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Principles importance coherence. of Optics, first published of coherence in optics. in 1959 by Max Born Emil Wolf is responsible and Emil Wolf, brought attention to the for many advances in the theory of optical 342 Statistical optics is the study | Fundamentals of Photonics Bahaa E. A. Saleh Malvin Carl Teich Copyright 1991 John Wiley Sons Inc. ISBNs 0-471-83965-5 Hardback 0-471-2-1374-8 Electronic CHAPTER 10 STATISTICAL OPTICS STATISTICAL PROPERTIES OF RANDOM LIGHT A. Optical Intensity B. Temporal Coherence and Spectrum C. Spatial Coherence D. Longitudinal Coherence INTERFERENCE OF PARTIALLY COHERENT LIGHT A. Interference of Two Partially Coherent Waves B. Interference and Temporal Coherence C. Interference and Spatial Coherence TRANSMISSION OF PARTIALLY COHERENT LIGHT THROUGH OPTICAL SYSTEMS A. Propagation of Partially Coherent Light B. Image Formation with Incoherent Light C. Gain of Spatial Coherence by Propagation PARTIAL POLARIZATION Max Born 1882-1970 Emil Wolf born 1922 Principles of Optics first published in 1959 by Max Born and Emil Wolf brought attention to the importance of coherence in optics. Emil Wolf is responsible for many advances in the theory of optical coherence. 342 Statistical optics is the study of the properties of random light. Randomness in light arises because of unpredictable fluctuations of the light source or of the medium through which light propagates. Natural light . light radiated by a hot object is random because it is a superposition of emissions from a very large number of atoms radiating independently and at different frequencies and phases. Randomness in light may also be a result of scattering from rough surfaces diffused glass or turbulent fluids which impart random variations to the optical wavefront. The study of the random fluctuations of light is also known as the theory of optical coherence. In the preceding chapters it was assumed that light is deterministic or coherent. An example of coherent light is the monochromatic wave w r t Re i r exp j277i i J for which the complex amplitude U r is a deterministic complex function . U r Aexp -jkr r in the case of a spherical wave Fig. a . The dependence of the wavefunction on time and .