Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere

Abstract

In a turbulent atmosphere, starting with a cos-Gaussian excitation at the source plane, the average intensity profile at the receiver plane is formulated. This average intensity profile is evaluated against the variations of link lengths, turbulence levels, two frequently used free-space optics wavelengths, and beam displacement parameters. We show that a cos-Gaussian beam, following a natural diffraction, is eventually transformed into a cosh-Gaussian beam. Combining our earlier results with the current findings, we conclude that cos-Gaussian and cosh-Gaussian beams act in a reciprocal manner after propagation in turbulence. The rates (paces) of conversion in the two directions are not the same. Although the conversion of cos-Gaussian beams to cosh-Gaussian beams can happen over a wide range of turbulence levels (low to moderate to high), the conversion of cosh-Gaussian beams to cos-Gaussian beams is pronounced under relatively stronger turbulence conditions. Source and propagation parameters that affect this reciprocity have been analyzed.

Evolution of Cos-Gaussian Beams in a Strongly Nonlocal Nonlinear Medium

“…Propagation of HSG laser beams in free space, in complex optical systems, in turbulence and in Kerr media have been studied extensively [14][15][16][17][18][19][20]. These studies indicate that the shape of HSG laser beams changes during propagation.…”

Relay Propagation of Partially Coherent Cosh-Gaussian Beams in Non-Kolmogorov Turbulence

“…As is well known, various intensity profiles which can be used in some important applications can be obtained by altering the parameters of a cosh-Gaussian (ChG) beam, which can be regarded as the superposition of decentered Gaussian beams [42][43][44][45] and can be obtained in practical application based on the method described in [42,46,47] and the references therein. The propagation properties of ChG beam, including both completely coherent and partially coherent beams, in turbulent atmosphere have been studied extensively [42][43][44][45]48].…”

“…The propagation properties of ChG beam, including both completely coherent and partially coherent beams, in turbulent atmosphere have been studied extensively [42][43][44][45]48]. However, the relay propagation of partially coherent ChG beams in non-Kolmogorov turbulence has not been examined until now.…”

Beam Propagation Factor of Partially Coherent Laguerre --- Gaussian Beams in Non-Kolmogorov Turbulence

“…Based on this model, average spreading of a Gaussian beam array, spreading and direction of Gaussian-Schell model beam and secondorder statistics of stochastic electromagnetic beams in non-Kolmogorov turbulence have been studied [3,7,8]. However, to our knowledge, the propagation of other types of beams in non-Kolmogorov turbulence have rarely been taken into account, even though the propagation properties of various types of laser beams in Kolmogorov turbulence have been widely studied [9][10][11][12].…”