Coarse mesh rapid time domain finite difference method

Abstract

The invention relates to a coarse mesh rapid time domain finite difference method and belongs to the field of electromagnetic field value calculating. A time step length delta t is not related to a spatial mesh length delta z and a spatial mesh length delta x just needs to be smaller than or equal to half the minimal wavelength of a simulation frequency segment. Two major limitation conditions of a traditional time domain finite difference method can be solved at the same time, wherein the two major limitation conditions are a Courant-Friedrich-Levy time stability condition and a spatial dispersion isolation limitation condition. With the method, the time stability condition is lowered and at the same time, limitation of wavelength on the spatial mesh length is perfected. The coarse mesh rapid time domain finite difference method is applicable to simulation of a complicated target with a fine structure and an electrically large structure. Compared with the traditional time domain finite difference method, the coarse mesh rapid time domain finite difference method has two major advantages of being high in calculating efficiency and little in internal memory needed by calculating.

Description

technical field [0001] The invention belongs to the field of numerical calculation of electromagnetic fields, and in particular relates to a fast time-domain finite difference method with coarse grids. Background technique [0002] At present, with the development of science and technology, the application range of the electromagnetic spectrum has been extended from the microwave band to the light wave band, and the device size has also been reduced to the nanometer range. More and more electromagnetic targets present complex features with both fine structure and electrically large-scale structure, such as large-scale integrated circuit devices in the terahertz band, transmitting antennas on large and complex carriers, and electronic information systems under the action of nuclear electromagnetic pulses. And thin layer coating electric large target and so on. These complex targets with both fine structure and electrically large-scale structure pose new challenges to the cal...

AI Technical Summary

Problems solved by technology

Although the time-domain electromagnetic simulation with fine structure and the simulation of electrically large-sized targets have been solved through the continuous efforts and improvements of researchers, if the simulated target has fine structure and electrically large size at the same time, no matter the traditional time domain domain finite-difference method, weakly conditionally stable finite-difference time-domain method, and time-domain multiresolution wavelet method or pseudo-spectral time-domain difference method have insufficient analytical capabilities

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