| I. THEORY AND APPLICATIONS OF COMPLEX RAYS |
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3 | (2) |
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3 | (1) |
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Character of wavefields described by complex geometrical optics |
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4 | (1) |
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5 | (1) |
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Basic Equations of Geometrical Optics |
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5 | (10) |
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Eikonal, transfer, and ray equations of traditional geometrical optics |
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5 | (3) |
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Rays as the skeleton for the wavefield |
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8 | (2) |
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Complex form of the geometrical optics method |
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10 | (2) |
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Alternative approach to phenomena described by complex rays |
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12 | (3) |
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Properties of Complex Rays |
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15 | (12) |
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Ray paths in the complex space |
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15 | (1) |
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Fermat's principle for complex rays |
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16 | (1) |
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Selection rules for complex rays |
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17 | (2) |
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Complex rays and the saddle-point method |
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19 | (2) |
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21 | (2) |
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23 | (1) |
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Electromagnetic waves and complex rays |
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24 | (2) |
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Complex rays and uniform asymptotics |
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26 | (1) |
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Complex Rays in Physical Problems |
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27 | (16) |
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Complex rays inside a circular caustic |
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27 | (2) |
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Wave reflection in a layered medium |
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29 | (2) |
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Point source in a layered medium |
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31 | (1) |
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The vicinity of a caustic cusp in free space |
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32 | (1) |
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Swallow-tail caustic: an example with four ray contributions |
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33 | (1) |
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Point source in a parabolic layer |
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33 | (3) |
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36 | (1) |
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Complex rays behind a sinusoidal phase screen |
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37 | (1) |
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37 | (1) |
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Reflection of inhomogeneous waves from an interface |
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38 | (1) |
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Complex rays in weakly absorbing media |
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39 | (3) |
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Complex geometrical optics in other wave disciplines |
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42 | (1) |
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Gaussian Beams and Complex Rays |
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43 | (7) |
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Gaussian beams and complex sources |
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43 | (1) |
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Another description of Gaussian beams in terms of complex rays |
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44 | (3) |
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Transformation of Gaussian beams in optical systems |
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47 | (2) |
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Diffraction of Gaussian beams |
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49 | (1) |
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Distinctive Aspects of Complex Geometrical Optics |
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50 | (2) |
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Nonlocal properties of complex rays |
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50 | (1) |
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Boundaries of applicability of complex geometrical optics |
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51 | (1) |
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52 | (13) |
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53 | (1) |
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53 | (12) |
| II. HOMODYNE DETECTION AND QUANTUM-STATE RECONSTRUCTION |
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65 | (4) |
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Phase-Sensitive Measurements of Light |
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69 | (31) |
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69 | (24) |
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70 | (2) |
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Quadrature-component statistics |
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72 | (5) |
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77 | (4) |
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81 | (5) |
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Probability operator measures |
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86 | (2) |
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88 | (2) |
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Displaced-photon-number statistics |
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90 | (2) |
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Homodyne correlation measurements |
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92 | (1) |
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93 | (1) |
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94 | (1) |
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Measurement of cavity fields |
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95 | (5) |
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Quantum-State Reconstruction |
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100 | (57) |
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Optical homodyne tomography |
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101 | (5) |
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Density matrix in quadrature-component bases |
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106 | (2) |
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Density matrix in Fock basis |
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108 | (11) |
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Sampling of quadrature-components |
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108 | (7) |
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Sampling of the displaced Fock-states on a circle |
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115 | (3) |
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Reconstruction from propensities |
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118 | (1) |
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Multimode density matrices |
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119 | (3) |
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Local reconstruction of P(α; s) |
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122 | (1) |
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Reconstruction from test atoms in cavity QED |
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123 | (8) |
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Quantum state endoscopy and related methods |
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124 | (4) |
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128 | (3) |
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131 | (2) |
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Reconstruction of specific quantities |
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133 | (11) |
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Normally ordered photonic moments |
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134 | (3) |
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Quantities admitting normal-order expansion |
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137 | (2) |
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Canonical phase statistics |
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139 | (4) |
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Hamiltonian and Liouvillian |
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143 | (1) |
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Processing of smeared and incomplete data |
