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| Goodman J.W. — Introduction to Fourier Optics |
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| Предметный указатель |
Abbe theory of image formation 129 218
Abbe — Porter experiments 218—220
Abbe, E. 126 129
ABCD matrix see “Ray-transfer matrix”
Aberrations 100 128 145—151
Aberrations, and amplitude transfer function, and optical transfer function, effects on 146—151
Aberrations, and amplitude transfer function, effects on 146
Aberrations, and amplitude transfer function, in holography 363
Acoustic holography 319
Acousto-optic effect 206
Acousto-optic signal processing 276—281
Acousto-optic spatial light modulators 205—209
Adjacency effect 183
Agfa — Gevaert Scientia series 346
Airy pattern 77
Airy, G.B. 77
Alignment direction, for liquid crystal molecule 186
Alignment layer, for liquid crystal cell 188
Amplitude impulse response 133
Amplitude mapping, by a photographic emulsion 178—180
Amplitude transfer function 135—137
Amplitude transfer function, for hologram 363
Amplitude transmittance, definition 59
Amplitude transmittance, of photographic emulsion 178—180
Amplitude transmittance, vs.exposure curve 179—180
Analytic continuation 161
Anamorphic processor 234
Angle mismatch, for thick hologram 339
Angle multiplexing, in holography 383
Angular spectrum, of plane waves 55—61
Angular spectrum, propagation of 57—58
Anisotropy, of liquid crystals 190
Antenna designer's formula 74
Anti-reference wave 310 324 325 379
Apodization 151—154
Apodization, Gaussian 152
Apodization, inverse 154
Arago, F. 35
ASA speed, of a photographic emulsion 313
Aspheric wavefront 211
Autocorrelation theorem 9
Autocorrelation theorem, proof 397
Axial magnification, in holography 317
Axicon see “Conical lens”
Azimuthal image, in synthetic aperture radar 267
Backpropagation algorithm 386
Bandlimited function 23
Bandwidth extrapolation 160—165
Bandwidth extrapolation, and sampling theorem 162—164
Bandwidth extrapolation, intuitive explanation 161—162
Bandwidth extrapolation, iterative method 164—165
Bandwidth extrapolation, practical limitations 165
Barium titanate 348
Benton, S. 324
Besinc function 16
Bessel function 11 12 297
Binary intensity modulator 193
Binary optics 210—214
Binary optics, fabrication 213—214
Binomial expansion 66
Bipolar data, processing with incoherent systems 287—289
Birefringence, of liquid crystals 190
Bismuth germanium oxide 348
Bismuth silicon oxide 348
Bistability, in ferroelectric liquid crystal 189
Bleaching, of photographic emulsion 183—184
Blur point-spread function 264
Bocker, R.P. 283
Booth, B.L. 348
boundary conditions 37
Boundary diffraction 54—55
Bracewell, R.N. 5 26
Bragg angle 207
Bragg cell spectrum analyzer 276—278
Bragg condition 332
Bragg degeneracy 332 387
Bragg diffraction 330
Bragg effect 207
Bragg regime, of acoustic diffraction 206 208 209
Bragg, W.L. 295
Braunecker, B. 256
Brooks, R.E. 373
Brown, B.R. 355
Bryngdahl, O. 367
Burckhardt, C.B. 295 360
Butterweck, H.J. 114
Cadmium sulfide 194
Cadmium telluride 195
Carrier frequency 241
Casasent, D. 253 256
Caulfield, H.J. 256 287 295
Central dark ground imaging 220 290
Character recognition, with coherent optics 246—257
Characteristic impedance 64
Charge transport, in photorefractive materials 349 350
Charge-coupled detector array 281
Chemical bleaching 183—184
Chirp function 17n 30 267
Cholesteric liquid crystal 186
Chromatic blur, in holography 321
Circle function, definition 14 15
Circle function, Fourier transform of 15 16
Circuit theory, approximations of 38
Circular harmonic correlation 254—256
Circular harmonic decomposition 254
Circular symmetry 11
Circularly polarized light 416
CMOS see “Complementary metal oxide silicon”
Cochran, G. 369
Coherence 4
Coherence length 313
Coherent imaging, vs.incoherent imaging 154—160
Coherent optical processing architectures 232—236
Colburn, W.S. 348
Collier, R.J. 295
Comb function, definition 13
Common path interferometry 382
Compensating filter 222
Compensating plate 380
Complementary metal oxide silicon (CMOS) 202
Complex data, processing with incoherent systems 289
Complex exponential functions 7 22
Computer-generated hologram 351—363
Computer-generated hologram, computational problem of 354—355
Computer-generated hologram, devices for plotting 351
Computer-generated hologram, representational problem of 355—363
Computer-generated hologram, sampling problem of 352—354
Confocal spherical surfaces, diffraction between 72
Conical lens 121 271
Conjugate planes 407—408
Contour generation, with holography 375—376
Contrast ratio, of liquid crystal cell 196
Contrast reversal 89 147
Converging lens see “Positive lens”
Conversion gain, in holography 369
Convolution integral 22
Convolution theorem 9
Convolution theorem, proof 396
Convolution, with incoherent processing 226—229
Convolution, with joint transform correlator 245
Convolution, with VanderLugt filter 241
Coordinate rotation, Jones matrix representation 191
Cornu's spiral 85n
Corpuscular theory 33
Coupled mode theory 336—346
Coupling constant, for a thick hologram 338
Cross, L. 326
Cross-linking, of gelatin molecules 184
Cross-linking, of photopolymer molecules 347
Crossbar switch, based on matrix-vector multiplier 286
| Crosscorrelation, with joint transform correlator 245
Crosscorrelation, with VanderLugt filter 241
Cutrona, L.J. 224
