✍ Scribed by Le-Wei Li; Mook-Seng Leong; Yong-Lee Seow; Tat-Soon Yeo; Pang-Shyan Kooi
No coin nor oath required. For personal study only.
In this work, the Mie scattering theory is implemented in the MATHEMATICA package, and a ¨ery compact program is de¨eloped. Also, exact ¨alues of the electromagnetic total scattering cross ( ) sections TCS for ¨arious cases ha¨e been obtained. It is found that, depending upon the frequency and raindrop sizes, the con¨ergence of the summation may become ¨ery 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.
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