Method for obtaining electromagnetic property of any chromatic dispersion material based on generalized coordinate system

Abstract

The invention discloses a method for obtaining the electromagnetic property of any chromatic dispersion material based on a generalized coordinate system. The method is applied in the field of three-dimensional electromagnetic field numerical value obtaining. By establishing the link between a generalized chromatic dispersion model and a traditional chromatic dispersion model, a corresponding coefficient is selected according to the material property of a target device, a specific chromatic dispersion model is obtained, and therefore a Maxwell equation set satisfied by the chromatic dispersionmaterial is deduced; spatial discretization is conducted on a Maxwell equation weak form through an intermittent galerkin method to form a semi-discrete form, and time discretization is conducted through a leapfrog time format to obtain a full-discrete format; due to the high dependency of units in the method, the same target device can be divided through different grids, it is ensured that parallel computing can be applied, and the chromatic dispersion problem of a multi-dimensional device can be solved at high precision, high speed and low computing cost, and the universality of the methodis increased by deducing the full-discrete format under the generalized coordinate system.

Description

technical field [0001] The invention belongs to the field of three-dimensional electromagnetic field numerical solution, in particular to a discontinuous Galerkin algorithm for solving the electromagnetic properties of arbitrary dispersion materials based on a generalized coordinate system. Background technique [0002] Most substances in nature belong to dispersive media. Researching and understanding the broadband characteristics of dispersive media is of great significance to promote the development and application of science and technology in the fields of modern communication and information technology, bioelectronic science, material science and space technology. However, due to the complexity of the properties of dispersive media, the study of its transient electromagnetic properties, as one of the frontier research topics in the field of electromagnetism, has always been a difficult problem in electromagnetic research and has not been well resolved so far. [0003] T...

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Problems solved by technology

[0005] In order to solve the above technical problems, the present invention proposes a method for solving the electromagnetic properties of arbitrary dispersion materials based on a generalized coordinate system, using a generalized dispersion model to fit the electromagnetic properties of complex dispersion materials, and using an improved time-domain algorithm to solve complex The instantaneous field around the structural dispersion material effectively solves the problems of the traditional time-domain electromagnetic field numerical method when dealing with multi-scale equipment in a complex electromagnetic environment, such as too long calculation time, too large memory and insufficient accuracy.

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