Title

Single-Pass And Double-Pass Propagation Through Complex Paraxial Optical Systems

Abstract

A generalized form of spectral representation theory is developed and used with the ABCD formulation of the Huygens-Fresnel integral for studying optical wave propagation through a random medium in the presence of any complex paraxial optical system that can be characterized by an ABCD ray matrix. Formal expressions are developed for the basic optical field moments and various related second-order statistical quantities in terms of three fundamental moments of the first- and second-order complex phase perturbations. Special propagation environments include line-of-sight propagation, single-pass propagation through arbitrary ABCD optical systems, and double-pass propagation through the same random medium in the presence of an ABCD optical system. For illustrative purposes the method is used in the development of expressions for the mean and the normalized variance of the irradiance associated with the Fourier-transform-plane geometry of a lens and the enhanced backscatter effect (EBS) associated with irradiance and phase fluctuations of a reflected Gaussian-beam wave from a Gaussian mirror. The EBS analysis accounts for both finite size and finite focal length of the mirror. © 1995 Optical Society of America.

Publication Date

1-1-1995

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

12

Issue

1

Number of Pages

137-150

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.12.000137

Socpus ID

0029219838 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0029219838

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