Title

Log-Amplitude Variance And Wave Structure Function: A New Perspective For Gaussian Beams

Abstract

Two naturally linked pairs of nondimensional parameters are identified such that either pair, together with wavelength and path length, completely specifies the diffractive propagation environment for a lowest-order paraxial Gaussian beam. Both parameter pairs are intuitive, and within the context of locally homogeneous and isotropic turbulence they reflect the long-recognized importance of the Fresnel zone size in the behavior of Rytov propagation statistics. These parameter pairs, called, respectively, the transmitter and receiver parame­ters, also provide a change in perspective in the analysis of optical turbulence effects on Gaussian beams by uni­fying a number of behavioral traits previously observed or predicted, and they create an environment in which the determination of limiting interrelationships between beam forms is especially simple. The fundamental nature of the parameter pairs becomes apparent in the derived analytical expressions for the log-amplitude variance and the wave structure function. These expressions verify general optical turbulence-related charac­teristics predicted for Gaussian beams, provide additional insights into beam-wave behavior, and are convenient tools for beam-wave analysis. © 1993 Optical Society of America.

Publication Date

1-1-1993

Publication Title

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

Volume

10

Issue

4

Number of Pages

661-672

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.10.000661

Socpus ID

0027575022 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027575022

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