Simulation method for electromagnetic problem containing nonlinear dispersive medium

Abstract

The invention discloses a simulation method for an electromagnetic problem containing a nonlinear dispersive medium, which comprises the following steps of: establishing a geometric model of a medium according to the geometric size of the medium of a device, subdividing the model by adopting a hexahedron unit, acquiring the geometric information of the device and setting the position information of an excitation source; performing region division on the subdivided geometric model according to the kernel number of the parallel parameters; and establishing a differential equation set by adopting a time domain discontinuous Galerkin finite element method, and solving any dispersion model and a nonlinear dispersive medium model in the geometric model of the medium. According to the method, on the basis of the time domain discontinuous Galerkin finite element, by combining the local time stepping and parallel technology, modeling of a complex medium and electromagnetic characteristic analysis of a nonlinear dispersive medium can be achieved; due to the fact that the time domain discontinuous Galerkin finite element method has the advantages of being high in precision and flexible in modeling, an inverse matrix can be directly obtained, and due to the fact that local time stepping and parallel technologies are added, the calculation time can be greatly shortened.

Description

technical field [0001] The invention belongs to the electromagnetic characteristic simulation technology of nonlinear problems, in particular to a simulation method including electromagnetic problems of nonlinear dispersion medium. Background technique [0002] Due to the emergence of lasers, the nonlinear medium effect is gradually reflected in people's sight. The polarization intensity is no longer linear with the electric field, but in the form of a high power. With the increase of the incident wave amplitude, its non-linear relationship The linear effect also increases. Nonlinear media have a wide range of applications in optics, such as optical switches, four-wave mixing (FWM), amplifiers, and modulators. Optical soliton waves with constant shape and speed can be formed in optical fiber communications, which is helpful to achieve lossless communication. For nonlinear media problems, the Maxwell equations can generally be calculated to obtain the electromagnetic proper...

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Problems solved by technology

In the same year, Zhu B et al regarded nonlinear electromagnetic parameters as piecewise linear parameters, which improved the solution speed, but the construction of piecewise linear parameters is not universal

In 2019, Moradi M et al. from Iran University of Science and Technology used FDTD based on the alternating implicit method to analyze the third harmonic phenomenon of nonlinear dispersive media. When the value is large, the calculation result will be inaccurate

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