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Subject Index for Volume XXXIX
SUBJECT INDEX FOR VOLUME XXXIX
- - _ optical scattering 230-268 -equation 5,6,39,216,217 - -, complex 17 - - in anisotropic medium 24 eikonal-Born series 228,229 evanescent wave 4
A Airy function 26, 30 anomalous diffraction approximation (ADA) 217, 237,238
B back-action evading measurement 418, 432 balanced homodyning 73, 91, 92, 143, 151 Bernoulli process 196 - transformation 146 Bessel function 29, 223, 256, 260 Born approximation 221, 225,228 -series 225 Bose-Einstein condensate 68, 173 Brillouin scattering, guided acoustic wave 393-397, 404, 406
F Fermat’s principle 16, 17 fiber-optic communication, quantum limits in 380 Fock state 189 four-wave mixing 377 Fraunhofer diffraction 234,260, 268 G Gaussian beam 4, 11, 17,43-50 geometrical optics 3, 9, 10, 20, 314 - -, basic equations of 5-14 - -, complex 4, 5, 11, 19, 26, 42, 50-53 - -, ray equation of 5 - -, transfer equation of 5 - - approximation 2 17 Glauber amplitude 224 -formula 224 Gouy phase shift 315, 338 Green’s function 8, 19,221, 279
C Clebsch-Gordan coefficients 127, 174, 184 coherent state 191, 192 complex rays 3,4, 12 - -, properties of 1544 - -, selection rules for 17, 18 - -, space-time 23, 24 - - in physical problems 27-43 - - - weakly absorbing media 39-42
D displaced-photon-number statistics 90 Doppler cooling 295, 329 - shift 295,327,331,337-339,360,367
H Hamilton-Jacobi equation 17 Haakel function 260 Heisenberg picture 70 helicity 294 Helmholtz equation 6, 7, 303 Hermite-Gaussian beam 48 - - mode 309,366 Hilbert space 65
E
eikonal approximation 215, 219-222, 227229 - -, applications of 268-282 - - in non-relativistic potential scattering 218-230 487
488
SUBJECT INDEX FOR VOLUME XXXIX
hologram, computer-generated 3 12, 3 13 -,volume 279 homodyne, balanced 392 - detection 63-100 - detector, eight-port 85, 89 - -, fow-port 70, 80, 85, 90 - -, multiport 89, 90 - -, six-port 84, 89 I ionosphere 3
J Jaynes-Cummings dynamics 167-1 7 1 - - model 97, 124, 164
K Kerr effect, nonlinear 377 - -, optical 375,376, 380-388 Kirchboff integral 46 - solution 5 Kramers-Kronig dispersion relation 249
L
Laguerre polynomial 119, 121,323 LaguerreGitlrssian beam 295,296,300,301, 322, 327,338, 339, 342-352, 362-366 - - mode 300,301, 306,309, 322,323, 327, 330, 336, 338,359, 366, 368 - - -, generation of 309-319 LambDicke parameter 168, 170 - - regime 166 Legendre polynomial 236 Liouville equation 357 Liouvillian 143, 144 Lippman-Schwinger equation 2 18, 220, 222 Lorentz gauge 297
M Mach-Zehnder interferometer 318, 323, 416, 428 magnetic tomography 127 maser,one-atom 385 Maslov’s asymptotic theory 26 -method 21,27 Maximum-entropy principle 153, 154 M e coefficients 252, 253 -theory 252
0 optical Bloch equations 329, 333, 334, 362 - homodyne tomography 101, 102, 160 - homodyning 69-100
P P-function, Glauber-Sudarshan 193 - -, positive 88-90 parametric amplification 94 - oscillator, nonlinear 377 paraxial approximation 43, 44, 296302 - wave equation 296, 307 partial wave expansion 224 Penning trap 182 phase-sensitive measurement of light 69-100 photodetection 195-1 97 photon statistics, subpoissonian 377 propagator approximation 221 propensity 87, 91, 118
Q
