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1 | (18) |
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1 | (7) |
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8 | (6) |
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1.3 The Realm of Nano Optics |
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14 | (5) |
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2 Maxwell's Equations in a Nutshell |
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19 | (26) |
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2.1 The Concept of Fields |
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19 | (8) |
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27 | (4) |
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2.3 Maxwell's Equations in Matter |
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31 | (6) |
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37 | (3) |
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2.5 Longitudinal and Transverse Fields |
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40 | (5) |
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3 Angular Spectrum Representation |
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45 | (26) |
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3.1 Fourier Transform of Fields |
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46 | (1) |
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3.2 Far-Field Representation |
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47 | (4) |
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3.3 Field Imaging and Focusing |
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51 | (4) |
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3.4 Paraxial Approximation and Gaussian Beams |
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55 | (3) |
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3.5 Fields of a Tightly Focused Laser Beam |
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58 | (2) |
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3.6 Details of Imaging and Focusing Transformations |
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60 | (11) |
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71 | (24) |
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71 | (9) |
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80 | (1) |
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81 | (3) |
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4.4 Optical Cross Sections |
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84 | (2) |
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4.5 Conservation of Momentum |
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86 | (4) |
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4.6 Optical Angular Momentum |
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90 | (5) |
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95 | (20) |
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5.1 What Are Green's Functions? |
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95 | (2) |
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5.2 Green's Function for the Helmholtz Equation |
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97 | (6) |
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5.3 Green's Function for the Wave Equation |
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103 | (4) |
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107 | (1) |
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5.5 Details for Representation Formula of Wave Equation |
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108 | (7) |
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6 Diffraction Limit and Beyond |
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115 | (24) |
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6.1 Imaging a Single Dipole |
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115 | (6) |
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6.2 Diffraction Limit of Light |
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121 | (5) |
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6.3 Scanning Nearfield Optical Microscopy |
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126 | (4) |
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6.4 Localization Microscopy |
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130 | (9) |
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139 | (22) |
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7.1 Drude-Lorentz and Drude Models |
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141 | (6) |
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7.2 From Microscopic to Macroscopic Electromagnetism |
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147 | (3) |
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150 | (8) |
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7.4 Reciprocity Theorem in Optics |
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158 | (3) |
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161 | (46) |
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161 | (10) |
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171 | (3) |
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8.3 Transfer Matrix Approach |
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174 | (13) |
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187 | (5) |
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8.5 Green's Function for Stratified Media |
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192 | (15) |
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207 | (52) |
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207 | (2) |
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9.2 Spheres and Ellipsoids in the Quasistatic Limit |
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209 | (12) |
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9.3 Boundary Integral Method for Quasistatic Limit |
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221 | (14) |
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235 | (9) |
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244 | (3) |
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9.6 Boundary Integral Method for Wave Equation |
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247 | (4) |
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9.7 Details of Quasistatic Eigenmode Decomposition |
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251 | (8) |
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10 Photonic Local Density of States |
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259 | (38) |
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10.1 Decay Rate of Quantum Emitter |
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259 | (7) |
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10.2 Quantum Emitter in Photonic Environment |
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266 | (7) |
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10.3 Surface-Enhanced Raman Scattering |
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273 | (5) |
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10.4 Forster Resonance Energy Transfer |
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278 | (3) |
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10.5 Electron Energy Loss Spectroscopy |
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281 | (16) |
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11 Computational Methods in Nano Optics |
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297 | (44) |
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11.1 Finite Difference Time Domain Simulations |
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297 | (12) |
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11.2 Boundary Element Method |
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309 | (5) |
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314 | (6) |
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11.4 Boundary Element Method Approach (Galerkin) |
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320 | (4) |
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11.5 Finite Element Method |
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324 | (10) |
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11.6 Details of Potential Boundary Element Method |
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334 | (7) |
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12 Quantum Effects in Nano Optics |
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341 | (10) |
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12.1 Going Quantum in Three Steps |
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343 | (4) |
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12.2 The Quantum Optics Toolbox |
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347 | (2) |
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12.3 Summary of Book Chaps. 13-18 |
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349 | (2) |
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13 Quantum Electrodynamics in a Nutshell |
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351 | (56) |
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351 | (6) |
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13.2 Canonical Quantization |
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357 | (13) |
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370 | (2) |
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13.4 Canonical Quantization of Maxwell's Equations |
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372 | (19) |
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13.5 Multipolar Hamiltonian |
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391 | (6) |
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13.6 Details of Lagrange Formalism in Electrodynamics |
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397 | (10) |
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407 | (60) |
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14.1 Statistical Operator |
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408 | (3) |
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411 | (7) |
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14.3 Correlation Functions for Electromagnetic Fields |
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418 | (4) |
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14.4 Correlation Functions for Coulomb Systems |
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422 | (11) |
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433 | (23) |
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14.6 Electron Energy Loss Spectroscopy Revisited |
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456 | (11) |
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15 Thermal Effects in Nano Optics |
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467 | (44) |
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15.1 Cross-Spectral Density and What We Can Do with It |
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469 | (4) |
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473 | (6) |
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15.3 Cross-Spectral Density Revisited |
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479 | (6) |
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15.4 Photonic Local Density of States Revisited |
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485 | (8) |
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15.5 Forces at the Nanoscale |
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493 | (8) |
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15.6 Heat Transfer at the Nanoscale |
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501 | (4) |
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15.7 Details of Derivation of Representation Formula |
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505 | (6) |
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511 | (22) |
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511 | (3) |
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514 | (7) |
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16.3 Relaxation and Dephasing |
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521 | (6) |
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16.4 Jaynes-Cummings Model |
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527 | (6) |
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533 | (34) |
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533 | (7) |
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17.2 Master Equation of Lindblad Form |
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540 | (3) |
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17.3 Solving the Master Equation of Lindblad Form |
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543 | (9) |
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17.4 Environment Couplings |
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552 | (15) |
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567 | (26) |
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18.1 Photon Detectors and Spectrometers |
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568 | (7) |
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18.2 Quantum Regression Theorem |
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575 | (2) |
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18.3 Photon Correlations and Fluorescence Spectra |
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577 | (11) |
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18.4 Molecule Interacting with Metallic Nanospheres |
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588 | (5) |
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593 | (4) |
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593 | (2) |
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595 | (2) |
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B Spectral Green's Function |
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597 | (12) |
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B.1 Spectral Decomposition of Scalar Green's Function |
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597 | (3) |
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B.2 Spectral Representation of Dyadic Green's Function |
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600 | (3) |
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B.3 Sommerfeld Integration Path |
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603 | (6) |
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C Spherical Wave Equation |
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609 | (10) |
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611 | (1) |
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612 | (2) |
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C.3 Spherical Bessel and Hankel Functions |
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614 | (5) |
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D Vector Spherical Harmonics |
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619 | (8) |
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D.1 Vector Spherical Harmonics |
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621 | (1) |
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D.2 Orthogonality Relations |
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622 | (5) |
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627 | (18) |
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E.1 Multipole Expansion of Electromagnetic Fields |
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627 | (2) |
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629 | (3) |
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E.3 Plane Wave Excitation |
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632 | (5) |
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637 | (8) |
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645 | (6) |
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F.1 Transverse and Longitudinal Delta Function |
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646 | (5) |
References |
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651 | (8) |
Index |
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659 | |