Spectral properties of pulsed Laguerre higher-order cosh-Gaussian beam propagating through the turbulent atmosphere

The formula for the propagation of pulsed Laguerre higher-order cosh-Gaussian (LHChG) beam in turbulent atmosphere is derived using the extended Huygens-Fresnel principle and the Fourier Transform method. The impact of atmospheric turbulence, transverse positions, and initial beam parameters on the spectral intensity of the propagated beam has been examined using graphical representations. The relative spectral shift of pulsed LHChG beam in turbulent atmosphere with different radial coordinates has also been studied and illustrated with numerical calculations. Analysis show that the spectral intensity depends on the structure constant of the refractive index, pulse duration, and beam order. On-axis spectral intensity is blue-shifted and off-axis spectral intensity is red-shifted with increasing radial coordinate. From our main results, one derive some published particular cases of the considered beam. The research results have potential applications in information coding and transmission.