic waveguides for subwavelength imaging |
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73 | (1) |
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2.5.2 Devices of Azimuthal Invariance |
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74 | (3) |
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77 | (12) |
3 Quasiconformal Transformation Media and Their Electrostatic Analogy |
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89 | (28) |
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90 | (1) |
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3.2 Transformation Optics with Anisotropy Minimization |
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91 | (7) |
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3.2.1 Minimizing Anisotropy |
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91 | (3) |
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3.2.2 Electrostatic Analogy |
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94 | (4) |
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3.3 Examples of Quasiconformal Transformation Media |
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98 | (6) |
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3.3.1 An Analytic Example |
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98 | (2) |
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3.3.2 Quasiconformal Map with Arbitrary Shape of Device Boundaries |
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100 | (3) |
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3.3.3 From Slipping Boundary to Fixed Boundary |
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103 | (1) |
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3.4 Extension to Acoustic and Elastic Waves |
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104 | (7) |
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105 | (2) |
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107 | (4) |
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111 | (6) |
4 Control of Electromagnetic Flux in Inhomogeneous Anisotropic Media |
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117 | (40) |
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118 | (1) |
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4.2 Inhomogeneous Anisotropic Zero-Index Media |
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119 | (16) |
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4.2.1 Scatterings in Highly Anisotropic Media and EM Flux Redistribution |
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121 | (5) |
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4.2.2 Robust High Transmission |
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126 | (2) |
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4.2.3 Examples of EM Flux Control |
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128 | (3) |
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4.2.4 Effect of Anisotropy |
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131 | (1) |
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4.2.5 Effect of Loss and Failure of Effective Medium Theory |
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132 | (3) |
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4.3 Applications in Waveguides |
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135 | (11) |
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4.3.1 Waveguides with Irregular Boundaries |
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135 | (5) |
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140 | (2) |
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4.3.3 Bending Waveguides with Irregular Boundaries |
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142 | (4) |
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4.4 Inhomogeneous Anisotropic High-Index Media |
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146 | (1) |
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147 | (10) |
5 Transmission-Line Metamaterials for Surface- to-Leaky-Wave Transformation |
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157 | (34) |
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158 | (2) |
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5.2 Principle of Transmission-Line Metamaterials |
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160 | (4) |
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5.3 Guided and Radiated Modes of CRLH-TLS |
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164 | (3) |
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5.4 Free-Space Scanning and Adaptive CRLH-LWAS |
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167 | (13) |
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5.4.1 1D and 2D Beam Scanning |
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167 | (2) |
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169 | (2) |
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171 | (9) |
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5.4.3.1 Cascaded amplifiers |
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171 | (1) |
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5.4.3.2 Distributed amplifier-based LWAs |
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171 | (2) |
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5.4.3.3 Power-recycling schemes for DA-based CRLH-LWAs |
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173 | (7) |
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5.5 Holographic Antennas Based on Metasurfaces |
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180 | (5) |
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5.5.1 Introduction to Metasurface Technology |
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181 | (1) |
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5.5.2 Principle and Practice of Holographic Antennas |
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182 | (3) |
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185 | (6) |
6 Metasurfaces for Extreme Light Manipulation and Wave Control |
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191 | (52) |
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191 | (7) |
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6.2 Metasurface Design and Synthesis |
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198 | (21) |
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6.2.1 Nanoresonators as Optical Phase Elements |
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208 | (5) |
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6.2.2 Tunability, Frequency Dispersion, and Effect of Loss |
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213 | (4) |
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6.2.3 Polarization Control in Optical Lumped Resonators |
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217 | (2) |
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6.3 Beam Forming with Graded Metasurfaces |
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219 | (9) |
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6.3.1 Optical Reflectarrays and Transmitarrays |
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220 | (4) |
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224 | (2) |
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6.3.3 Polarization Beam Splitter |
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226 | (2) |
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6.4 Other Potential Applications |
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228 | (7) |
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229 | (4) |
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6.4.2 Broadband Energy Harvesting |
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233 | (2) |
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6.4.3 Nanoscale Signal Processing |
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235 | (1) |
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6.5 Conclusions and Outlook |
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235 | (8) |
7 RF/Optical Scattering Manipulation Using Metasurface Coatings and Plasmonic Loadings |
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243 | (44) |
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244 | (1) |
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7.2 Metasurface Coatings for Cloaking and Illusion |
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245 | (18) |
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7.2.1 Scattering from an Anisotropic Metasurface-Coated Cylinder |
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246 | (4) |
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7.2.2 Metasurface Cloaking beyond the Quasi-Static Limit |
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250 | (7) |
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7.2.2.1 Metasurface cloaking for dielectric cylinders |
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250 | (2) |
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7.2.2.2 Metasurface cloaking for conducting cylinders |
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252 | (5) |
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7.2.3 Angle-Tolerant Metasurface Illusion |
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257 | (6) |
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7.3 Optical Plasmonic Core-Shell Particles Exhibiting Zero-Impedance and Zero-Admittance Properties |
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263 | (8) |
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7.3.1 Elements of Radially Inhomogeneous Spherical Transmission Line Theory, and Impedance Characterization of a Core-Shell Particle |
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265 | (2) |
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7.3.2 Zero-Impedance and Zero-Admittance Conditions on the Surface of a Core-Shell Particle |
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267 | (2) |
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7.3.3 Material Interpretation of the Core-Shell's Response |
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269 | (2) |
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7.4 Tunable Optical Nanoantenna Loaded by Plasmonic Core-Shell Particles |
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271 | (9) |
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7.4.1 Nanodipole Geometry and Response |
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272 | (4) |
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7.4.2 Loading the Gap Volume with a Homogeneous Dielectric Sphere |
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276 | (1) |
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7.4.3 Loading the Gap Volume with a Plasmonic Core-Shell Particle |
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277 | (3) |
