Page 411 - Phase Space Optics Fundamentals and Applications

392 Index

T Volterra series, 173
Volterra transformation, 174
Talbot effect, 133, 284–286
fractional, 285, 290–295
fractional Talbot plane, 289, W
296–297 Walk-off effect, 133, 289–290
Talbot array generator, 285 Wavefront coding, 185–188
Talbot coefficient, 294–298 Whittaker-Shannon sampling. See
Talbot distance, 285, 288–289, Shannon sampling
300 Wigner distribution function, 5, 8,
Talbot image, 289 46, 165
Talbot length. See Talbot auto-term, 30–32, 36, 38–39
distance basic examples, 7
Time gate, 347, 359–360, 362, 368, bilinearity, 313
370–376 binary grating, 136–137
Time-invariant system, 3 chirp, 283
Tolerance to focus error. See comb function, 291–292, 318
Aberrations sheared, 319–320
Tomographic reconstruction, convolution, 283
56, 59, 108, 134–135, cross-term, 30–32, 37–38, 282,
366–369 287–288, 301, 319
Transfer function, 143, 359–360, definition, 6, 46, 108–109, 195,
371. See also Optical 228, 280, 312–313, 344
transfer function Fourier series, 286
absorption transfer function inverse, 12, 109
(ATF), 49 marginals, 11, 107, 109, 111, 281
phase-transfer function (PTF), measurement apparatus, 349,
49 360, 363
Transfer matrix. See Ray transfer modulation, 283
matrix moment invariants of, 25–26
Transport equation, 23, 245, 256, moments of, 6, 13, 24–25, 27, 34
268, 369 periodic signal, 286
momentum, 258–259 plane wave, 7–8
Trichromacy, 144 point source, 7–8
Tristimulus, 145–146, 148 polar coordinates, 89
Total flux, 247 projections of, 16–17, 76, 86, 109,
135–136, 281
propagation, 18–24, 282
V properties of, 12–15
Vander Lugt processor, 90–93, relation to ambiguity function,
157 6, 47, 169, 344–345
fractional correlation, 91–92, relation to fractional Fourier
158–160 transform, 15–18. See also
Van Vleck-Gutzwiller Radon-Wigner transform
propagator, 253 radiometric quantities, 12–14
Visibility, 222–224, 371, 373 Radon transform of. See
Volterra kernel, 175, 187 Radon-Wigner transform