Effective Beam Parameters And The Turbulent Beam Waist For Convergent Gaussian Beams

    Authors

    J. C. Ricklin; W. B. Miller;L. C. Andrews

    Comments

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    Abbreviated Journal Title

    Appl. Optics

    Keywords

    Optics

    Abstract

    Expressions are developed for the location and the size of the beam waist for a convergent Gaussian beam in statistically homogeneous and isotropic atmospheric turbulence. Subsidiary expressions are presented that lead to the maximum distance from the transmitter at which the beam waist can be located under given optical turbulence conditions and the optimal initial radius of curvature required for placing the beam waist at a desired location. The free-space beam radius W of a Gaussian beam satisfies the relationship partial derivative W/partial derivative z = -W/R, where z represents the path length and R is the phase-front radius of curvature at z. By enforcing this relation on the effective beam spot size in turbulence W-e, we can define an effective radius of curvature R(e). In addition to specifying the beam waist, R(e) leads to a pair of effective beam parameters theta(e) and Lambda(e) that provide a natural extension to the complex amplitude plane. Within this context, general propagation characteristics may be described, including the coherence properties of a Gaussian beam in both weak and strong optical turbulence.

    Journal Title

    Applied Optics

    Volume

    34

    Issue/Number

    30

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    7059

    Last Page

    7065

    WOS Identifier

    WOS:A1995RZ26800032

    ISSN

    0003-6935

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