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Comparison of the solutions from a novel variational method with numerical results for the study of beam propagation
Wei-Ping Zang1, Jian-Guo Tian, Zhi-Bo Liu
1Photonics Center, College of Physics, Nankai University, Tianjin 300071, China.
Abstract:
We present results from a novel variational method for the study of beam propagation in a Kerr medium with nonlinear absorption. This new method combines the variational method and a nonlinear absorption equation and gives a concise expression for the combination. The results obtained with this method show good quantitative agreement with numerical solutions obtained with the finite-difference method. It is shown that the variational method takes much less time than a numerical simulation with the finite-difference method for analysis of beam propagation in a thick medium with nonlinear absorption and nonlinear refraction. The new method makes detailed analysis of beam propagation in a Kerr medium with nonlinear absorption very simple and fast.
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