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Osche G.R. — Optical detection theory for laser applications
Osche G.R. — Optical detection theory for laser applications

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Название: Optical detection theory for laser applications

Автор: Osche G.R.

Аннотация:

A comprehensive treatment of the fundamentals of optical detection theory. Addresses the theoretical aspects of optical detection associated phenomenologies, describing the fundamental optical, statistical, and mathematical principles of the modern laser system.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 412

Добавлена в каталог: 21.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
ABCD ray transfer matrix      79
Additive nature of Gaussian processes      329
Airy pattern      73 98 116
Alternate incomplete gamma function      373
Angular uncertainty, beam spread      95
Aperture averaging and integrated intensity      174
Aperture averaging in direct detection      150 302
Aperture averaging, factor      204
Aperture averaging, incoherent detection      150 302
Aperture transfer function      174 233
Area receiver      234
Area statistics of speckle field      see "Integrated statistics"
Array theorem      104
Atmospheric clutter      306
Atmospheric turbulence and beam wander      212
Atmospheric turbulence and conservative passive additive      185
Atmospheric turbulence and one-way communication links      298 339
Atmospheric turbulence as a homogeneous medium      184
Atmospheric turbulence as an inhomogeneous medium      185
Atmospheric turbulence, beam-wave theories of      184
Atmospheric turbulence, bistatic geometry in      298 339
Atmospheric turbulence, coherent detection in      338
Atmospheric turbulence, constant amplitude signal in      339
Atmospheric turbulence, correlation function of      196
Atmospheric turbulence, direct detection in      297
Atmospheric turbulence, frozen-in model      183
Atmospheric turbulence, inertial sub-range      185
Atmospheric turbulence, inner and outer scales of turbulence, definition of      185
Atmospheric turbulence, isotropy      185
Atmospheric turbulence, Kolmogorov theory of turbulence      185—186
Atmospheric turbulence, monostatic geometry in      302 306 343
Atmospheric turbulence, normalized correlation function for      196
Atmospheric turbulence, plane wave theory of      190
Atmospheric turbulence, power spectral density of the refractive index fluctuations      191
Atmospheric turbulence, power spectral density of the refractive index fluctuations, Kolmogorov spectrum      193 200
Atmospheric turbulence, power spectral density of the refractive index fluctuations, modified von Karman spectrum      194 200
Atmospheric turbulence, power spectral density of the refractive index fluctuations, Tatarski spectrum      193
Atmospheric turbulence, Rayleigh fluctuating signal in      344
Atmospheric turbulence, refraction index structure function      186
Atmospheric turbulence, refractive index structure constant      186
Atmospheric turbulence, Rytov method      188
Atmospheric turbulence, Rytov parameter      196
Atmospheric turbulence, saturation length      211
Atmospheric turbulence, saturation of scintillation      217
Atmospheric turbulence, spherical wave theory of      190
Atmospheric turbulence, strong turbulence theory      217
Atmospheric turbulence, structure constant, definition of      185
Atmospheric turbulence, supersaturated regime      217
Atmospheric turbulence, Tatarski theory of      187
Atmospheric turbulence, transverse correlation length of      201 339
Atmospheric turbulence, turbulence-induced speckle      182
Atmospheric turbulence, turbulent eddies      183 221
Atmospheric turbulence, two-dimensional spectral density      3—67
Atmospheric turbulence, two-thirds law      185
Atmospheric turbulence, universal theory of turbulence      218
Atmospheric turbulence, variance of amplitude and intensity      201—202
Atmospheric turbulence, variance of log amplitude and intensity      201—202
Atmospheric turbulence, wave structure function      199
Atmospheric turbulence, weak turbulence theory      187
Autocorrelation function      42
Autocorrelation function of the intensity      175 177
Avalanche photodiode (APD)      61 140 276
Avalanche photodiode (APD), Mcintyre distribution, probability density function for      278
Avalanche photodiode (APD), WMC distribution, for diffuse targets      288
Avalanche photodiode (APD), WMC distribution, for specular targets      279
Avalanche processes      140—141
Average value      see "Statistical parameters"
Background radiation      143
Backpropagated local oscillator      115 118
Backscatter amplification effect      303 306 343
Beam modes or wavefunctions      75
Beam wander      see "Atmospheric turbulence"
Bernoulli trials      7 296 388
Bessel functions of the first kind, zeroth order      33
Bessel functions, integral representation of      70
Binary detection      47
Binary integration algorithm      381
Binary integration algorithm and Poisson signal in Poisson noise      383
Binary optical communications system      52
Binomial distribution      7 249 382
Binomial expansion      246 264
Bistatic reflectance      168
bit error rate (BER)      53
Bivariate or second order statistics      16
Born approximation      188
Bose — Einstein distribution as limit of negative binomial distribution      250
Bose — Einstein distribution for signal in turbulence      304
Bose — Einstein distribution, definition of      250
Bulk dark current      141
