A random hybrid explicit and implicit time domain finite difference method

Abstract

The invention relates to a random hybrid explicit and implicit time domain finite difference method, which comprises the following steps: defining random electromagnetic parameters, and determining the statistical law of the mean value and the standard deviation according to experimental data; performing linear expectation operation on the Maxwell equation to obtain an iterative solution formula of electric field and magnetic field expectations; performing variance operation on the Maxwell equation to obtain an iterative solution formula of the electric field variance and the magnetic field variance; inputting the mean value and the standard deviation of random electromagnetic parameters, and iteratively solving the expectation and the standard deviation of an electric field and a magneticfield in the Maxwell equation; and electromagnetic responses such as expectations and variances of the electric field and the magnetic field are subjected to post-processing to obtain broadband electromagnetic scattering characteristics. According to the method, the electromagnetic scattering characteristic of the target broadband can be obtained only by one-time operation, so that the calculation time is greatly saved; The method has great advantages and higher calculation efficiency when being used for processing materials with high spatial resolutions; according to the method, the calculation precision is ensured while the calculation efficiency is relatively high.

Description

technical field [0001] The invention relates to the technical field of numerical simulation of electromagnetic scattering characteristics of computational electromagnetics, in particular to a random mixed explicit and implicit time domain finite difference method. Background technique [0002] In the process of dealing with practical engineering problems, we usually encounter many objects with random intrinsic properties. Ground radar and remote sensing have a non-negligible impact. Specifically, due to the uncertainty in the composition of human tissues and organs, the various atmospheric environments and the dielectric properties of the earth's constituent materials, the study of the random properties of objects plays a vital role in the above fields, so it is also It has attracted extensive attention and research from scholars. On the other hand, errors in manufacturing and measurement techniques will also lead to uncertainties in the electrical properties of substances...

AI Technical Summary

Problems solved by technology

However, a large number of repeated full-wave simulation processes require a huge computational time cost

Therefore, the time-consuming nature of the MC method makes it difficult to apply to complex structural and practical engineering problems.

However, for materials with high contrast in spatial resolution, the time step of traditional time domain methods such as FDTD method is limited by the size of the finest grid unit, which greatly reduces the computational efficiency

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