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1 | (18) |
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1 | (3) |
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1.2 Macro- and Microscopic Maxwell Equations |
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4 | (5) |
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1.3 Standard Derivation of Macroscopic Maxwell Equations |
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9 | (2) |
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1.4 Hierarchy of EM Response Theories |
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11 | (1) |
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1.5 "Problems" of the Conventional Maxwell Equations |
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12 | (4) |
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1.6 Meaning of Macroscopic Averaging |
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16 | (3) |
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18 | (1) |
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2 New Form of Macroscopic Maxwell Equations |
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19 | (40) |
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2.1 New Strategy for Derivation |
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19 | (1) |
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2.2 Microscopic Nonlocal Response Theory |
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20 | (31) |
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2.2.1 Precise Definition of "Matter, EM Field and Interaction" |
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22 | (6) |
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2.2.2 Calculation of Microscopic Nonlocal Susceptibility |
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28 | (3) |
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2.2.3 Fundamental Equations to Determine Microscopic Response |
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31 | (4) |
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2.2.4 Characteristics of Microscopic Nonlocal Response Theory |
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35 | (3) |
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2.2.5 Gauge Invariance of Many-Body Schrodinger Equation |
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38 | (6) |
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2.2.6 Relativistic Correction Terms |
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44 | (7) |
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2.3 Long Wavelength Approximation (LWA) |
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51 | (3) |
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2.4 New Macroscopic Susceptibility |
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54 | (2) |
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56 | (3) |
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58 | (1) |
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3 Discussions of the New Results |
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59 | (34) |
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3.1 Rewriting of the New Constitutive Equation |
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59 | (3) |
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3.2 Unified Susceptibility for T and L Source Fields |
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62 | (3) |
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3.3 New and Conventional Dispersion Equations |
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65 | (1) |
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3.4 Case of Chiral Symmetry: Comparison with DBF-Equations |
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66 | (5) |
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3.5 Other Unconventional Theories |
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71 | (8) |
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3.5.1 Single Susceptibility Theories |
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71 | (3) |
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3.5.2 Comparison of Single Susceptibility Theories |
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74 | (4) |
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3.5.3 Use of LWA on a Different Stage |
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78 | (1) |
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3.6 Validity Condition of LWA |
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79 | (2) |
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3.7 Boundary Conditions for EM Fields |
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81 | (4) |
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3.8 Some Examples of Application |
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85 | (8) |
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3.8.1 Dispersion Relation in Chiral and Non-chiral Cases |
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86 | (2) |
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3.8.2 Transmission Window in Left-Handed Materials: A Test of New and Conventional Schemes |
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88 | (4) |
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92 | (1) |
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93 | (24) |
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4.1 Consequences to the Metamaterials Studies |
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93 | (12) |
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4.1.1 Definition of Left-Handed Materials (LHM) |
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93 | (3) |
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4.1.2 Use of (ε, μ) and Homogenization |
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96 | (1) |
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4.1.3 "Microscopic", "Semi-macroscopic" and "Electric Circuit" Approaches |
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97 | (1) |
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4.1.4 Nonlocal Response of Metamaterials |
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98 | (3) |
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4.1.5 Dispersion Curves in Chiral LHM: Difference Between DBF and ChC eqs |
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101 | (4) |
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4.2 Spatial Dispersion in Macro- Versus Microscopic Schemes |
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105 | (1) |
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4.3 Resonant Bragg Scattering from Inner-Core Excitations |
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106 | (4) |
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4.4 Renormalization of L Current Density into EL |
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110 | (4) |
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4.4.1 Use of EL as External Field |
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110 | (2) |
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4.4.2 Difference in the Criterion for LWA |
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112 | (2) |
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4.5 Extension to Nonlinear Response |
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114 | (3) |
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115 | (2) |
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5 Mathematical Details and Additional Physics |
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117 | (36) |
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5.1 Continuity Equation and Operator Forms of P and M in Particle Picture |
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117 | (3) |
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5.2 Equations of Motion Obtained from Lagrangian L |
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120 | (7) |
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5.2.1 Newton Equation for a Charged Particle Under Lorentz Force |
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120 | (3) |
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5.2.2 Equations of Motion for φ and A |
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123 | (2) |
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5.2.3 Generalized Momenta and Hamiltonian |
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125 | (2) |
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5.3 Form of Interaction Term |
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127 | (6) |
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5.3.1 Another Set of Lagrangian and Hamiltonian |
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127 | (4) |
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5.3.2 Velocity Gauge Versus Length Gauge |
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131 | (2) |
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5.4 Derivation of Constitutive Equation from Density Matrix |
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133 | (3) |
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5.5 Rewriting the (0|N(r)|0) Term |
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136 | (4) |
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5.6 Division of Qμν into E2 and M1 Components |
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140 | (1) |
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5.7 Problems of Longitudinal (L) Field |
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141 | (9) |
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5.7.1 T and L Character of Induced Field |
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141 | (3) |
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5.7.2 Excitation by an External L Field |
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144 | (4) |
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5.7.3 L and T Field Produced by a Moving Charge |
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148 | (2) |
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5.8 Dimension of the Susceptibilities in SI and cgs Gauss Units |
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150 | (3) |
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152 | (1) |
Index |
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153 | |