Lie-optic matrix algorithm for computer simulation of paraxial self-focusing in a plasma |
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| Authors: | D Subbarao R Uma Kamal Goyal Sanjeev Goyal Karuna Batra |
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| Affiliation: | (1) Center for Energy Studies, Indian Institute of Technology, 110016 New Delhi, India;(2) Present address: Tata Consultancy Services, Gurgaon, India;(3) Present address: the Ideal Institute of Technology, Ghaziabad, India;(4) Present address: the Center for Research in Cognitive, Systems, NIIT, IIT Delhi Campus, India |
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| Abstract: | Propagation algorithm for computer simulation of stationary paraxial self-focusing laser beam in a medium with saturating nonlinearity is given in Lie-optic form. Accordingly, a very natural piece-wise continuous Lie transformation that reduces to a restricted Lorentz group of the beam results. It gives rise to a matrix method for self-focusing beam propagation that is constructed and implemented. Although the results use plasma nonlinearities of saturable type, and a gaussian initial beam, these results are applicable for other media like linear optical fibers and to more general situations. |
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| Keywords: | Self-focusing Lie-optics laser beam propagation computer simulation in optics laser-plasma interaction |
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