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A generic travelling wave solution in dissipative laser cavity

A generic travelling wave solution in dissipative laser cavity

Kaur, Baldeep and Jana, Soumendu (2016) A generic travelling wave solution in dissipative laser cavity. Pramana, 87 (4):53. ISSN 0304-4289 (Print), 0973-7111 (Online) (doi:https://doi.org/10.1007/s12043-016-1244-4)

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Abstract

A large family of cosh-Gaussian travelling wave solution of a complex Ginzburg–Landau equation (CGLE), that describes dissipative semiconductor laser cavity is derived. Using perturbation method, the stability region is identified. Bifurcation analysis is done by smoothly varying the cavity loss coefficient to provide insight of the system dynamics. He’s variational method is adopted to obtain the standard sech-type and the notso-explored but promising cosh-Gaussian type, travelling wave solutions. For a given set of system parameters, only one sech solution is obtained, whereas several distinct solution points are derived for cosh-Gaussian case. These solutions yield a wide variety of travelling wave profiles, namely Gaussian, near-sech, flat-top and a cosh-Gaussianwith variable central dip. A split-step Fourier method and pseudospectral method have been used for direct numerical solution of the CGLE and travelling wave profiles identical to the analytical profiles have been obtained. We also identified the parametric zone that promises an extremely large family of cosh-Gaussian travelling wave solutions with tunable shape. This suggests that the cosh-Gaussian profile is quite generic and would be helpful for further theoretical as well as experimental investigation on pattern formation, pulse dynamics andlocalization in semiconductor laser cavity.

Item Type: Article
Uncontrolled Keywords: Complex Ginzburg–Landau equation; dissipative system, stability analysis; He’s variational method; cosh-Gaussian travelling wave solution
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Faculty / Department / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Department of Applied Engineering & Management
Faculty of Engineering & Science > Wolfson Centre for Bulk Solids Handling Technology
Last Modified: 15 Jun 2018 09:25
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/20187

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