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Analysis of space doped fused silica fiber by Hamiltonian formula of Helmholtz equation

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Document pages: 11 pages

Abstract: In this paper, an alternative method for calculating mode parameters in optical fiber, such as transmission constant, transverse distribution and anisotropy, is discussed, which is caused by linear and nonlinear phenomena caused by doped silica region. The method is based on the Hamiltonian formula of Helmholtz equation and the steady-state perturbation theory. When linear anisotropic inhomogeneity and Kerr nonlinearity are included, the theory allows the complete vector description of the electric field component. Linear and nonlinear parameters can be found for each propagation mode. Compared with the numerical results of vector finite element method, its accuracy has been successfully tested, and the results have been published in the literature. This method helps to improve efficiency calculation of the spatial-distributed perturbation effects on individual electric field components for each propagating mode.

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