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Theoretical Statistical Optics [Kõva köide]

(Univ Of Miami, Usa)
  • Formaat: Hardback, 336 pages
  • Ilmumisaeg: 31-Aug-2021
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811234973
  • ISBN-13: 9789811234972
Teised raamatud teemal:
Theoretical Statistical OpticsSuurem pilt
  • Formaat: Hardback, 336 pages
  • Ilmumisaeg: 31-Aug-2021
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811234973
  • ISBN-13: 9789811234972
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9789811234972.html
Märksõnad:
This monograph overviews classic and recent developments in theoretical statistical optics in connection with stationary and non-stationary (pulsed) optical source characterization and modeling, discusses various phenomena occurring with random light propagating in free space, on its interaction with optical systems, extended media and particulate collections. The text includes scalar, beam-like and general electromagnetic treatment of light. A brief statistical description of four fundamental experiments relating to random light: spatial and temporal field interference, intensity interferometry and phase conjugation, is also included in order to relate the analytical descriptions with practical observations.Rigorous mathematical methods for statistical manipulation of light sources useful for remote shaping of its various average properties, enhanced image resolution, optimized transmission in random media and for other applications are introduced. For illustration of efficient ways for manipulation of light polarization the generalized Stokes-Mueller calculus is applied for description of interaction of beam-like fields with classic and currently popular devices of polarization optics, including a spatial light modulator.Random light plays a special role in the image formation process. Three imaging modalities including the classic intensity-based system with structured source correlations, the polarization-based imaging system and the ghost interference approach are discussed in detail.Theoretical aspects of potential scattering of light from weakly scattering media are considered under a very broad range of assumptions: scalar/electromagnetic incident light, deterministic/random light/media, single/particulate media. Then, problems and methods in light characterization on interaction with extended, turbulent-like natural media, such as the Earth's atmosphere, oceans and soft bio-tissues that are currently widely used for communication, remote sensing and imaging purposes in these media, are provided.
Preface vii
1 Introduction
1(44)
1.1 Random Nature of Light
1(7)
1.2 History of Statistical Optics
8(8)
1.2.1 Environmental scattering
8(2)
1.2.2 Light as a random electromagnetic wave
10(4)
1.2.3 Foundation of random process theory
14(2)
1.3 Mathematical Preliminaries
16(12)
1.3.1 Fourier transform
16(9)
1.3.2 Analytic signal
25(3)
1.4 Statistical Preliminaries
28(17)
1.4.1 Linear processes
28(1)
1.4.2 Random variables and processes
29(4)
1.4.3 Types of random processes
33(5)
1.4.4 Spectral content of a wide-sense stationary process
38(3)
1.4.5 Gaussian random process
41(4)
2 Statistical Characterization of Optical Fields
45(42)
2.1 Deterministic Optical Fields
45(13)
2.1.1 The Maxwell equations
45(2)
2.1.2 Energy
47(4)
2.1.3 Linear and angular momentum
51(4)
2.1.4 Polarization
55(3)
2.2 Scalar Stationary Optical Fields
58(5)
2.2.1 Cross-spectral density
58(4)
2.2.2 One- and two-point properties
62(1)
2.3 Electromagnetic Beam-like Fields
63(11)
2.3.1 Cross-spectral density matrix
63(1)
2.3.2 One-point properties
64(5)
2.3.3 Two-point properties
69(5)
2.4 Electromagnetic General Fields
74(6)
2.5 Model Sources
80(7)
2.5.1 Schell and quasi-homogeneous models
80(4)
2.5.2 Homogeneous model for spherical shell sources
84(3)
3 Famous Experiments and Phenomena Relating to Random Light
87(10)
3.1 Young's Interference Experiment
87(3)
3.2 Michelson Interference Experiment
90(2)
3.3 Hanbury Brown and Twiss Interference Experiment
92(1)
3.4 BackScatter Amplification Effect
93(4)
4 Free-space Propagation of Stationary Light
97(16)
4.1 Deterministic Light
