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

    Authors

    L. C. Andrews;W. B. Miller

    Comments

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    Abbreviated Journal Title

    J. Opt. Soc. Am. A-Opt. Image Sci. Vis.

    Keywords

    ELECTROMAGNETIC BEAM PROPAGATION; WAVE-PROPAGATION; TURBULENT MEDIA; GAUSSIAN BEAMS; SCINTILLATIONS; ATMOSPHERE; Optics

    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.

    Journal Title

    Journal of the Optical Society of America a-Optics Image Science and Vision

    Volume

    12

    Issue/Number

    1

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    137

    Last Page

    150

    WOS Identifier

    WOS:A1995QA67400015

    ISSN

    0740-3232

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