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 properties of the EGSM beam.
Cai, Yangjian; Korotkova, Olga; Eyyuboğlu, Halil T.; and Baykal, Yahya, "Active Laser Radar Systems with Stochastic Electromagnetic Beams in Turbulent Atmosphere" (2008). Physics Articles and Papers. 11.