Abstract
An investigation to identify the role of quintic nonlinearity in induced focusing of two laser beams and in the conversion of a circular laser beam into an elliptic Gaussian beam is presented. To derive relevant beam width equations, a set of two coupled nonlinear Schrodinger equations has been solved using variational formalism. The threshold for induced focusing has been evaluated and the role played by quintic nonlinearity in determining this threshold has been identified. It has been found that less power is required for induced focusing in comparison to self-focusing of a single beam. For elliptic Gaussian beams, it has been shown that when the power of both beams is above a certain threshold the effective radius of both beams collapses, and the collapse distance depends on power. It has been further predicted that using induced focusing a circular laser beam can be converted into an elliptic Gaussian beam. The role played by quintic nonlinearity in this conversion is highlighted.
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