Bunching and anti-bunching statistics      64 290
Burgess variance theorem      289 402
Campbell's theorem      139
Capture efficiency      120
Center of mass, statistical analog of      10
Central-limit theorem      30
Centrally obscured aperture      73
Characteristic function for chi-squared distribution      35 260
Characteristic function for Gaussian distribution      29 267
Characteristic function for integrated intensity      235
Characteristic function for Kummer's distribution      254
Characteristic function for negative binomial distribution      252
Characteristic function for negative exponential distribution      235
Characteristic function for noncentral chi-squared distribution      35 260
Characteristic function for parabolic-cylinder distribution      271
Characteristic function for Poisson distribution      242
Characteristic function for Poisson signal in Poisson noise      243
Characteristic function, definition of      27
Chi-squared distribution, probability density function for      34
Clutter sources      142
Clutter speckle      307
Coherence parameter      220 265 336
Coherence, area      154
Coherence, complex coherence factor      153 180
Coherence, complex degree of      153 157
Coherence, complex degree of spatial coherence      153
Coherence, complex degree of temporal coherence      153
Coherence, degree of coherence      153—154 157 177
Coherence, time      154
Coherent detection statistics for constant amplitude signal in Gaussian noise      320
Coherent detection statistics for constant amplitude signal in turbulence      339
Coherent detection statistics for constant amplitude signal, Gaussian approximation      324—325
Coherent detection statistics for one-dominant plus Rayleigh signal      331
Coherent detection statistics for Rayleigh fluctuating signal in Gaussian noise      328
Coherent detection statistics for Rayleigh fluctuating signal in turbulence      344
Coherent detection statistics for Rician signal in Rician noise      334
Coherent detection statistics in terms of power variables      325
Coherent or heterodyne detection      2 62—66 318—319
Coherent state      64
Coherent-detection signal-to-noise ratio with truncated beams      125
Coherent-detection signal-to-noise ratio with untruncated beams      117
Coincidence detection algorithm      see "Binary integration algorithm"
Coincidence detection for APD Geiger-mode detectors      384
Coincidence detection for APD Geiger-mode detectors, correction factors for      387
Coincidence detection for APD Geiger-mode detectors, measurement intervals for      386
Collimated beams      71 103 123 128
Comparison of coherent and direct detection statistics      346
Complementary error function      269
Complex beam parameter, definition of      76
Complex number, definition of      27
Complex scalar field amplitude      3—4
Complex surface      4—39 5—22
Complex wave amplitude      69
Computer generated images of Airy pattern      73
Computer generated images of fully developed speckle      228
Computer generated images of Gaussian beam speckle      109
Computer generated images of Gaussian beam speckle, aperture distribution for      108
Computer generated images of partially developed speckle      258
Computer generated images of two-beam interference pattern      106
Conditional probability, definition of      17—18
Constant amplitude signal in Gaussian noise      320
Contour integration      31 236 259 401
Contrast of a speckle pattern      259
Convex sum, definition of      36
Convolution integral      27
Convolution theorem      27
Correlation area      178
Correlation coefficient      see "Statistical parameters"
Cumulative binomial distribution      382
Cumulative distribution function, definition of      9
Dark current      140
Dark noise      267
Dead time, in Geiger mode detectors      292
Decision theory, a posteriori probabilities      50
Decision theory, a priori probabilities      50
Decision theory, alternative hypothesis      48
Decision theory, average cost      77
Decision theory, Bayes decision rule      54
Decision theory, Bayes risk      60
Decision theory, Bayes rule      18
Decision theory, binary or signal detection      47
Decision theory, composite hypotheses      48
Decision theory, detection probability, definition of      49
Decision theory, error costs      54
Decision theory, error of the first kind      49
Decision theory, error of the first kind as type I error      54
Decision theory, error of the second kind      49
Decision theory, error of the second kind as type II error      54
Decision theory, false alarm probability, definition of      49
Decision theory, false alarm, definition of      49
Decision theory, hypothesis testing      48
Decision theory, ideal observer test      52 79
Decision theory, information parameters      47
Decision theory, least favorable statistics      60
Decision theory, likelihood functions      51
Decision theory, likelihood ratio      51
Decision theory, minimax criterion      60
Decision theory, miss probability, definition of      49
Decision theory, missed detection      54
Decision theory, Neyman — Pearson decision rule      58
Decision theory, null hypothesis      48
Decision theory, parameter estimation      47
Decision theory, simple hypotheses      48
Decision theory, test statistic      50
Decision theory, threshold level      51—52
Degree of polarization      309
Density function, definition of      6—7
Detector optimization      134—136
Detector responsivity      65 146
Determinant      24
Differential absorption lidar (DIAL)      2
