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| Comparison of the Recursion Formula in Calculation of Mie Scattering |
| Received:January 28, 2021 Revised:March 10, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7643/issn.1672-9242.2021.07.011 |
| KeyWord:electromagnetic scattering Mie theory recursion formula |
| Author | Institution |
| LIN Le-ke |
China Research Institute of Radiowave Propagation, Qingdao , China |
| ZHAO Zhen-wei |
China Research Institute of Radiowave Propagation, Qingdao , China |
| ZHANG Xin |
China Research Institute of Radiowave Propagation, Qingdao , China |
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| Abstract: |
| A comparison of three recursion formulae in the calculation of Mie scattering is made herein, namely the forward recursive formula, the backward recursive formula and Zhao recursive formula. The convergence performance of the three formulae for calculating the normalized extinction cross section, normalized scattering cross section and normalized backscatter cross section is analyzed. It is found that the three scattering cross sections of the forward recursion formula diverge when x is larger, and the results of the backward reverse recursion formula and Zhao recursion formula both converge. In addition, the fault tolerance of the truncated items is also analyzed. The analysis shows that Zhao recursive formula has the best robustness to the truncated items. Through the above analysis, it is shown that Zhao recursive formula has the widest applicable range and the most accurate precision. |
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