Wave structure function of light wave propagating in turbulent atmosphere

ZHANG Yi-xin; TAO Chun-kan

In the approximation of the modulation process of two scale-eddies (inner-scale and outer-scale eddies) for light wave propagation in turbulent atmosphere,we study the wave structure function(WSF) used to calculate the mutual coherence function from which the transverse coherence length can readily be determined for an infinite plane wave or spherical wave.Analytical expressions are derived by means of the development of the modulation model of the power spectral density of the refractive-index fluctuations which include the factor of small-scale and large-scale sizes turbulence eddies for the wave structure function associated with the propagation of infinite plane waves and spherical waves through isotropic and homogeneous turbulence.For computational case,the approximation expressions for the structure function of infinite plane waves and spherical waves propagating through isotropic and homogeneous turbulence are also developed by simple interpolation method,whose error is less than 2%.

1. School of Science, Southern Yangtze University, Wuxi 214036, China;

2. School of Electro Optics, Nanjing University of Science and Technology, Nanjing 210014, China

Received Date: 2003-09-01

Accepted Date: 2003-12-12

Available Online: 2004-07-25

Abstract: In the approximation of the modulation process of two scale-eddies (inner-scale and outer-scale eddies) for light wave propagation in turbulent atmosphere,we study the wave structure function(WSF) used to calculate the mutual coherence function from which the transverse coherence length can readily be determined for an infinite plane wave or spherical wave.Analytical expressions are derived by means of the development of the modulation model of the power spectral density of the refractive-index fluctuations which include the factor of small-scale and large-scale sizes turbulence eddies for the wave structure function associated with the propagation of infinite plane waves and spherical waves through isotropic and homogeneous turbulence.For computational case,the approximation expressions for the structure function of infinite plane waves and spherical waves propagating through isotropic and homogeneous turbulence are also developed by simple interpolation method,whose error is less than 2%.

HTML

Reference (10)

[1]	SASIELA R J,SHELTON J D.Transverse spectral filtering and mellin transform techniques applied to the effect of outer scale on tilt and tilt anisoplanatism [J].J O S A,1993,A10(4):646～660.
[2]	CHESNOKOV S S,SKIPETROV S E.Optical resolution throughatmospheric turbulence with finite outer scale [J].Opt Commun,1997,141(1):113～117.
[3]	LAWRENCE R S,STROHBEHN J W.A survey of clear-air propagation effects relevant to optical communications [J].Proc IEEE,1970,58(10):1523～1545.
[4]	LUTOMIRSKI R F,YURA H T.Wave structure function and mutual coherence function of an optical wave in a turbulent atmosphere [J].J O S A,1971,61(4):482～492.
[5]	ANDREWS L C,PHILLIPS R L.Laser beam propagation through random media [M].Washington:SPIE Optical Engineering Press,1998.53～55.
[6]	ANDREWS L C,VESTER S.Analytic expressions for the wavestructure function based on a bump spectral model for refractive index fluctuations [J].J Modern Opt,1993,40(5):591～598.
[7]	ANDREWS L C,AL-HALASH M A,HOPEN C Y et al.Theory of optical scintillation:Gaussian-beam wave model [J].Wave Random Media,2001,11(2):271～291.
[8]	ANDREWS L C,PHILLIPS R L,HOPEN C Y.Aperture averaging of optical scintillations:power fluctuations and the temporal spectrum [J].Wave Random Media,2000,10(1):53～70.
[9]	塔塔斯基 V I.湍流大气中波的传播理论 [M].北京:科学出版社,1978.109～144.
[10]	VOISEKHOVICH V V.Outer scale of turbulence:comparison of different models [J].J O S A,1995,A12(6):1346～1353.

Wave structure function of light wave propagating in turbulent atmosphere

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views