570
Index
Fermi velocity, 7, 170, 239n1, 242, 243, 254
Fermi’s rule, 252
Fibonacci arrays, 335, 351, 361, 364, 365
Fibonacci golden number, 342
Fibonacci quasicrystal, 333
Fibonacci sequence, 343, 364
Fibonacci structures, 338, 364
Figure of merit (FOM), 409, 415, 426, 453,
454
Finite-difference methods, 381
Finite-difference time domain (FDTD)
algorithm, 465
calculations, 466, 467, 469
method, 116
numerical simulations, 370
simulations, 363, 368–369, 378, 480,
481, 482, 483, 493
Finite-element methods, 197, 216, 224, 381,
405, 423
Floquet-Bloch expansion, 380
Fluctuation-dissipation theorem, 242n2,
284, 286, 287
Fluorescence immunoassay, 520
Fluorescence resonance energy transfer
(FRET), 544, 546, 553
amplification, 559
efficiency, 545
Förster’s FRET, 548
mechanism, 557
plasmon-assisted transfer, 552
quenching, 550
theory, 551
Fluorescence sensing, 432
Focused ion beam (FIB), 352, 353, 464, 470,
482
Form birefringence, 422
Förster’s transfer, 547, 551, 552
Fourier space, 331, 340, 346, 347, 365, 368,
370
aperiodic, 352, 371
circularly-symmetric, 341, 366
reciprocal, 332, 333, 335, 347,
rotationally symmetric, 342
Fourier transforms, 40, 50, 143, 240, 248,
249, 250, 274, 288, 336, 337, 346,
421
Fourier–Hankel decomposition (FHD), 343
Fourier–Hankel transform, 344
Free-induction decay, 248, 249, 271, 272
Free-space vortex fields, 444
Frequency resolved optical-gating (FROG)based technique, 271, 272
algorithm, 275
characterization, 273
measurements, 274
retrieval algorithm, 273
Fresnel coefficient, 303
Fresnel reflection factors, 6, 264, 306
Frustrated modes, 308–309, 310, 311, 312,
314, 318
Full width at half maximum (FWHM), 142,
143, 272, 295
G
Galois field array, 345
Gap-labeling theorem, 336
Gaussian beam profile, 272
Gaussian prime array, 345, 346, 353, 361
Gaussian primes (GP), 345
Gaussian pulse, 49
Generalized Mie theory (GMT), 141, 351,
363
Generation threshold, 69, 70, 72, 73, 76, 77
Gersten–Nitzan model, 551
Glan polarizer, 213
Glan-Thompson analyzer, 425
Glan-Thompson polarizer, 425
Gold nanoaggregates, 119
Gold nanospheres, 5, 60, 87, 114, 185, 187,
193, 216
Golden angle, 341, 342, 370
Green dyadic (Green’s dyadic), 302, 530,
533, 535, 548, 550, 551, 554, 557,
561, 562, 563, 564
Green function (Green’s function), 2, 22, 23,
24, 25, 26, 27, 36, 38, 40, 224,
225, 301, 302, 395,
dyadic, 39302
periodic, 225
retarded, 22–24
retarded dyadic, 24, 39
Green tensor, 285, 302, 310
Gyration radius, 19, 20
H
Hagen-Rubens regime, 242
Hankel function, 482
Heat transfer. See also Radiative heat transfer at nanoscale; Surface-waves
assisted thermal emission
fundamental limits for, 306–308
Helmholtz equation, 223, 224, 225, 449, 477,
478, 482, 494
two-dimensional, 482
Hermite-Gaussian (HG) beams, 52, 53
Index
Fermi velocity, 7, 170, 239n1, 242, 243, 254
Fermi’s rule, 252
Fibonacci arrays, 335, 351, 361, 364, 365
Fibonacci golden number, 342
Fibonacci quasicrystal, 333
Fibonacci sequence, 343, 364
Fibonacci structures, 338, 364
Figure of merit (FOM), 409, 415, 426, 453,
454
Finite-difference methods, 381
Finite-difference time domain (FDTD)
algorithm, 465
calculations, 466, 467, 469
method, 116
numerical simulations, 370
simulations, 363, 368–369, 378, 480,
481, 482, 483, 493
Finite-element methods, 197, 216, 224, 381,
405, 423
Floquet-Bloch expansion, 380
Fluctuation-dissipation theorem, 242n2,
284, 286, 287
Fluorescence immunoassay, 520
Fluorescence resonance energy transfer
(FRET), 544, 546, 553
amplification, 559
efficiency, 545
Förster’s FRET, 548
mechanism, 557
plasmon-assisted transfer, 552
quenching, 550
theory, 551
Fluorescence sensing, 432
Focused ion beam (FIB), 352, 353, 464, 470,
482
Form birefringence, 422
Förster’s transfer, 547, 551, 552
Fourier space, 331, 340, 346, 347, 365, 368,
370
aperiodic, 352, 371
circularly-symmetric, 341, 366
reciprocal, 332, 333, 335, 347,
rotationally symmetric, 342
Fourier transforms, 40, 50, 143, 240, 248,
249, 250, 274, 288, 336, 337, 346,
421
Fourier–Hankel decomposition (FHD), 343
Fourier–Hankel transform, 344
Free-induction decay, 248, 249, 271, 272
Free-space vortex fields, 444
Frequency resolved optical-gating (FROG)based technique, 271, 272
algorithm, 275
characterization, 273
measurements, 274
retrieval algorithm, 273
Fresnel coefficient, 303
Fresnel reflection factors, 6, 264, 306
Frustrated modes, 308–309, 310, 311, 312,
314, 318
Full width at half maximum (FWHM), 142,
143, 272, 295
G
Galois field array, 345
Gap-labeling theorem, 336
Gaussian beam profile, 272
Gaussian prime array, 345, 346, 353, 361
Gaussian primes (GP), 345
Gaussian pulse, 49
Generalized Mie theory (GMT), 141, 351,
363
Generation threshold, 69, 70, 72, 73, 76, 77
Gersten–Nitzan model, 551
Glan polarizer, 213
Glan-Thompson analyzer, 425
Glan-Thompson polarizer, 425
Gold nanoaggregates, 119
Gold nanospheres, 5, 60, 87, 114, 185, 187,
193, 216
Golden angle, 341, 342, 370
Green dyadic (Green’s dyadic), 302, 530,
533, 535, 548, 550, 551, 554, 557,
561, 562, 563, 564
Green function (Green’s function), 2, 22, 23,
24, 25, 26, 27, 36, 38, 40, 224,
225, 301, 302, 395,
dyadic, 39302
periodic, 225
retarded, 22–24
retarded dyadic, 24, 39
Green tensor, 285, 302, 310
Gyration radius, 19, 20
H
Hagen-Rubens regime, 242
Hankel function, 482
Heat transfer. See also Radiative heat transfer at nanoscale; Surface-waves
assisted thermal emission
fundamental limits for, 306–308
Helmholtz equation, 223, 224, 225, 449, 477,
478, 482, 494
two-dimensional, 482
Hermite-Gaussian (HG) beams, 52, 53