Title

Spatial Coherence Of A Gaussian-Beam Wave In Weak And Strong Optical Turbulence

Abstract

A generalized Huygens-Fresnel integral, valid for optical wave propagation through random inhomogeneities in the presence of any complex optical system characterized by an ABCD ray matrix, is used to derive a general expression for the mutual coherence function (MCF) associated with a Gaussian-beam wave in the weak-fluctuation regime. The mean irradiance obtained from this expression shows excellent agreement with all known asymptotic relations. By introducing a pair of effective beam parameters qt and At that account for additional diffraction on the receiving aperture, resulting from turbulence, the normalized MCF and the related degree of coherence are formally extended into the regime of strong fluctuations. Results for the normalized MCF from this heuristic approach compare well with numerical calculations obtained directly from the formal solution of the parabolic equation. Also, the implied spatial coherence length from this analysis in moderate-to-strong-fluctuation regimes generally agrees more closely with numerical solutions of the parabolic equation than do previous approximate solutions. All calculations are based on the modified von Karman spectrum for direct comparison with established results. © 1994 Optical Society of America.

Publication Date

1-1-1994

Publication Title

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

Volume

11

Issue

5

Number of Pages

1653-1660

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.11.001653

Socpus ID

0028441925 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0028441925

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