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Physics Articles and Papers

Huygens-Fresnel integral

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M2-Factor Of Coherent And Partially Coherent Dark Hollow Beams Propagating In Turbulent Atmosphere, Yangsheng Yuan, Yangjian Cai, Jun Qu, Halil T. Eyyuboglu, Yahya Baykal, Olga Korotkova Sep 2009

M2-Factor Of Coherent And Partially Coherent Dark Hollow Beams Propagating In Turbulent Atmosphere, Yangsheng Yuan, Yangjian Cai, Jun Qu, Halil T. Eyyuboglu, Yahya Baykal, Olga Korotkova

Physics Articles and Papers

Analytical formula is derived for the M2-factor of coherent and partially coherent dark hollow beams (DHB) in turbulent atmosphere based on the extended Huygens-Fresnel integral and the second-order moments of the Wigner distribution function. Our numerical results show that the M2- factor of a DHB in turbulent atmosphere increases on propagation, which is much different from its invariant properties in free-space, and is mainly determined by the parameters of the beam and the atmosphere. The relative M2-factor of a DHB increases slower than that of Gaussian and flat-topped beams on propagation, which means a …


Active Laser Radar Systems With Stochastic Electromagnetic Beams In Turbulent Atmosphere, Yangjian Cai, Olga Korotkova, Halil T. Eyyuboğlu, Yahya Baykal Sep 2008

Active Laser Radar Systems With Stochastic Electromagnetic Beams In Turbulent Atmosphere, Yangjian Cai, Olga Korotkova, Halil T. Eyyuboğlu, Yahya Baykal

Physics Articles and Papers

Propagation of stochastic electromagnetic beams through paraxial ABCD optical systems operating through turbulent atmosphere is investigated with the help of the ABCD matrices and the generalized Huygens-Fresnel integral. In particular, the analytic formula is derived for the cross-spectral density matrix of an electromagnetic Gaussian Schell-model (EGSM) beam. We applied our analysis for the ABCD system with a single lens located on the propagation path, representing, in a particular case, the unfolded double-pass propagation scenario of active laser radar. Through a number of numerical examples we investigated the effect of local turbulence strength and lens' parameters on spectral, coherence and polarization …