Diffraction, definition of      68
Diffraction, extended Huygens — Fresnel formula      303
Diffraction, far-field distribution of a circular aperture      7
Diffraction, Fraunhofer formula      71
Diffraction, Fresnel — Kirchhoff formula      69
Diffraction, Huygens — Fresnel integral formula      70 98
Diffraction, Huygens — Fresnel principle, example of      74
Diffraction, inclination factor      69
Diffraction, limit      75 93
Diffraction, near and far fields      72
Diffraction, secondary Huygens' wavelets      69
Diffraction, theory of      68
Dirac delta function      7
Direct detection      2 64 227
Direct detection, receiver      227—228
Direct detection, signal processor      227—228
Direct-detection signal-to-noise ratio with truncated beams      131
Direct-detection signal-to-noise ratio with untruncated beams      129
Direct-detection statistics for a Geiger-mode APD detector and multiple time-bins      295
Direct-detection statistics for a Geiger-mode APD detector and rough targets      294
Direct-detection statistics for a Geiger-mode APD detector and specular targets      293
Direct-detection statistics for a negative binomial signal in Poisson noise      254—256
Direct-detection statistics for a noncentral negative binomial signal in Poisson noise      265—266
Direct-detection statistics for a parabolic-cylinder signal in Gaussian noise      275—276
Direct-detection statistics for a Poisson signal in Poisson noise      244
Direct-detection statistics for an APD detector and a rough target      288—292
Direct-detection statistics for an APD detector and a specular target      278—288
Direct-detection statistics for an APD detector and a specular target in the high signal limit      281
Direct-detection statistics for an APD detector and a specular target with the WMC approximation      279
Direct-detection statistics for depolarized fields      309—313
Direct-detection statistics for multiple uncorrelated signals      313—315
Direct-detection statistics in atmospheric clutter      306
Direct-detection statistics in atmospheric turbulence      297
Discrete Fourier coefficients      40
Discrete Fourier Transform      285
Distribution function, definition of      9
Doppler frequency      63
Double-thresholding algorithm      see "Binary integration algorithm"
Doubly-stochastic Poisson process      245
Effective aperture      74
Effective ionization rate ratios      142
Energy spectral density      40
Ensemble autocorrelation function      42
Erbium doped fiber amplifier (EDFA)      266
Ergodic hypothesis      38 184 234—235
Excess noise      140 277
Exponential fading      232
Extinction coefficient      148
Extremely strong turbulence      219
Fano factor      290
First order statistics      see "Univariate statistics"
Fluctuating and nonfluctuating targets      319
Focused CW coherent system      124
Fourier integral transforms, definition of      28
Fourier optics      104
Fourier — Stieltjes transform      44—46 191
Free-space optical communications links, coherent detection in      64
Free-space optical communications links, coherent detection in turbulence      339—344
Free-space optical communications links, direct detection in turbulence      298—300
Frequencies of occurrence      6
Frequency bins      6
Fringe visibility      154
Gamma distribution and partially polarized light      310—311
Gamma distribution and uncorrelated speckle fields      315
Gamma distribution as a chi-squared distribution      236
Gamma distribution as limit of noncentral chi-squared distribution      261
Gamma distribution for the integrated intensity      236
Gamma distribution in generalized notation      236
Gamma distribution, cumulative distribution function of      238—239
Gamma distribution, probability density function for      31 236 268
Gamma function, definition of      393
Gaussian beam, focal range of      82
Gaussian beam, focal volume of      83
Gaussian beam, radius of      76—77
Gaussian beam, radius of curvature of      76—77
Gaussian beam, range resolution of      83
Gaussian beam, Rayleigh range of      77
Gaussian beam, theory of      75—78
Gaussian beam, waist      76
Gaussian distribution and the central limit theorem      30—33
Gaussian distribution and the parabolic-cylinder distribution      267
Gaussian distribution as limiting form of the Poisson distribution      243
Gaussian distribution as limiting form of the Rician distribution      324
Gaussian distribution as limiting form of the WMC distribution      281—282
Gaussian distribution, definition of      7
Gaussian distribution, two-dimensional form      24 230 321
Geiger-mode APD detector      62 291
Geiger-mode APD detector, dead time of      292
Geiger-mode APD detector, measurement intervals or time bins      294
Geiger-mode APD detector, multiple-pulse detection statistics for      385—388
Geiger-mode APD detector, passive and active quenching circuits for      292
Geiger-mode APD detector, photoelectron detection probability      291
Geiger-mode APD detector, photon detection efficiency of      291
Geiger-mode APD detector, probability of avalanche production in      294
Geiger-mode APD detector, probability of avalanche production in, mutual exclusivity of      294
Geiger-mode APD detector, probability of avalanche production in, statistical independence of      294
Geiger-mode APD detector, processing windows for      294 386
Geiger-mode APD detector, single-pulse detection statistics for      296—297
Golf example      6 11 20
Green's function in surface scattering theory      162
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