Evolution Properties of a Partially Coherent Twisted Laguerre-Gaussian Pulsed Beam Propagating through Anisotropic Atmospheric Turbulence

Abstract

Analytical expressions for the cross-spectral density matrix of a partially coherent twisted Laguerre-Gaussian pulsed (PCTLGP) beam in anisotropic atmospheric turbulence are derived based on the extended Huygens–Fresnel principle. Numerical results indicate that the atmospheric turbulence induces the degeneration of the spectral intensity distribution of the PCTLGP beam, and the PCTLGP beam also shows different evolution properties on propagation in weaker turbulence and stronger turbulence. The PCTLGP beam with a negative twisted factor exhibits an advantage over the Laguerre-Gaussian pulsed beam for reducing the atmospheric turbulence-induced degeneration, and this advantage is further strengthened with increasing the topological charge, mode order and absolute value of the twisted factor. In addition, we also find that the pulse duration will affect the spectral intensity of the PCTLGP beam in turbulence. This kind of beam will show potential application value in free-space optical communications and remote sensing.

Spectral shifts and spectral switches of partially coherent electromagnetic vortex beam propagating through turbulent atmosphere

“…k=/c denotes the wavenumber with c being the speed of light in vacuum. s1=(x1,y1) and s2=(x2,y2) are the position vectors on the source plane,  (r1, s1) and  (r2, s2) represent the random parts of the complex phase of a spherical wave due to the atmospheric turbulence [28] , is shown as follows:…”

Study of Reducing Atmospheric Turbulence-Induced Beam Wander of a Twisted Electromagnetic Elliptical Vortex Beam

“…It is well known that atmospheric turbulence will cause a series of deleterious turbulence effects, such as beam spreading and beam wander, scintillation (i.e., intensity fluctuation), and phase distortion, which will result in an increase in the communication error rate and a drop in the channel capacity of the optical system [1][2][3][4][5][6][7][8][9][10]. It has been experimentally investigated that general atmospheric turbulence possesses a turbulence structure different from the typical Kolmogorov's one.…”

“…It could have other energy distributions among differently-sized turbulent eddies and exhibit non-homogeneity, i.e., the non-Kolmogorov turbulence [11][12][13][14][15][16][17]. Over the past several decades, many works have been carried out concerning the propagation of various laser beams in atmospheric turbulence due to its important applications in free-space optical communications, remote sensing, and lidar distance measurement [8][9][10][11][12][13][14][15][16][17][18][19][20]. Beam wander (BW) is characterized by the random displacement of the instantaneous center of a laser beam as it propagates through atmospheric turbulence, which is an important property determining the performance of laser beams in practical applications, such as beam tracking and pointing, in high-energy laser systems and military applications [4,7,[16][17][18].…”

“…Beam wander (BW) is characterized by the random displacement of the instantaneous center of a laser beam as it propagates through atmospheric turbulence, which is an important property determining the performance of laser beams in practical applications, such as beam tracking and pointing, in high-energy laser systems and military applications [4,7,[16][17][18]. BW is a significant limitation in the above applications; therefore, it is of practical importance to develop some methods to overcome or alleviate the turbulence-induced BW, and it is also revealed in [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] that one-way use of a laser beam with special spatial structures can achieve this goal.…”

Polarization characteristics of partially coherent radially and azimuthally polarized beams with vortex phase propagating through atmospheric turbulence

“…Researchers have found that through controlling the coherence width of the partially coherent (PC) beam can be applied to many domains. Such as free space optical communication, optical image, laser fusion, quantum optics and particle scattering and trapping [2][3][4][5][6][7][8][9]. The beam with non-uniform polarization state is named vector beam and exists polarization singularity.…”