Propagation of laser array beams in a turbulent atmosphere

Abstract

The propagation of phase-locked and non-phase-locked laser array beams of radial and rectangular symmetries in a turbulent atmosphere are investigated based on the extended Huygens-Fresnel integral. The beamlet used in our paper for constructing the laser array beams is of elliptical Gaussian mode. Analytical formulae for the average irradiance of phase-locked and non-phase-locked radial and rectangular laser array beams are derived through vector integration and tensor operation. The irradiance properties of these laser array beams in a turbulent atmosphere are studied numerically. It is found that both phase-locked and non-phase-locked radial and rectangular laser array beams eventually become circular Gaussian beams in a turbulent atmosphere, which is much different from their propagation properties in free space. The propagation properties are closely related to the parameters of laser array beams and the structure constant of the turbulent atmosphere

Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere

“…The last term in the integrand of Eq. (4) can be written as [11,12] hexpðw a ðx; y; p; qÞ þ w à a ðn; g; p; qÞÞi…”

“…So in practical engineering, the high power laser array can be better modeled by a partially coherent and partially phase-locked laser array. To date, the propagation properties of various kinds of phase-locked beam array have been studied in detail [11][12][13][14][15][16][17][18][19][20]. Nevertheless, to the best of our knowledge, the propagation of partially coherent partially phase-locked laser array in turbulent atmosphere has not yet been investigated.…”

Average spreading of rectangular elliptical Gaussian beam array propagating in non-Kolmogorov turbulence

“…For even M and N , the formulas are valid by changing the range of m, p into 1 − M/2 to M/2 and n, q into 1 − N/2 to N/2. For the coherent combination, the cross-spectral density function of the rectangular EGB array is expressed as [17] …”

Influence of oceanic turbulence on propagation characteristics of Gaussian array beams

“…Up to now a variety of linear, rectangular and radial laser arrays have been developed to achieve high system powers [18,19]. Much work has been carried out concerning propagation of laser array beams through atmospheric turbulence [20][21][22][23]. However, until now influence of oceanic turbulence on propagation characteristics of laser array beams has not been examined.…”