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Microwave attenuation of spherical raindrops: An efficient TCS formula using 3‐D fitting
Author(s) -
Li LeWei,
Leong MookSeng,
Seow YongLee,
Yeo TatSoon,
Kooi PangShyan
Publication year - 1998
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19980205)17:2<121::aid-mop12>3.0.co;2-b
Subject(s) - microwave , attenuation , scattering , convergence (economics) , mie scattering , mathematics , work (physics) , mathematical analysis , optics , computational physics , physics , light scattering , quantum mechanics , economics , economic growth
In this work, the Mie scattering theory is implemented in the MATHEMATICA package, and a very compact program is developed. Also, exact values of the electromagnetic total scattering cross sections (TCS) for various cases have been obtained. It is found that, depending upon the frequency and raindrop sizes, the convergence of the summation may become very slow. To increase the computational speed, a three‐dimensional (3‐D) nonlinear least squares fitting has been carried out based on those exact results, and an asymptotic but efficient formula is obtained. It is found that the computational speed is increased more than ten times using the efficient formula generated by the 3‐D fitting. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 17: 121–125, 1998.