Preface |
|
xii | |
1 Mathematical Preliminaries |
|
1 | (50) |
|
|
1 | (1) |
|
|
1 | (8) |
|
1.2.1 Matrices and Vectors |
|
|
2 | (1) |
|
|
2 | (1) |
|
1.2.3 Traces, Determinants, and Inverses |
|
|
3 | (4) |
|
1.2.4 Inner Products, Norms, and Orthogonality |
|
|
7 | (1) |
|
1.2.5 Eigenvalues, Eigenvectors, and Rank |
|
|
8 | (1) |
|
1.2.6 Quadratic Forms and Positive Definite Matrices |
|
|
8 | (1) |
|
1.2.7 Gradients, Jacobians, and Hessians |
|
|
8 | (1) |
|
|
9 | (6) |
|
1.3.1 Real Fourier Series |
|
|
9 | (1) |
|
1.3.2 Complex Fourier Series |
|
|
10 | (1) |
|
1.3.3 Effects of Finite Fourier Series Use |
|
|
11 | (3) |
|
1.3.4 Some Useful Properties of Fourier Series |
|
|
14 | (1) |
|
|
15 | (5) |
|
1.4.1 Some General Properties |
|
|
15 | (5) |
|
|
20 | (1) |
|
|
21 | (19) |
|
1.6.1 Axioms of Probability |
|
|
21 | (2) |
|
1.6.2 Conditional Probabilities |
|
|
23 | (2) |
|
1.6.3 Probability and Cumulative Density Functions |
|
|
25 | (2) |
|
1.6.4 Probability Mass Function |
|
|
27 | (1) |
|
1.6.5 Expectation and Moments of a Scalar Random Variable |
|
|
28 | (1) |
|
1.6.6 Joint PDF and CDF of Two Random Variables |
|
|
29 | (1) |
|
1.6.7 Independent Random Variables |
|
|
29 | (1) |
|
1.6.8 Vector-Valued Random Variables |
|
|
30 | (1) |
|
1.6.9 Gaussian Random Variables |
|
|
31 | (2) |
|
1.6.10 Quadratic and Quartic Forms |
|
|
33 | (1) |
|
1.6.11 Chi-Squared Distributed Random Variable |
|
|
34 | (1) |
|
1.6.12 Binomial Distribution |
|
|
35 | (2) |
|
1.6.13 Poisson Distribution |
|
|
37 | (1) |
|
|
38 | (2) |
|
|
40 | (2) |
|
|
42 | (6) |
|
|
48 | (3) |
2 Fourier Optics Basics |
|
51 | (44) |
|
|
51 | (1) |
|
2.2 The Maxwell Equations |
|
|
52 | (3) |
|
2.3 The Rayleigh-Sommerfeld-Debye Theory of Diffraction |
|
|
55 | (4) |
|
2.4 The Huygens-Fresnel-Kirchhoff Theory of Diffraction |
|
|
59 | (9) |
|
2.5 Fraunhofer Diffraction |
|
|
68 | (8) |
|
2.6 Bringing Fraunhofer Diffraction into the Near Field |
|
|
76 | (6) |
|
|
82 | (2) |
|
2.8 The Rayleigh Resolution Criterion |
|
|
84 | (1) |
|
|
85 | (4) |
|
|
89 | (4) |
|
|
93 | (2) |
3 Geometrical Optics |
|
95 | (28) |
|
|
95 | (1) |
|
3.2 The Foundations of Geometrical Optics-Eikonal Equation and Fermat Principle |
|
|
96 | (2) |
|
3.3 Refraction and Reflection of Light Rays |
|
|
98 | (3) |
|
3.4 Geometrical Optics Nomenclature |
|
|
101 | (2) |
|
3.5 Imaging System Design Basics |
|
|
103 | (6) |
|
|
109 | (2) |
|
3.7 Another View of Lens Theory |
|
|
111 | (2) |
|
3.8 Apertures and Field Stops |
|
|
113 | (6) |
|
|
113 | (1) |
|
3.8.2 Entrance and Exit Pupils |
|
|
114 | (1) |
|
3.8.3 Field Stop and Chief and Marginal Rays |
|
|
