Page 409 - Phase Space Optics Fundamentals and Applications

390 Index

Phase-space diagram, 194, 205, Pseudo-Wigner distribution, 9,
207–209, 281, 314–316 35–39
of a comb function, 292 Pulse characterization, 357–361
of a function with finite local Pulse velocity, 341
support, 324 Pupil, 53, 57–58, 122–123, 148
of a periodic function, 287 generalized, 124, 143, 176, 178,
of a sampled LCT, 331 181–182
Phase-space optics, 46, 279–282 mapped, 125, 127–129, 147
Phase-space representations, 173, normalized, 129
270, 283, 338, 347–349, pupil mask, 156–157, 172,
351–354 180–184
Phase-space rotator, 19–21, 63, 66, synthesized, 157
67–74
convolution theorem, 77 Q
eigenfunctions for, 80–82
Quadratic phase element,
moment invariants for. See
186–188
Moments
Quantum mechanics, 250–253,
optical setups, 84–88
256, 314
properties, 74–78
Quantum potential, 253
scaling theorem, 77
of selected functions, 78–80
shift theorem, 77 R
similarity to fractional Fourier Radiance, 219–221
transform, 76 generalized, 6
Phase-space tomography, 55–56, spectral, 220, 226, 228–234
96, 134–138 Radiant emittance, 13–14
Pilot wave, 253 Radiant exitance, 218
Planck constant, 250 spectral, 219, 228, 230, 232–234
Plane wave, 4, 7–8, 234, 281–282, Radiant incidence. See Irradiance
285, 316, 350 Radiant intensity, 220
Point source, 4, 7, 33, 139, 298, spectral, 229, 232–233, 235
303–305, 316 Radiant power, 118–220
Point-spread function (PSF), 3, spectral, 218, 220, 226–230,
147, 185–186 232–234
axial. See Axial point-spread Radiometry
function conventional, 217–220
coherent. See Impulse response generalized, 217–218
Polychromatic illumination, 142, Radius of curvature, 299–300, 353
144, 147, 151 Radon transform, 16–17, 56,
Power spectrum, 4, 89, 281, 292, 110–114, 135, 368
303 inverse, 56, 135, 157, 368
Product-space representation, 47, Radon-Wigner transform (RWT),
166–165 89, 94, 108, 111
Product spectrum ambiguity function and, 112
representation, 166–173, achromatic system design,
175, 179, 184, 187 151–156
Projected area, 219 canonical transform, 113–114