Q-function 66, 81-87, 89,95, 108, 193, 194, 385 -, reconstruction of 123 quadrature-component state 190 - squeezing 392, 397417,457 quantum nondemolition measurement 377, 418435 - - _ of the photon number 418-427 - state endoscopy 124 - - measurement,tomographic 65 --of matter ~ y S t e m s 157-187 - - reconstruction, tomographic 66 - - representation 189-195
R Rabi frequency, vacuum 97 radiation pressure 294 radiative transfer, theory of 17 Radon transform 101, 105, 160, 176, 185 Raman scattering, stimulated 376, 379, 387, 389,391,404,446 Raman-Nath approximation 279 Rayleigh range 44,300, 330 -scattering 386 RayleighGans approximation 234, 256 resonance fluorescence 377 Riccati-Bessel function 236 Riccati-Neumann function 236 rotating-wave approximation 331
SUBJECT MDEX FOR VOLUME XXXIX
Rutherford formula 226 , Rydberg wave packet 180 Rytov approximation 229 S s-parametrized functions 87, 192, 193 saddle-point method 5, 19, 2 1 Sagnac interferometer, asymmetric 4 4 8 4 5 1 Schrodinger equation 3, 113, 218, 219, 229 - -, nonlinear 390,405,439 second-harmonic generation 322 Sitenkmlauber approximation 2 15 soliton, experiments with 431435 -, quantum 380 - in optical fibers 375, 389 spiwrbit coupling of light 363-366 squeezed light 110 - vacuum 399, 410414 squeezing 377 -, amplitude 415 -, Kerr 399 -, photon-number 379, 380, 392, 435-458 -, pulsed 429, 452 -, quadrature 392,397417,457 stationary phase, method of 19
489
Stern-Gerlach apparatus 184 - - measurements 99 Struve function 256 superoperator 143 Susskind-Glogower operator 140 symplectic tomography 104
V vibrational wave packet 158 vibrations, anharmonic 160 von Neumann entropy 153
W Wigner function 67, 79, 87, 101, 108, 122, 131, 151, 169, 170, 172, 176, 177, 185, 193, 194, 385 Wittaker-Shannon sampling theorem 177 WKB approximation 221 -method 22 -phase 217 Y Yukawa potential 228,229
- - _ optical scattering 230-268 -equation 5,6,39,216,217 - -, complex 17 - - in anisotropic medium 24 eikonal-Born series 228,229 evanescent wave 4
A Airy function 26, 30 anomalous diffraction approximation (ADA) 217, 237,238
B back-action evading measurement 418, 432 balanced homodyning 73, 91, 92, 143, 151 Bernoulli process 196 - transformation 146 Bessel function 29, 223, 256, 260 Born approximation 221, 225,228 -series 225 Bose-Einstein condensate 68, 173 Brillouin scattering, guided acoustic wave 393-397, 404, 406
F Fermat’s principle 16, 17 fiber-optic communication, quantum limits in 380 Fock state 189 four-wave mixing 377 Fraunhofer diffraction 234,260, 268 G Gaussian beam 4, 11, 17,43-50 geometrical optics 3, 9, 10, 20, 314 - -, basic equations of 5-14 - -, complex 4, 5, 11, 19, 26, 42, 50-53 - -, ray equation of 5 - -, transfer equation of 5 - - approximation 2 17 Glauber amplitude 224 -formula 224 Gouy phase shift 315, 338 Green’s function 8, 19,221, 279
C Clebsch-Gordan coefficients 127, 174, 184 coherent state 191, 192 complex rays 3,4, 12 - -, properties of 1544 - -, selection rules for 17, 18 - -, space-time 23, 24 - - in physical problems 27-43 - - - weakly absorbing media 39-42
D displaced-photon-number statistics 90 Doppler cooling 295, 329 - shift 295,327,331,337-339,360,367
H Hamilton-Jacobi equation 17 Haakel function 260 Heisenberg picture 70 helicity 294 Helmholtz equation 6, 7, 303 Hermite-Gaussian beam 48 - - mode 309,366 Hilbert space 65
E
eikonal approximation 215, 219-222, 227229 - -, applications of 268-282 - - in non-relativistic potential scattering 218-230 487
488