115 | (2) |
|
3.8.4 Entrance and Exit Windows |
|
|
117 | (2) |
|
|
119 | (1) |
|
|
119 | (2) |
|
|
121 | (2) |
4 Radiometry |
|
123 | (30) |
|
|
123 | (1) |
|
4.2 Basic Geometrical Definitions |
|
|
124 | (3) |
|
4.3 Radiometric Parameters |
|
|
127 | (10) |
|
4.3.1 Radiant Flux (Radiant Power) |
|
|
129 | (1) |
|
|
130 | (1) |
|
|
130 | (2) |
|
|
132 | (3) |
|
4.3.5 Radiant Flux Density (Irradiance and Radiant Exitance) |
|
|
135 | (1) |
|
4.3.6 Bidirectional Reflectance Distribution Function |
|
|
135 | (1) |
|
4.3.7 Directional Hemispheric Reflectance |
|
|
136 | (1) |
|
|
136 | (1) |
|
4.4 Lambertian Surfaces and Albedo |
|
|
137 | (1) |
|
4.5 Spectral Radiant Emittance and Power |
|
|
138 | (1) |
|
4.6 Irradiance from a Lambertian Source |
|
|
139 | (4) |
|
4.7 The Radiometry of Images |
|
|
143 | (2) |
|
4.8 Blackbody Radiation Sources |
|
|
145 | (6) |
|
|
151 | (1) |
|
|
151 | (2) |
5 Characterizing Optical Imaging Performance |
|
153 | (48) |
|
|
153 | (1) |
|
5.2 Linearity and Space Variance of the Optical System or Optical Channel |
|
|
154 | (2) |
|
5.3 Spatial Filter Theory of Image Formation |
|
|
156 | (4) |
|
5.4 Linear Filter Theory of Incoherent Image Formation |
|
|
160 | (2) |
|
5.5 The Modulation Transfer Function |
|
|
162 | (5) |
|
|
167 | (7) |
|
5.7 Obscured Aperture OTF |
|
|
174 | (10) |
|
|
179 | (5) |
|
5.8 High-Order Aberration Effects Characterization |
|
|
184 | (7) |
|
|
191 | (2) |
|
5.10 Multiple Systems Transfer Function |
|
|
193 | (2) |
|
5.11 Linear Systems Summary |
|
|
195 | (3) |
|
|
198 | (3) |
6 Partial Coherence Theory |
|
201 | (38) |
|
|
201 | (1) |
|
6.2 Radiation Fluctuation |
|
|
202 | (3) |
|
6.3 Interference and Temporal Coherence |
|
|
205 | (9) |
|
6.4 Interference and Spatial Coherence |
|
|
214 | (5) |
|
6.5 Coherent Light Propagating Through a Simple Lens System |
|
|
219 | (12) |
|
6.6 Partially Coherent Imaging Through any Optical System |
|
|
231 | (2) |
|
6.7 Van Cittert-Zernike Theorem |
|
|
233 | (2) |
|
|
235 | (2) |
|
|
237 | (2) |
7 Optical Channel Effects |
|
239 | (60) |
|
|
239 | (1) |
|
7.2 Essential Concepts in Radiative Transfer |
|
|
239 | (6) |
|
7.3 The Radiative Transfer Equation |
|
|
245 | (6) |
|
7.4 Mutual Coherence Function for an Aerosol Atmosphere |
|
|
251 | (4) |
|
7.5 Mutual Coherence Function for a Molecular Atmosphere |
|
|
255 | (1) |
|
7.6 Mutual Coherence Function for an Inhomogeneous Turbulent Atmosphere |
|
|
256 | (6) |
|
7.7 Laser Beam Propagation in the Total Atmosphere |
|
|
262 | (10) |
|
7.8 Key Parameters for Analyzing Light Propagation Through Gradient Turbulence |
|
|
272 | (6) |
|
