Page 406 - Phase Space Optics Fundamentals and Applications

Index 387

Dispersion volume, 152–153 Fraunhofer diffraction, 132, 167,
Dispersive delay line, 356, 360 226, 302
Frequency shifter, 359
Fresnel integral, 48, 150, 186,
E
290–291
Eikonal, 239–242
Fresnel approximation, 18, 139
eikonal equation, 239, 245, 250,
Fresnel diffraction, 47, 50,
256 288–291
Encoding. See Multiplexing Fresnel kernel, 350–351
Encoding mask, 197–201 temporal, 353
Encryption, 63, 88, 94–95 Fresnel transform, 65, 315–317,
Envelope, 100, 133, 339, 341 322
EOSI, 376–377
Equivalent optical processor, G
171–173 Gabor representation, 265
Extended depth of field, 183, 188. Gabor spectrogram, 347, 363
See also Aberrations, Gauss’ theorem, 246, 259
tolerance to focus error
Gaussian beam, 79, 261–266
angular spectrum of, 234
F beam parameter, 353, 356–357
Far field condition, 225–226 characterization, 24–25, 96–99
Feynman path integral, 275 conversion, 73, 87, 96
Filter frozen Gaussian, 269
frequency-stationary, 359 Gaussian light, 9–11
nonstationary, 359, 361–363, 378 symplectic, 11
time-stationary, 359, 361 Gaussian Schell-model, 10–11
Focal depth, 157, 183 Gouy phase, 99–101, 248, 250
Fourier transform, 63 accumulation of, 100–101
definition, 3, 65, 109, 281 Hermite-Gaussian, 80–84, 95
Fourier series, 286–287, 326 Laguerre-Gaussian, 80–84,
Fourier spectrum, 68, 167, 300 93, 95
Fourier transform compact mode conversion, 95–96
support theorem, 322 parabasal Gaussian beams,
spatial, 5, 224–225 261–264
temporal, 3 phase-space area, 265
Fractional correlation, 91, sums of, 264–266
158–161 vortex, 24, 98
multichannel, 159–161 Wigner distribution moments
Fractional Fourier transform, of, 97
15–18, 20, 34, 69–73, 260 Generalized lens, 84
antisymmetric, 68 Generalized marginals, 16–18,
definition, 15, 112 110–111
and Fresnel diffraction, 118 Generalized pupil, 124, 143,
implementation of, 118–119 176–187
parallel transformer, 119 Generalized sampling theory,
separable, 67, 70, 86 310–311, 322, 325,
symmetric, 71, 95 328–330