Long-term spreading of Gaussian beam using generalized modified atmospheric spectrum

Abstract

This paper investigates the long-term spreading radius of Gaussian beam propagating through the non-Kolmogorov turbulence along horizontal path. Based on the geometrical optics approximation and the property of Gamma function, the mathematical expression of the long-term spreading radius under the generalized modified atmospheric spectrum is reduced. The final expression could involve the power law value of non-Kolmogorov turbulence, the inner and outer scales, and other important parameters of Gaussian beam, simultaneously. The numerical simulations indicate that the long-term spreading radius is much more sensitive to the inner scale than to the outer scale. Besides, the larger the inner scale the smaller the long-term spreading radius could be.

Propagation characteristics of Gaussian beams in plasma sheath turbulence

“…where W e is a measure of the effective or long-term beam spot size [8,23], given by the following equation…”

Irradiance Scintillation Index for a Gaussian Beam Based on the Generalized Modified Atmospheric Spectrum with Aperture Averaged

“…where is the wavelength of the Gaussian wave. Thus, the curvature parameter of the Gaussian wave at the transmitter Θ 0 and the Fresnel ratio of the Gaussian wave at the transmitter Λ 0 are defined as [19]…”

“…Based on Euler's formula, we can get [20,21] (1 − cos ( ( ) 2 )) = Re (1 − exp ( ( ) 2 )) . (19) Thus, (10) can be rewritten as…”