Theoretical Statistical Optics

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 mathematicalmethods for statistical manipulation of light sources use...

7.1.5 Generalized Huygens-Fresnel integral.

Intro -- Contents -- Preface -- 1. Introduction -- 1.1 Random Nature of Light -- 1.2 History of Statistical Optics -- 1.2.1 Environmental scattering -- 1.2.2 Light as a random electromagnetic wave -- 1.2.3 Foundation of random process theory -- 1.3 Mathematical Preliminaries -- 1.3.1 Fourier transform -- 1.3.2 Analytic signal -- 1.4 Statistical Preliminaries -- 1.4.1 Linear processes -- 1.4.2 Random variables and processes -- 1.4.3 Types of random processes -- 1.4.4 Spectral content of a wide-sense stationary process -- 1.4.5Gaussian random process

2. Statistical Characterization of Optical Fields -- 2.1 Deterministic Optical Fields -- 2.1.1 The Maxwell equations -- 2.1.2 Energy -- 2.1.3 Linear and angular momentum -- 2.1.4 Polarization -- 2.2 Scalar Stationary Optical Fields -- 2.2.1 Cross-spectral density -- 2.2.2 One- and two-point properties -- 2.3 Electromagnetic Beam-like Fields -- 2.3.1 Cross-spectral density matrix -- 2.3.2 One-point properties -- 2.3.3 Two-point properties -- 2.4 Electromagnetic General Fields -- 2.5 Model Sources -- 2.5.1 Schell and quasi-homogeneous models -- 2.5.2 Homogeneous model for sphericalshell sources

3. Famous Experiments and Phenomena Relati…