一种基于主元加权迭代的拓展边界方法

By improving the matrix inversion process of the extended boundary method using the principal component weighted iteration method, the problems of non-convergence and insufficient accuracy in the calculation of atmospheric non-spherical particle scattering parameters are solved, and higher accuracy and wider range of calculations are achieved.

CN116204761BActive Publication Date: 2026-07-17NAT UNIV OF DEFENSE TECH

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
NAT UNIV OF DEFENSE TECH
Filing Date
2023-03-17
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing technologies suffer from high computational complexity and are prone to non-convergence issues when calculating the scattering parameters of atmospheric non-spherical particles, especially for large-scale and extremely shaped particles, resulting in insufficient computational accuracy.

Method used

The principal component weighted iteration method is used to replace the matrix inversion process in the extended boundary method. The matrix condition number is calculated by singular value decomposition, which is transformed into a system of real linear equations and then subjected to principal component weighted iteration, thereby reducing the ill-conditioned nature of the matrix and improving the accuracy of inversion.

Benefits of technology

It improves the calculation accuracy and range of atmospheric non-spherical particle scattering parameters, and can handle particles with larger scale and extreme shapes, with higher calculation efficiency and accuracy.

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Abstract

本发明公开了一种基于主元加权迭代的拓展边界方法,包括:获取粒子参数,基于粒子参数获取矩阵条件数;基于矩阵条件数判断矩阵是否病态,若矩阵病态,则对病态矩阵更换求逆方法,获取粒子散射参数;基于粒子散射参数获取大气中非球形粒子的散射特性。该方法在计算大气粒子散射参数时,计算精度更高;可计算粒子尺度参数范围更广,具有极高的实际应用价值。该方法可以作为粒子散射新模型应用到粒子散射参数的计算中。
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