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144 | (13) |
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Experimental inaccuracies |
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145 | (6) |
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151 | (2) |
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Maximum-entropy principle |
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153 | (2) |
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155 | (2) |
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Quantum States of Matter Systems |
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157 | (58) |
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158 | (5) |
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159 | (1) |
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160 | (3) |
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163 | (10) |
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163 | (4) |
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Measurement of the Jaynes--Cummings dynamics |
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167 | (4) |
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Entangled vibronic states |
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171 | (2) |
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Bose--Einstein condensates |
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173 | (2) |
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175 | (4) |
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175 | (3) |
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178 | (1) |
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179 | (4) |
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Electronic Rydberg wave packets |
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180 | (2) |
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Cyclotron state of a trapped electron |
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182 | (1) |
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183 | (1) |
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Spin and angular momentum systems |
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183 | (2) |
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185 | (30) |
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187 | (1) |
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Appendix A. Radiation Field Quantization |
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187 | (2) |
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Appendix B. Quantum-State Representations |
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189 | (1) |
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189 | (1) |
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Quadrature-component states |
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190 | (1) |
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191 | (1) |
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s-parametrized phase-space functions |
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192 | (2) |
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Quantum state and quadrature components |
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194 | (1) |
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Appendix C. Photodetection |
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195 | (2) |
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Appendix D. Elements of Least-Squares Inversion |
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197 | (3) |
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200 | (15) |
| III. SCATTERING OF LIGHT IN THE EIKONAL APPROXIMATION |
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215 | (3) |
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The Eikonal Approximation in Non-Relativistic Potential Scattering |
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218 | (12) |
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Preliminaries of the problem |
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218 | (1) |
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The eikonal approximation |
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219 | (3) |
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Approximation from the Schroedinger equation |
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219 | (1) |
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Approximation from the integral equation |
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220 | (1) |
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221 | (1) |
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Physical picture of propagation in the EA |
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222 | (1) |
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222 | (2) |
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222 | (1) |
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Glauber variant of the EA |
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223 | (1) |
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Relationship with partial wave expansion |
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224 | (1) |
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Comparison with the Born series |
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225 | (1) |
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Interpretation of the EA as a long range approximation |
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226 | (1) |
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Numerical comparisons and potential dependence of the EA |
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226 | (1) |
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Modified eikonal approximations: corrections to the EA |
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227 | (2) |
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227 | (1) |
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228 | (1) |
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The generalized eikonal approximation |
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229 | (1) |
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Relationship with Rytov approximation |
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229 | (1) |
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Eikonal Approximation in Optical Scattering |
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230 | (38) |
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Analogy with potential scattering |
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231 | (1) |
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Validity of scalar scattering approximation |
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232 | (1) |
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Scattering by a homogeneous sphere |
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233 | (20) |
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The eikonal approximation |
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233 | (3) |
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Derivation of the EA scattering function from the Mie solutions |
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236 | (1) |
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Relationship with the anamalous diffraction approximation |
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237 | (1) |
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238 | (3) |
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241 | (6) |
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247 | (2) |
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249 | (2) |
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251 | (2) |
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Scattering by an infinitely long cylinder |
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253 | (11) |
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The scattering function for normal incidence |
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254 | (1) |
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Scattering by a homogeneous cylinder |
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255 | (2) |
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The EA from exact solutions |
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257 | (1) |
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258 | (1) |
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259 | (1) |
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The EA as |m - 1| → 0 approximation |
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260 | (1) |
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261 | (2) |
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Scattering at oblique incidence |
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263 | (1) |
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Scattering by an anisotropic cylinder |
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263 | (1) |
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Scattering by a coated sphere |
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264 | (2) |
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266 | (1) |
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Scattering of light by neighboring dielectric spheres |
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267 | (1) |
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Applications of the Eikonal Approximation |
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268 | (14) |
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268 | (5) |
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268 | (4) |
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272 | (1) |
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Scattering by rough surfaces |
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273 | (3) |
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276 | (2) |
