Page 407 - Phase Space Optics Fundamentals and Applications

388 Index

Geometrical optics, 22–24, 51–52, J
171, 187, 238–240, 353 Jacobi identity, 127
para-geometrical optics, 289
Group delay, 340, 346–347, 366 K
Gyrator, 20–21, 28, 67–68, 73–87
Kirchhoff’s approximation, 298
H
Hamilton characteristic, 22, 350 L
Hamiltonian, 251 Lagrange manifold, 243–244, 261,
Hann(ing) window, 9, 37–39 271
Harmonic oscillator, 70 Lagrangian, 252
Helmholtz equation, 23, 233, 238, Lau condition, 303–304
247, 254, 262–264 Lau effect, 285, 302–303
Hermitian operator, 68 Light gathering power, 178
High focal depth. See Focal depth Linear canonical transform. See
Human eye, 144–146, 148 Canonical transform
Husimi function. See Spectrogram Local flux, 250
Hydrodynamic model, 253 Local frequency, 11, 317. See also
Instantaneous frequency
I Luneburg’s first-order optical
systems, 18, 22
Illuminance, 148, 150–151
Image space trajectories, 127–128
Impulse response, 3, 52, 170–172, M
174–176, 181 Maclaurin power series, 179–180,
of free space, 284, 288 188
Incoherent source, 53–54, 304–305 Maslov method, 260–261
In-line hologram, 58–59 Maslov phase, 248
Input-output relationship, 3–4, Matched filter, 158–159
21–22, 25, 28 Matrix optics, 282
Instantaneous frequency, 5, 8, McCutchen theorem, 181, 188
14–15, 32, 339, 346, Measurement function, 349, 367
355, 366 Merit function, 138–151
Intensity spectrum, 45–49, 53–54, Mode presentation, 82–84
56, 58 Modulation transfer function
Isoplanatic imaging, 52–53 (MTF), 176–178, 185–188
Irradiance, 122, 125–133, 170, Moments
173–174, 219 global, 97
axial. See Axial irradiance measurement of, 29
computation of, 129–132 moment invariants, 25–26
field irradiance, 123 for phase-space rotators,
polychromatic irradiance, 144, 26–28
153 propagation laws, 34–35
spectral irradiance. See Radiant second order, 13, 24–25, 34,
exitance, spectral 97–100
Iwasawa decomposition, 66–67, symplectic moment matrix,
95, 100 28–29