Improved exponential time integral constructing method in complicated dispersive medium

Abstract

The invention discloses an improved exponential time integral constructing method in a complicated dispersive medium, and is applied to the field of three-dimensional electromagnetic analysis numerical values. The improved exponential time integral constructing method in the complicated dispersive medium comprises the following steps: carrying out three-dimensional molding on a to-be-analyzed multi-scale target which comprises the complicated dispersive medium, and establishing a corresponding geometry structure model; splitting the established geometry structure model by using a tetrahedral mesh; separately integrating all local field components into respective corresponding global unknown quantities to construct a global semi-discrete format at first; and then integrating electric fieldand magnetic field components into an unknown quantity to obtain an ordinary differential equation, namely an electric field and magnetic field updating equation. Therefore, updating of electric fields and magnetic fields only needs vector manipulation, the circumstance that matrix exponentials are introduced to implement updating by a traditional exponential time integral method is avoided, to-be-solved matrix exponent dimensionality is reduced remarkably, the matrix exponent calculating efficiency is reduced effectively, and therefore, the simulating efficiency based on a time domain discontinuous Galerkin method of the exponential time integral method is improved.

Description

technical field [0001] The invention belongs to the field of three-dimensional electromagnetic analysis, in particular to a numerical solution technology for three-dimensional electromagnetic analysis. Background technique [0002] With the development of stealth technology, Internet of Things electromagnetic compatibility and electromagnetic shielding technologies, various complex dispersion materials are getting more and more attention. From various stealth coating materials for different application environments such as radar, infrared and even visible light in military stealth technology, to anti-electromagnetic interference and electromagnetic shielding design of civilian Internet of Things equipment, solar thin-film batteries and other fields are widely used. As the electromagnetic environment becomes more complex, so does the need for multispectral performance of these materials. Especially for multi-scale targets in complex electromagnetic environments, their geomet...

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Problems solved by technology

[0011] In order to solve the problem that the traditional exponential time integration method is difficult to perform high-efficiency and high-precision three-dimensional electromagnetic simulation analysis on multi-scale targets containing complex dispersion media, the present invention proposes an improved exponential time integration construction method in complex dispersion media. The time-domain discontinuous Galerkin method of the time-integration method, for the sparseness of the matrix index generated during the fine simulation analysis of multi-scale problems involving complex dispersive media, effectively reduces the calculation efficiency of the matrix index by improving the construction method of the time-integral index

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