SUBJECT INDEX FOR VOLUME XXXIX
hologram, computer-generated 3 12, 3 13 -,volume 279 homodyne, balanced 392 - detection 63-100 - detector, eight-port 85, 89 - -, fow-port 70, 80, 85, 90 - -, multiport 89, 90 - -, six-port 84, 89 I ionosphere 3
J Jaynes-Cummings dynamics 167-1 7 1 - - model 97, 124, 164
K Kerr effect, nonlinear 377 - -, optical 375,376, 380-388 Kirchboff integral 46 - solution 5 Kramers-Kronig dispersion relation 249
L
Laguerre polynomial 119, 121,323 LaguerreGitlrssian beam 295,296,300,301, 322, 327,338, 339, 342-352, 362-366 - - mode 300,301, 306,309, 322,323, 327, 330, 336, 338,359, 366, 368 - - -, generation of 309-319 LambDicke parameter 168, 170 - - regime 166 Legendre polynomial 236 Liouville equation 357 Liouvillian 143, 144 Lippman-Schwinger equation 2 18, 220, 222 Lorentz gauge 297
M Mach-Zehnder interferometer 318, 323, 416, 428 magnetic tomography 127 maser,one-atom 385 Maslov’s asymptotic theory 26 -method 21,27 Maximum-entropy principle 153, 154 M e coefficients 252, 253 -theory 252
0 optical Bloch equations 329, 333, 334, 362 - homodyne tomography 101, 102, 160 - homodyning 69-100
P P-function, Glauber-Sudarshan 193 - -, positive 88-90 parametric amplification 94 - oscillator, nonlinear 377 paraxial approximation 43, 44, 296302 - wave equation 296, 307 partial wave expansion 224 Penning trap 182 phase-sensitive measurement of light 69-100 photodetection 195-1 97 photon statistics, subpoissonian 377 propagator approximation 221 propensity 87, 91, 118
Q
Q-function 66, 81-87, 89,95, 108, 193, 194, 385 -, reconstruction of 123 quadrature-component state 190 - squeezing 392, 397417,457 quantum nondemolition measurement 377, 418435 - - _ of the photon number 418-427 - state endoscopy 124 - - measurement,tomographic 65 --of matter ~ y S t e m s 157-187 - - reconstruction, tomographic 66 - - representation 189-195
R Rabi frequency, vacuum 97 radiation pressure 294 radiative transfer, theory of 17 Radon transform 101, 105, 160, 176, 185 Raman scattering, stimulated 376, 379, 387, 389,391,404,446 Raman-Nath approximation 279 Rayleigh range 44,300, 330 -scattering 386 RayleighGans approximation 234, 256 resonance fluorescence 377 Riccati-Bessel function 236 Riccati-Neumann function 236 rotating-wave approximation 331
SUBJECT MDEX FOR VOLUME XXXIX
Rutherford formula 226 , Rydberg wave packet 180 Rytov approximation 229 S s-parametrized functions 87, 192, 193 saddle-point method 5, 19, 2 1 Sagnac interferometer, asymmetric 4 4 8 4 5 1 Schrodinger equation 3, 113, 218, 219, 229 - -, nonlinear 390,405,439 second-harmonic generation 322 Sitenkmlauber approximation 2 15 soliton, experiments with 431435 -, quantum 380 - in optical fibers 375, 389 spiwrbit coupling of light 363-366 squeezed light 110 - vacuum 399, 410414 squeezing 377 -, amplitude 415 -, Kerr 399 -, photon-number 379, 380, 392, 435-458 -, pulsed 429, 452 -, quadrature 392,397417,457 stationary phase, method of 19
489
Stern-Gerlach apparatus 184 - - measurements 99 Struve function 256 superoperator 143 Susskind-Glogower operator 140 symplectic tomography 104
V vibrational wave packet 158 vibrations, anharmonic 160 von Neumann entropy 153
W Wigner function 67, 79, 87, 101, 108, 122, 131, 151, 169, 170, 172, 176, 177, 185, 193, 194, 385 Wittaker-Shannon sampling theorem 177 WKB approximation 221 -method 22 -phase 217 Y Yukawa potential 228,229