Evolution of the partially coherent Generalized Flattened Hermite-Cosh-Gaussian beam through a turbulent atmosphere
- PDF / 5,185,673 Bytes
- 17 Pages / 439.37 x 666.142 pts Page_size
- 40 Downloads / 189 Views
Evolution of the partially coherent Generalized Flattened Hermite‑Cosh‑Gaussian beam through a turbulent atmosphere S. Chib1 · L. Dalil‑Essakali1 · A. Belafhal1 Received: 9 May 2020 / Accepted: 8 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The current paper investigates the impact of a turbulent atmosphere on the propagation of a partially coherent Generalized Flattened Hermite Cosh-Gaussian (GFHChG) beam. The evaluation of a theoretical expression of the average intensity distribution for the partially coherent GFHChG beam is based on the extended Huygens-Fresnel diffraction integral and the Rytov’s quadratic approximation. The results of some laser beams are deduced as special cases from the present work. The behavior of the studied beam which is propagating through a turbulent atmosphere is analyzed through numerical illustrations. Results indicate that the partially coherent GFHChG beam successively changes shape from a doughnut to a flattened then to a Gaussian profile during its propagation in a turbulent atmosphere. Keywords Turbulent atmosphere · Partially coherent generalized flattened hermite coshgaussian beam · Huygens-fresnel diffraction integral · Rytov’s quadratic approximation
1 Introduction Over the past decades, a great deal of research has been directed to study the propagation characteristics of laser beams in a turbulent atmosphere (Eyyuboğlu and Baykal 2005; Cai and He 2006; Chu et al. 2007; Bao-Suan and Ji-Xiong 2009; Zhou 2011; Belafhal et al. 2011; Hennani et al. 2013; Ez-zariy et al. 2016; Boufalah et al. 2016, 2018; Saad et al. 2017; Yaalou et al. 2019), with some paying a particular attention to the propagation of spatially partially coherent laser beams through a turbulent atmosphere (Shirai et al. 2003; Eyyuboğlu 2008; Wang 2008; Lin and Pu 2009; Eyyuboğlu and Sermutlu 2013; Gbur 2014) for its significance in some fields like optical information processing (Zhuang and Yu 1982), remote detection (Wu and Cai 2011), optical scattering (van Dijk et al. 2010) and free-space optical communication (Korotkova 2004). Moreover, it has been reported that partially coherent laser beams are less affected by the turbulent atmosphere than fully coherent beams (Jian 1990). This has * A. Belafhal [email protected] 1
Laboratory LPNAMME, Laser Physics Group, Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B 20, 24000 El Jadida, Morocco
13
Vol.:(0123456789)
484
Page 2 of 17
S. Chib et al.
also experimentally demonstrated by Dogariu and Amarande (2003). Recently, the propagation properties of Hermite-cosh-Gaussian beams traveling through an atmospheric turbulence are studied in details by Eyyuboğlu (2005). It has been observed that by choosing suitable parameters, the average intensity distribution of these beams presents a cosh distribution shape, then a sine or cosine distribution and finally takes a Gaussian distribution. After, Yang et al. have analyzed the evolution of partially coherent Hermite-cosh-Gaussian
Data Loading...