Cylindrical lens 120
Data storage, holographic 382—384
Deformable mirror, spatial light modulators 200—202
Deformable mirror, spatial light modulators, and cantilever beam 201
Deformable mirror, spatial light modulators, and membrane 200
Deformable mirror, spatial light modulators, and torsion beam 201
Degradation of holographic images 363—369
Delta functions 7 393—395
Denisyuk, Y.N. 296 321
Density, photographic see “Photographic density definition”
Depth distortion, in holography 318
Detour phase 355—360
Detuning parameter, for thick hologram 338
Develis, J.B. 295
developer 174
Development speck 174
Diamond turning 214
Dichromate 348
Dichromated gelatin 348
Diffracted rays 55
Diffraction 32
Diffraction efficiency 330
Diffraction efficiency, and volume gratings 346
Diffraction efficiency, definition 81
Diffraction efficiency, of binary optic element 211 214
Diffraction efficiency, of general periodic grating 92
Diffraction efficiency, of sawtooth grating 211
Diffraction efficiency, of sinusoidal amplitude grating 81
Diffraction efficiency, of sinusoidal phase grating 82—83
Diffraction efficiency, of thick holograms 336—346
Diffraction, by a conducting half-plane 55
Diffraction-limited system, definition 128
Diffractive optical elements 209—214
Diffuse object 367
Diffuser 160
Diffusion, in a photographic emulsion 181
Direction cosine 56
Discrete analog optical processors 282—289
Discrete Fourier Transform 355
Distorting media, imaging through 378—382
Diverging lens see “Negative lens”
Doppler history 267
Doppler shifts, from acoustic grating 207
Doppler shifts, in synthetic aperture radar 267
Driffield, V.C. 175
Dudgeon, D.E. 26
Duffieux, P.M. 126
Dynamic range, of inverse filter 258 261
Dynamic range, of Wiener filter 263
Edge images, in coherent and incoherent light 158—159
Eigenfunction, Bessel function as 29
Eigenfunction, complex exponentials as 22
Eigenfunction, definition 22
Eigenvalue 22
Eikonal equation 402
Eikonal function 402
El-Sum, H.M.A. 296 372
Electric dipole, in a liquid crystal molecule 188
Electro-optic effect, in photorefractive materials 349
Electroforming process 329
Electron holography 295
Electronic charge 64
Elementary function 20 22
Elias, P. 223
Embossed hologram 328—329
embossing 210
Emulsion, photographic 173
Energy spectrum 103
Entrance pupil 127 128
Equivalent area 28
Equivalent bandwidth 28
Erasure, in photorefractive materials 350 387
Evanescent waves 58
Exciton 202 203
Exit pupil 127 128
Exposure, definition 174
Extraordinary refractive index 190
F-number, of a lens 170
Fabry — Perot etalon 204
False images, in holography 367
Far field 74
Faraday effect 198
Faraday rotation 215 216
Fast Fourier Transform 355
Ferroelectric liquid crystal 186—187 189 190—194
Ferroelectric liquid crystal, and spatial light modulator 197—198
FET-SEED 205
Film grain noise, effects in holography 368—369
Film MTF, effects in holography 363—367
Film nonlinearities, effects in holography 367—368
Filter realization, constraints of 236—237
Finite thickness, effects with volume grating 333—336
Fixing, for photorefractive materials 350
Fixing, of photographic image 174
Focal length 99
Focal plane 101 104 408—409
Focal properties, of synthetic aperture radar data 268—271
Focusing error 148—151
Fourier coefficient 356
Fourier hologram, computer-generated 352—353
Fourier integral 5
Fourier integral theorem 9
Fourier integral theorem, proof 397—399
Fourier integral, three-dimensional 335
Fourier transform hologram 320 365
Fourier transform, as decomposition 7
Fourier transform, definition 5
Fourier transform, existence conditions of 5
Fourier transform, generalized 6
Fourier transform, inverse 5
Fourier transform, optical 101—107
Fourier transform, optical, exact 104
Fourier transform, optical, example of 107
Fourier transform, optical, geometries 101—107
Fourier transform, optical, input against lens 102—104
Fourier transform, optical, input behind lens 106—107
Fourier transform, optical, input in front of lens, optical, location of transform plane 119
Fourier transform, optical, of array of one-dimensional functions 122
Fourier transform, optical, vignetting effect 105—106
Fourier transform, pairs, table of 14
Fourier transform, theorems 8 395—399
Fourier transform, two-dimensional 7
Fourier transform, with lens 104—106
Fourier — Bessel transform 12 28
Fraunhofer approximation 63 73—75
Fraunhofer diffraction 74
Fraunhofer diffraction pattern, obtained with lens 103
Fraunhofer diffraction, by circular aperture 77—78
Fraunhofer diffraction, by rectangular aperture 75—77
Fraunhofer diffraction, by sinusoidal amplitude grating 78—81
Fraunhofer diffraction, by sinusoidal phase grating 81—83
Fraunhofer diffraction, distance required for 74
Fraunhofer hologram 319 321
Frequency spectrum, of coherent image intensity 155
Frequency spectrum, of incoherent image intensity 155
Fresnel approximation 63 66—67
Fresnel approximation, accuracy of 69—71
Fresnel diffraction integral 67
Fresnel diffraction integral, as convolution 67
Fresnel diffraction integral, as Fourier transform 67
Fresnel diffraction, between confocal spherical surfaces 72
Fresnel diffraction, by square aperture 84—87
Fresnel hologram 319 321
Fresnel hologram, computer-generated 353—354
Fresnel integral 18 69 84
Fresnel number 85
Fresnel zone plate 124
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