Phase structure function and AOA fluctuations of plane and spherical waves propagating through oceanic turbulence. (August 2015)

• Record Type: Journal Article
• Authors: Lu, Lu; Wang, Zhiqiang; Zhang, Pengfei; Qiao, Chunhong; Fan, Chengyu; Zhang, Jinghui; Ji, Xiaoling
• Is Part Of: Journal of optics. Volume 17:Number 8(2015:Aug.)
• Page Start: 82
• Page End: 98
• Publication Date: 2015-08
• Subjects: Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8978/17/8/085610
• Languages: English
• ISSNs: 2040-8978

Abstract

<abstract> <title>Abstract</title> <p>Based on the characteristics of a hypergeometric function, the analytical expressions for the phase structure function and angle-of-arrival (AOA) fluctuations of plane and spherical waves propagating through oceanic turbulence are derived. The results are verified by comparing them with the numerical calculations of the definitions using four important parameters (i.e., the rate of dissipation of mean-squared temperature <inline-formula><tex-math><?CDATA ${\chi }_{T}, $?></tex-math><?MML <mml:math> <mml:msub> <mml:mrow> <mml:mi>χ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> </mml:msub> <mml:mo>, </mml:mo> </mml:math>?><inline-graphic xlink:href="ark:/27927/pgj2j512sgg" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> the rate of dissipation of kinetic energy per unit mass of fluid <inline-formula><tex-math><?CDATA $\varepsilon, $?></tex-math><?MML <mml:math> <mml:mi>ε</mml:mi> <mml:mo>, </mml:mo> </mml:math>?><inline-graphic xlink:href="ark:/27927/pgj2j512sh1" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> the ratio of temperature to salinity contribution to the refractive index spectrum <inline-formula><tex-math><?CDATA $w, $?></tex-math><?MML <mml:math> <mml:mi>w</mml:mi> <mml:mo>, </mml:mo> </mml:math>?><inline-graphic xlink:href="ark:/27927/pgj2j512t1t" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> and the Kolmogorov microscale <inline-formula><tex-math><?CDATA $\eta ).$?></tex-math><?MML <mml:math> <mml:mi>&eegr;</mml:mi> <mml:mo>).</mml:mo> </mml:math>?><inline-graphic xlink:href="ark:/27927/pgj2j512sz6" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> The relation between AOA fluctuations and the spatial coherence radius <inline-formula><tex-math><?CDATA ${\rho }_{0}$?></tex-math><?MML <mml:math> <mml:msub> <mml:mrow> <mml:mi>&rgr;</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> </mml:math>?><inline-graphic xlink:href="ark:/27927/pgj2j512t3x" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></inline-formula> is also investigated.</p> </abstract>