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Light scattering by cladded fibers |
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278 | (1) |
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Diffraction by a volume hologram |
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279 | (2) |
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Miscellaneous applications |
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281 | (1) |
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Conclusions and Discussions |
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282 | (12) |
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285 | (9) |
| IV. THE ORBITAL ANGULAR MOMENTUM OF LIGHT |
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294 | (2) |
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The Paraxial Approximation |
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296 | (6) |
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302 | (4) |
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Eigenoperator Description of Laser Beams |
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306 | (3) |
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Generation of Laguerre--Gaussian Modes |
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309 | (10) |
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Other Gaussian Light Beams Possessing Orbital Angular Momentum |
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319 | (3) |
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Second-Harmonic Generation and Orbital Angular Momentum |
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322 | (2) |
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Mechanical Equivalence of Spin and Orbital Angular Momentum: Optical Spanners |
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324 | (2) |
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Rotational Frequency Shift |
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326 | (2) |
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Atoms and the Orbital Angular Momentum of Light |
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328 | (14) |
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Atoms and Multiple Laguerre--Gaussian Beam Configurations |
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342 | (3) |
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Motions of MG+ in Multiple Beam Configurations |
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345 | (11) |
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Atoms and Circularly Polarized Light |
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356 | (7) |
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Spin--Orbit Coupling of Light |
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363 | (3) |
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366 | (9) |
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369 | (1) |
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369 | (6) |
| V. THE OPTICAL KERR EFFECT AND QUANTUM OPTICS IN FIBERS |
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375 | (2) |
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377 | (3) |
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380 | (8) |
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Quantum Optics in Fibers -- Practical Considerations |
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388 | (9) |
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Kerr-nonlinearity and power confinement |
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388 | (1) |
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Optical solitons in fibers |
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389 | (4) |
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Guided acoustic-wave Brillouin scattering (GAWBS) |
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393 | (4) |
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397 | (21) |
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Properties of Kerr quadrature squeezed states |
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397 | (9) |
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Single-mode interaction Hamiltonian |
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397 | (3) |
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Single-mode linearized approach |
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400 | (4) |
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Power enhancement with ultrashort pulses |
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404 | (2) |
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Experiments with continuous-wave laser light |
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406 | (2) |
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Experiments with ultrashort pulses |
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408 | (10) |
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Ultrashort pulses for GAWBS noise suppression |
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408 | (1) |
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Generation and detection of pulsed quadrature squeezing using a balanced Sagnac loop |
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409 | (2) |
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Generation and detection of pulsed quadrature squeezing using a linear configuration |
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411 | (1) |
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Experiments with solitons |
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412 | (3) |
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Experiments with non-solitonic ultrashort pulses (k`` ≈ 0) |
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415 | (3) |
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Quantum Nondemolition Measurements |
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418 | (17) |
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Concept and realization of a QND measurement of the photon number |
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418 | (10) |
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Cross-phase modulation as a QND interaction |
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418 | (3) |
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421 | (2) |
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Self-phase modulation noise in the QND measurement |
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423 | (5) |
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Experiments with continuous-wave laser light |
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428 | (3) |
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Experiments with solitons |
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431 | (4) |
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432 | (1) |
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Elimination of GAWBS noise in the QND detection |
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433 | (1) |
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Quantum noise of the probe |
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434 | (1) |
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434 | (1) |
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435 | (23) |
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435 | (7) |
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Amplification and deamplification of quantum noise |
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436 | (4) |
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Experimental apparatus and results: an overview |
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440 | (2) |
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Spectral filtering of picosecond pulses |
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442 | (1) |
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Spectral filtering of sub-picosecond pulses |
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443 | (6) |
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Noise reduction and enhancement as a function of filter type and cut-off wavelength |
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444 | (2) |
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Noise reduction as a function of fiber length |
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446 | (2) |
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Intrapulse spectral correlations |
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448 | (1) |
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Spectral filtering of pulses in the normal group-velocity dispersion regime |
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449 | (1) |
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Asymmetric fiber Sagnac interferometer |
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449 | (9) |
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Single-mode analysis of a Kerr-nonlinear interferometer |
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451 | (1) |
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Considerations for pulsed squeezing |
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452 | (1) |
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Pulsed photon-number squeezing from an asymmetric Sagnac loop |
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453 | (5) |
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458 | (13) |
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460 | (1) |
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460 | (11) |
| Author Index |
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471 | (16) |
| Subject Index |
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487 | (4) |
| Contents of Previous Volumes |
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491 | (10) |
| Cumulative Index |
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501 | |
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