Propagation of a cosh-Gaussian beam through an optical system in turbulent atmosphere

Abstract

The propagation of a cosh-Gaussian beam through an arbitrary ABCD optical system in turbulent atmosphere has been investigated. The analytical expressions for the average intensity at any receiver plane are obtained. As an elementary example, the average intensity and its radius at the image plane of a cosh-Gaussian beam through a thin lens are studied. To show the effects of a lens on the average intensity and the intensity radius of the laser beam in turbulent atmosphere, the properties of a collimated cosh-Gaussian beam and a focused cosh-Gaussian beam for direct propagation in turbulent atmosphere are studied and numerically calculated. The average intensity profiles of a cosh-Gaussian beam through a lens can have a shape similar to that of the initial beam for a longer propagation distance than that of a collimated cosh-Gaussian beam for direct propagation. With the increment in the propagation distance, the average intensity radius at the image plane of a cosh-Gaussian beam through a thin lens will be smaller than that at the focal plane of a focused cosh-Gaussian beam for direct propagation. Meanwhile, the intensity distributions at the image plane of a cosh-Gaussian beam through a lens with different w(0) and Omega(0) are also studied.

Effect of optical system and turbulent atmosphere on the average intensity of partially coherent flat-topped vortex hollow beam

“…Based on the extended Huygens-Fresnel diffraction integral formula, the propagation eqation of laser beam through the ABCD optical system in atmosphere turbulence can be written as [2][3][4][5][6][7][8][9][10][11][12]:…”

“…And the optical system used in experiment will influence the evolution properties of laser beams propagating in turbulent atmosphere. Since the propagation of a laser beam propagation through an optical system in turbulent atmosphere is studied [2], various laser beam propagation through an optical system in turbulent atmosphere have been investigated, such as cosh-Gaussian beam [3], random electromagnetic beam [4], partially coherent cosine-Gaussian [5], stochastic electromagnetic Gaussian Schellmodel beam [6], radially polarized partially coherent beam [7], four-petal Gaussian [8], cylindrical vector Laguerre-Gaussian beam [9], elliptical Gaussian beam [10], annular vortex beam [11], four-petal Gaussian vortex beam [12] et al and with the development of laser technology, a new beam called flat-topped vortex hollow beam has been introduced and studied widely [13][14][15]. However, owing to its interesting properties and potential applications, the vortex beam has been widely studied.…”

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.…”

Far-field vectorial structure of a higher-order cosh-Gaussian beam

“…It is indicated that incoherent combinations of cosh-Gaussian beams can also produce flattened beam patterns [17]. Due to the above productive characteristics of cosh-Gaussian beams, many works relating to propagation properties of such beams in various media have been intensively carried out [13,15,[18][19][20]. Very recently, the higher-order coshGaussian (HOCG) beam, which is defined as a higherorder cosh function multiplied by a Gaussian function, has been introduced as the superposition of decentered Gaussian beams or cosh-Gaussian beams [21].…”