scholarly journals Beam Propagation Factor of Hollow Higher-order Cosh-Gaussian Beams

2021 ◽  
Author(s):  
Faroq Saad ◽  
Ahmed Abdulrab Ali Ebrahim ◽  
Abdelmajid Belafhal
Keyword(s):  
Mathematical Model ◽  
Numerical Simulations ◽  
Beam Propagation ◽  
General Characteristic ◽  
Higher Order ◽  
Beam Waist ◽  
Gaussian Beams ◽  
Propagation Factor ◽  
Analytical Formulae ◽  
Beam Propagation Factor

Abstract Based on the second-order moments definition, we investigate in this paper the beam propagation factor of new mathematical model of Hollow higher-order Cosh-Gaussian (HhCG) beams. Two analytical formulae of the M2-factor of HhCG beams are derived. Moreover, numerical simulations are developed to illustrate the effects of the beams orders n and l, the parameter δ and the beam waist ω0 on the M2-factor. The result shows a more general characteristic of higher-order Cosh-Gaussian, Cosh-Gaussian and the fundamental Gaussian beams can be obtained as specials cases of HhCG beams.

Turbulent Distance of Partially Coherent Hollow Gaussian Beams

2011 ◽  
Vol 321 ◽  
pp. 256-260
Author(s):  
Bang Yuan Hao
Keyword(s):  
Gaussian Beam ◽  
Optical Communication ◽  
Beam Propagation ◽  
Gaussian Beams ◽  
Partially Coherent ◽  
Propagation Factor ◽  
Communication Links ◽  
Beam Propagation Factor ◽  
Angular Spreading

For partially coherent hollow Gaussian beam (HGB), the turbulent distance, in which all of the spatial and angular spreading and the beam propagation factor increasing due to turbulence can be neglected, has been investigated in detail. It is shown that the turbulent distance of partial coherent HGBs increases with increasing beam order and wavelength, and decreasing turbulent parameter and coherent parameter. With increasing waist width, the turbulent distance first increases and then decreases. Furthermore, the turbulent distance of a HGB is much larger than that of the corresponding Gaussian Schell-model (GSM) beam when choosing the appropriate value of the waist width, implying that a HGB may be more appropriate to be used in optical communication links than a GSM beam.

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