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Numerical solution of nonlinear diffraction problems |
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| Authors: | Gang Bao Ying Li Haijun Wu |
| Institution: | aDepartment of Mathematics, Michigan State University, MI 48824, USA bDepartment of Mathematics, Nanjing University, 210093, PR China |
| Abstract: | An adaptive finite element method is developed for solving Maxwell's equations in a nonlinear periodic structure. The medium or computational domain is truncated by a perfect matched layer (PML) technique. Error estimates are established. Numerical examples are provided, which illustrate the efficiency of the method. |
| Keywords: | Nonlinear gratings Second harmonic generation Adaptive finite element PML |
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