Partially coherent Gaussian-Schell model pulse beam propagation in slant atmospheric turbulence
Li Ya-Qing (李亚清)a, Wu Zhen-Sen (吴振森)a, Wang Ming-Jun (王明军)b
a School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China; b School of Physics and Electronic Engineering, Xianyang Normal College, Xianyang 712000, China
Abstract Based on the extended Huygens-Fresnel principle, a two-frequency, two-point cross-spectral density function of partially coherent Gaussian-Schell model pulse (GSMP) beam propagation in slant atmospheric turbulence is derived. Using the Markov approximation method and on the assumption that (ω1 - ω2)/(ω1 + ω2) ≤ 1, the theory obtained is valid for turbulence of any strength and can be applied to narrow-band signals. The expressions for average beam intensity, the beam size, and the two-frequency complex degree of coherence of a GSMP beam are obtained. The numerical results are presented, and the effects of the frequency, initial pulse width, initial beam radius, zenith angle, and outer scales on the complex degree of coherence are discussed. This study provides a better understanding of the second-order statistics of a GSMP beam propagating through atmospheric turbulence in the space-frequency domain.
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