Improvement and application of linearized invariant imbedding T-matrix scattering method
Improvement and application of linearized invariant imbedding T-matrix scattering method
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DOI：
10.1016/j.jqsrt.2022.108322
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Bingqiang Sun
中科院分区：
文献类型：
--
作者：
Chenxu Gao;Bingqiang Sun
• The linearized invariant imbedding T-matrix method is significantly improved by removing the divergent situations of original algorithms. • The derivatives associated with three kinds of effective radii are derived and shown for integrated and differential scattering properties. • The scattering properties are extremely sensitive to the aspect ratio or shape parameter under the definition of different effect radius. The Jacobians of particle scattering properties with respect to aspect ratio and effective radius ( r e ) using the invariant imbedding T-matrix method (IITM) are significantly improved by circumventing the divergence of derivatives. The effective radius r e is used in three definitions, which are r V , the equal-volume spherical radius, r S , the equal-surface-area spherical radius, and r VS , the ratio of three times the volume to surface area, respectively. The improved IITM and their Jacobians are applied to discuss the discrepancies between the three different definitions. The analytical Jacobians with respect to aspect ratios and effective radii associated with three effective radii are verified using the finite-difference method. Jacobians with respect to different effective radii are proportional since the ratios of different effective radii are only related to the aspect ratios. Jacobians with respect to aspect ratios are extremely sensitive to the definitions of effective radius.
