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Chin. Phys. B, 2011, Vol. 20(4): 044201    DOI: 10.1088/1674-1056/20/4/044201

Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere

Zhao Yan-Zhong(赵延仲), Sun Hua-Yan(孙华燕), and Song Feng-Hua(宋丰华)
Department of Photoelectric Equivalent, Academy of Equivalent Command and Technology, Beijing 101416, China
Abstract  By using the extended Huygens–Fresnel diffraction integral and the method of expanding the aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula of the double-distance propagation for Gaussian beam passing through a tilted cat-eye optical lens and going back along the entrance way in a turbulent atmosphere has been derived. Through numerical calculation, the effects of incidence angle, propagation distance, and structure constant on the propagation properties of a Gaussian beam in a turbulent atmosphere are studied. It is found that the incidence angle creates an unsymmetrical average intensity distribution pattern, while the propagation distance and the structure constant can each create a smooth and symmetrical average intensity distribution pattern. The average intensity peak gradually deviates from the centre, and the central average intensity value decreases quickly with the increase in incidence angle, while a larger structure constant can bring the average intensity peak back to the centre.
Keywords:  cat-eye optical lens      turbulent atmosphere      Gaussian beams      double-distance propagation  
Received:  23 October 2010      Revised:  07 December 2010      Accepted manuscript online: 
PACS:  42.25.Dd (Wave propagation in random media)  
  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
  42.25.Fx (Diffraction and scattering)  
  42.79.Fm (Reflectors, beam splitters, and deflectors)  
Fund: Project supported by the National Defense Pre-research Foundation of China (Grant No. TY7131008).

Cite this article: 

Zhao Yan-Zhong(赵延仲), Sun Hua-Yan(孙华燕), and Song Feng-Hua(宋丰华) Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere 2011 Chin. Phys. B 20 044201

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