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280 | (7) |
8 Experiments on Cloaking for Surface Water Waves |
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287 | (26) |
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287 | (2) |
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8.2 Acoustic Cloaking for Liquid Surface Waves |
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289 | (8) |
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8.2.1 From Navier-Stokes to Helmholtz |
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289 | (3) |
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8.2.2 Transformed Helmholtz's Equation on the Free Surface |
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292 | (3) |
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8.2.2.1 Coordinate change for a water wave cloak |
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294 | (1) |
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8.2.3 Effective Anisotropic Shear Viscosity through Homogenization |
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295 | (2) |
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8.3 Homogenization of Helmholtz's Equation |
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297 | (9) |
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8.3.1 Numerical Analysis of LSW Cloaking |
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302 | (4) |
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8.3.2 Experimental Measurements of LSW Cloaking |
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306 | (1) |
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8.4 Water Wave Cloaks and Invisibility Carpets of an Arbitrary Shape |
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306 | (5) |
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311 | (2) |
9 Cloaking for Heat and Mass Diffusion |
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313 | (22) |
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313 | (3) |
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9.2 Coordinates Changes as a Magic Potion to Control Convection-Diffusion Phenomena |
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316 | (3) |
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9.3 Invisibility Cloak, Concentrator, and Rotator of an Arbitrary Shape for Diffusion Processes |
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319 | (7) |
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319 | (3) |
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9.3.2 Diffusion Concentrators and Rotators |
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322 | (3) |
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9.3.3 Three-Dimensional Cloak of a Complex Shape for Diffusion Processes |
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325 | (1) |
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9.4 Multilayered Cloak with Simplified Isotropic Parameters |
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326 | (2) |
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9.4.1 Two-Dimensional Multilayered Thermal Cloaks |
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327 | (1) |
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9.4.2 Three-Dimensional Multilayered Thermal Cloaks |
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327 | (1) |
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9.5 Invisibility Carpet for Diffusion Processes: Mapping a Curved Surface on a Flat Surface |
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328 | (4) |
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9.5.1 Two-Dimensional Carpets |
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330 | (1) |
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9.5.2 Three-Dimensional Carpets |
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330 | (2) |
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332 | (3) |
10 Experiments on Cloaking in Electromagnetism, Mechanics, and Thermodynamics |
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335 | (34) |
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335 | (3) |
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336 | (1) |
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10.1.2 Role of the Environment |
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337 | (1) |
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338 | (1) |
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10.2 From Transformations to Materials |
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338 | (6) |
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10.2.1 Laminate Metamaterials |
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341 | (3) |
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344 | (3) |
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10.3.1 Optical Carpet Cloaks |
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345 | (2) |
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347 | (9) |
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10.4.1 Flexural-Wave Cloaks |
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349 | (3) |
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10.4.2 Three-Dimensional Elastostatic Cloaks |
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352 | (4) |
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356 | (4) |
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10.5.1 Heat Conduction Cloaks |
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356 | (1) |
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10.5.2 Light Diffusion Cloaks |
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357 | (3) |
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10.6 Conclusions and Outlook |
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360 | (9) |
11 Transformation Multiphysics |
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369 | (32) |
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11.1 Introduction and Background |
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370 | (2) |
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11.1.1 Coordinate-Transformation-Based Metamaterials |
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370 | (1) |
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11.1.2 Beyond Single Functionalities |
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371 | (1) |
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372 | (7) |
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11.2.1 Transformation Media in Thermal and Electrical Domains |
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372 | (2) |
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11.2.2 Joint Synthesis of Effective Parameters |
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374 | (3) |
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11.2.3 Numerical Modeling |
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377 | (2) |
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11.3 Proof-of-Principle Example |
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379 | (6) |
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11.3.1 Thermal Concentrator and Electrical Cloak |
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379 | (2) |
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11.3.2 Preliminary Ideal Parameter Design |
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381 | (3) |
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11.3.3 Realistic Parameter Design |
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384 | (1) |
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385 | (3) |
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11.4.1 Comparison with Conventional Material Shell |
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385 | (1) |
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386 | (2) |
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11.5 Conclusions and Perspectives |
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388 | (2) |
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Appendix A: Details on Effective Medium Formulation |
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390 | (4) |
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Appendix B: Details on Coordinate Transformations |
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394 | (7) |
12 Time Reversal of Linear and Nonlinear Water Waves |
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401 | (36) |
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401 | (1) |
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12.2 Surface Gravity Water Waves |
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402 | (13) |
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12.2.1 Linear Approximation |
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405 | (5) |
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12.2.1.1 Equations in the time domain |
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405 | (1) |
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12.2.1.2 Harmonic regime and flat bottom |
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406 | (2) |
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12.2.1.3 2D equation in the harmonic regime for a flat bottom |
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408 | (1) |
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12.2.1.4 Time reversal invariance in the linear regime |
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409 | (1) |
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410 | (5) |
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12.2.2.1 Stokes waves and modulation instability |
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410 | (1) |
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12.2.2.2 Nonlinear Schrodinger equation and doubly localized breather-type solutions |
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411 | (4) |
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12.2.2.3 Time reversal invariance in the nonlinear regime |
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415 | (1) |
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12.3 Experiments of Time Reversal |
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415 | (13) |
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12.3.1 Time Reversal of Linear Water Waves |
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415 | (7) |
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12.3.2 Time Reversal of Nonlinear Water Waves |
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422 | (6) |
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12.4 Discussion and Outlook |
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428 | (3) |
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431 | (6) |
Index |
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