7.9 Two Refractive Index Structure Parameter Models for the Earth's Atmosphere |
|
|
278 | (4) |
|
7.10 Engineering Equations for Light Propagation in the Ocean and Clouds |
|
|
282 | (12) |
|
|
294 | (1) |
|
|
295 | (4) |
8 Optical Receivers |
|
299 | (56) |
|
|
299 | (1) |
|
|
300 | (25) |
|
8.2.1 Performance Criteria |
|
|
300 | (2) |
|
|
302 | (1) |
|
8.2.3 Photoemissive Detectors |
|
|
302 | (3) |
|
8.2.4 Semiconductor Photodetectors |
|
|
305 | (20) |
|
8.2.4.1 Photodiode Device Overview |
|
|
306 | (2) |
|
8.2.4.2 Photodiode Physics |
|
|
308 | (10) |
|
|
318 | (1) |
|
8.2.4.4 Junction Photodiodes |
|
|
319 | (4) |
|
8.2.4.5 Photodiode Response Time |
|
|
323 | (2) |
|
8.2.5 Photodiode Array and Charge-Coupled Devices |
|
|
325 | (1) |
|
8.3 Noise Mechanisms in Optical Receivers |
|
|
325 | (10) |
|
|
326 | (4) |
|
8.3.1.1 Quantum Shot Noise |
|
|
327 | (3) |
|
8.3.1.2 Dark Current Shot Noise |
|
|
330 | (1) |
|
8.3.2 Erbium-Doped Fiber Amplifier (EDFA) Noise |
|
|
330 | (1) |
|
8.3.3 Relative Intensity Noise |
|
|
331 | (2) |
|
8.3.4 More Conventional Noise Sources |
|
|
333 | (2) |
|
|
334 | (1) |
|
|
334 | (1) |
|
|
334 | (1) |
|
|
335 | (1) |
|
|
335 | (15) |
|
8.4.1 Signal-to-Noise Ratio |
|
|
336 | (2) |
|
8.4.2 The Optical Signal-to-Noise Ratio |
|
|
338 | (7) |
|
8.4.3 The Many Faces of the Signal-to-Noise Ratio |
|
|
345 | (1) |
|
8.4.4 Noise Equivalent Power and Minimum Detectable Power |
|
|
346 | (1) |
|
8.4.5 Receiver Sensitivity |
|
|
347 | (3) |
|
|
350 | (3) |
|
|
353 | (2) |
9 Signal Detection and Estimation Theory |
|
355 | (88) |
|
|
355 | (1) |
|
9.2 Classical Statistical Detection Theory |
|
|
356 | (9) |
|
9.2.1 The Bayes Criterion |
|
|
358 | (2) |
|
9.2.2 The Minimax Criterion |
|
|
360 | (1) |
|
9.2.3 The Neyman-Pearson Criterion |
|
|
361 | (4) |
|
9.3 Testing of Simple Hypotheses Using Multiple Measurements |
|
|
365 | (9) |
|
9.4 Constant False Alarm Rate (CFAR) Detection |
|
|
374 | (1) |
|
9.5 Optical Communications |
|
|
375 | (14) |
|
9.5.1 Receiver Sensitivity for System Noise-Limited Communications |
|
|
375 | (6) |
|
9.5.2 Receiver Sensitivity for Quantum-Limited Communications |
|
|
381 | (8) |
|
9.6 Laser Radar (LADAR) and LIDAR |
|
|
389 | (19) |
|
|
389 | (3) |
|
9.6.2 Coherent Laser Radar |
|
|
392 | (6) |
|
9.6.2.1 Coherent Laser Radar Probability of False Alarm |
|
|
395 | (2) |
|
9.6.2.2 Coherent Laser Radar Probability of Detection |
|
|
397 | (1) |
|
9.6.3 Continuous Direct Detection Intensity Statistics |
|
|
398 | (3) |
|
9.6.3.1 Continuous Direct Detection Probability of False Alarm |
|
|
399 | (1) |
|
9.6.3.2 Continuous Direct Detection Probability of Detection for a Diffuse Target |