97(4)
4.1.1 Scalar theory
97(2)
4.1.2 Electromagnetic theory
99(2)
4.2 Stationary Light
101(5)
4.2.1 3×3 cross-spectral density tensor propagation
101(3)
4.2.2 The van Cittert--Zernike theorem
104(2)
4.3 Source Correlation-induced Changes
106(7)
4.3.1 The Huygens--Fresnel integral
106(1)
4.3.2 Examples
107(6)
5 Structured Light Coherence
113(40)
5.1 One-dimensional Sources
113(15)
5.1.1 Bochner's theorem method
113(4)
5.1.2 Examples
117(1)
5.1.3 Sliding function method
118(3)
5.1.4 Examples
121(7)
5.2 Two-dimensional, Scalar Sources and Beams
128(21)
5.2.1 Bochner's theorem method
128(2)
5.2.2 Examples: Uniform correlations, radial symmetry
130(3)
5.2.3 Examples: Uniform correlations, Cartesian symmetry
133(3)
5.2.4 Examples: Uniform correlations, no symmetry
136(5)
5.2.5 Examples: Twisted correlations
141(3)
5.2.6 Examples: Separable phases
144(1)
5.2.7 Sliding function method
145(2)
5.2.8 Example
147(2)
5.3 Other Methods, Models, Statistics
149(4)
6 Light Interaction with Devices of Polarization Optics
153(16)
6.1 Jones Calculus
153(4)
6.2 Stokes--Mueller Calculus
157(7)
6.2.1 Mueller matrix
157(1)
6.2.2 Stokes parameters' determination
158(1)
6.2.3 Mueller matrix determination
159(5)
6.3 Two-point Stokes--Mueller Calculus
164(5)
6.3.1 Two-point Mueller matrix
164(1)
6.3.2 Analytic example: Spatial light modulator
165(4)
7 Image Formation with Random Light
169(40)
7.1 Classic Imaging Systems
169(18)
7.1.1 Linear system approach
169(3)
7.1.2 Isoplanatic systems, homogeneous illumination
172(7)
7.1.3 Coherent and incoherent imaging systems
179(3)
7.1.4 ABCD matrices
182(3)
7.1.5 Generalized Huygens--Fresnel integral
185(2)
7.2 Polarization Imaging
187(9)
7.2.1 Linear system approach
187(6)
7.2.2 Isoplanatic polarimetric systems
193(3)
7.3 Two-point Resolution
196(8)
7.3.1 Imaging by structured illumination
196(2)
7.3.2 Rayleigh resolution criterion
198(6)
7.4 Ghost Imaging
204(5)
8 Light Scattering from Three-Dimensional Media
209(44)
8.1 The Scattering Phenomenon
209(2)
8.2 Potential Scattering for Scalar Fields
211(12)
8.2.1 The first Born approximation
211(3)
8.2.2 Far-zone approximation
214(1)
8.2.3 Scattering matrix
215(3)
8.2.4 Random incident field and/or scatterer
218(3)
8.2.5 Deterministic mode representation of scatterers
221(1)
8.2.6 Pair-scattering matrix
222(1)
8.3 Potential Scattering for Electromagnetic Fields
223(7)
8.3.1 Deterministic incident field and scatterer
223(2)
8.3.2 Far-zone approximation
225(2)
8.3.3 Random incident field and scatterer
227(3)
8.4 Examples of Scattering from Deterministic Media
230(9)
8.4.1 Spherically symmetric media
230(3)
8.4.2 Hard-edged ellipsoids, cylinders, parallelepipeds
233(4)
8.4.3 Deterministic collections of scatterers
237(1)
8.4.4 Effect of random incident field
238(1)
8.5 Examples of Scattering from Random Media
239(14)
8.5.1 Gaussian-correlated particle
239(3)
8.5.2 Scatterers with structured correlations
242(4)
8.5.3 Random collections of scatterers
246(7)
9 Light Interaction with Turbulence
253(34)
9.1 Phenomenon of Optical Turbulence
254(5)
9.1.1 Classic and non-classic turbulence
254(1)
9.1.2 Major turbulence parameters
255(2)
9.1.3 Obukhov--Corrsin power spectra
257(2)
9.2 Atmospheric Turbulence
259(5)
9.2.1 Classic model
259(1)
9.2.2 Non-classic extensions
260(4)
9.3 Oceanic Turbulence
264(8)
9.3.1 Classic model
264(2)
9.3.2 Natural Earth's water turbulence
266(6)
9.4 Bio-tissue Turbulence
272(2)
9.5 Methods for Light--turbulence Interaction
274(8)
9.5.1 Extended Huygens--Fresnel method
274(3)
9.5.2 Convolution method
277(4)
9.5.3 Other methods
281(1)
9.6 Behavior of Light Beams in Turbulence
282(5)
9.6.1 General phenomena
282(2)
9.6.2 Probability density functions of intensity
284(3)
10 Non-stationary Pulse Ensembles
287(12)
10.1 Theory of Quasi-stationary Pulses
287(2)
10.2 Mathematical Models
289(4)
10.2.1 Laser-based examples
289(1)
10.2.2 Gaussian Schell-model pulses
290(3)
10.3 Propagation of Pulse Ensembles in Dispersive Media
293(2)
10.4 Structured Pulse Coherence
295(4)
10.4.1 Bochner's theorem method
295(3)
10.4.2 Sliding function method
298(1)
Appendix A Natural Water Parameters Varying with (T) and (S) 299(6)
Bibliography 305