For spheres of size a larger than light wavelength λ the Mie series converges slowly, and ordinary computations cannot provide enough (say, 100) significant digits. A digit array is proposed to overcome this inconvenience. This method transforms a number into an array of digits, and operations are performed with respect to individual digits. It implies that the number of significant digits could be as many as necessary. With this method, patterns of light scattering from moderate particles, whose size parameter q=(2π/λ)a ranges from 0.01 to 500, are computed for different relative refractive indices nd/n0 (nd and n0 are, respectively, refractive indices of the sphere and the surrounding medium) and are compared with previous results.
© 2002 Optical Society of America
Guei-Gu Siu and Lu Cheng, "Mie solution of light scattering from spheres of radii up to 80λ with digit-array method," J. Opt. Soc. Am. B 19, 1922-1929 (2002)