scholarly journals Beam Propagation Factor of a Cosh-Airy Beam

2019 ◽  
Vol 9 (9) ◽  
pp. 1817 ◽  
Author(s):  
Yimin Zhou ◽  
Yiqing Xu ◽  
Guoquan Zhou

Based on the second-order moments, the analytical expression of the beam propagation factor of a cosh-Airy beam has been derived. The beam propagation factor was determined by the decay factor and the cosh parameter. Because the beam propagation factors in the x- and y-directions of the cosh-Airy beam have the same form, only the beam propagation factor in the x- direction was selected as the object of numerical calculation and analysis. The effects of the decay factor and the cosh parameter on the beam propagation factor were investigated. When the decay factor was greater than 1, the beam propagation factor first increased and then decreased with the increase of the cosh parameter, and finally, tended to a minimum value. Under the condition that the decay factor was less than 1, the beam propagation factor always increased with the increase of the cosh parameter. As the decay factor increased, the beam propagation factor decreased and tended to a minimum value. Finally, the effects of the decay factor and the cosh parameter on the squares of the beam waist and the divergence were analyzed in more detail.

2011 ◽  
Vol 13 (8) ◽  
pp. 085704 ◽  
Author(s):  
Rui-Pin Chen ◽  
Chao-Fu Ying

2021 ◽  
Author(s):  
Faroq Saad ◽  
Ahmed Abdulrab Ali Ebrahim ◽  
Abdelmajid Belafhal

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.


Author(s):  
Jorge Perez-Vizcaino ◽  
Omel Mendoza-Yero ◽  
Raul Martinez-Cuenca ◽  
Lluis Martinez-Leon ◽  
Jesus Lancis ◽  
...  

2004 ◽  
Vol 229 (1-6) ◽  
pp. 1-10 ◽  
Author(s):  
Bin Zhang ◽  
Xiaoliang Chu ◽  
Qiao Wen ◽  
Qinggang Zeng

2011 ◽  
Vol 321 ◽  
pp. 256-260
Author(s):  
Bang Yuan Hao

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.


1994 ◽  
Vol 105 (3-4) ◽  
pp. 233-242 ◽  
Author(s):  
Pierre-André Bélanger ◽  
Yves Champagne ◽  
Claude Paré

2013 ◽  
Vol 52 (8) ◽  
pp. 1591 ◽  
Author(s):  
Robert D. Niederriter ◽  
Juliet T. Gopinath ◽  
Mark E. Siemens

2004 ◽  
Vol 51 (15) ◽  
pp. 2279-2286
Author(s):  
N. Passilly ◽  
G. Martel ◽  
K. Aït-Ameur

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