|
|
399 | (2) |
|
9.6.3.3 Continuous Direct Detection Probability of Detection for a Glint Target |
|
|
401 | (1) |
|
9.6.4 Photon-Counting Direct Detection Intensity Statistics |
|
|
401 | (3) |
|
9.6.4.1 Photon-Counting Direct Detection Probability of False Alarm |
|
|
402 | (1) |
|
9.6.4.2 Photon-Counting Direct Detection Probability of Detection-Diffuse Target |
|
|
403 | (1) |
|
9.6.4.3 Photon-Counting Direct Detection Probability of Detection-Glint Target |
|
|
404 | (1) |
|
|
404 | (4) |
|
9.7 Resolved Target Detection in Correlated Background Clutter and Common System Noise |
|
|
408 | (7) |
|
9.8 Zero Contrast Target Detection in Background Clutter |
|
|
415 | (1) |
|
9.9 Multispectral Signal-Plus-Noise/Noise-Only Target Detection in Clutter |
|
|
416 | (11) |
|
9.10 Resolved Target Detection in Correlated Dual-Band Multispectral Image Sets |
|
|
427 | (7) |
|
|
434 | (3) |
|
|
434 | (1) |
|
9.11.2 Gram-Schmidt Orthogonalization Theory |
|
|
435 | (1) |
|
9.11.3 Prewhitening Filter Using the Gram-Schmidt Process |
|
|
436 | (1) |
|
|
437 | (3) |
|
|
440 | (3) |
10 Laser Sources |
|
443 | (42) |
|
|
443 | (1) |
|
10.2 Spontaneous and Stimulated Emission Processes |
|
|
444 | (10) |
|
10.2.1 The Two-Level System |
|
|
444 | (7) |
|
10.2.2 The Three-Level System |
|
|
451 | (2) |
|
10.2.3 The Four-Level System |
|
|
453 | (1) |
|
|
454 | (2) |
|
10.3.1 Laser Pumping without Amplifier Radiation |
|
|
454 | (1) |
|
10.3.2 Laser Pumping with Amplifier Radiation |
|
|
455 | (1) |
|
10.4 Laser Gain and Phase-Shift Coefficients |
|
|
456 | (7) |
|
10.5 Laser Cavity Gains and Losses |
|
|
463 | (3) |
|
|
466 | (8) |
|
10.6.1 Planar Mirror Resonators-Longitudinal Modes |
|
|
466 | (5) |
|
10.6.2 Planar Mirror Resonators-Transverse Modes |
|
|
471 | (3) |
|
10.7 The ABCD Matrix and Resonator Stability |
|
|
474 | (3) |
|
10.8 Stability of a Two-Mirror Resonator |
|
|
477 | (2) |
|
|
479 | (3) |
|
|
482 | (3) |
Appendix A: Stationary Phase And Saddle Point Methods |
|
485 | (4) |
|
|
485 | (1) |
|
A.2 The Method Of Stationary Phase |
|
|
485 | (2) |
|
|
487 | (2) |
Appendix B: Eye Diagram And Its Interpretation |
|
489 | (2) |
|
|
489 | (1) |
|
|
489 | (2) |
Appendix C: Vector-Space Image Representation |
|
491 | (4) |
|
|
491 | (1) |
|
|
491 | (2) |
|
|
493 | (2) |
Appendix D: Paraxial Ray Tracing-ABCD Matrix |
|
495 | (8) |
|
|
495 | (1) |
|
|
495 | (7) |
|
D.2.1 Propagation In A Homogeneous Medium |
|
|
497 | (1) |
|
D.2.2 Propagation Against A Curved Interface |
|
|
498 | (1) |
|
D.2.3 Propagation Into A Refractive Index Interface |
|
|
499 | (3) |
|
|
502 | (1) |
Index |
|
503 | |