Far-field Lorenz–Mie scattering in an absorbing host medium. II: Improved stability of the numerical algorithm

Michael I. Mishchenko, Janna M. Dlugach, James A. Lock, Maxim A. Yurkin

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

A recently developed FORTRAN program computing far-field optical observables for spherical particles in an absorbing medium has exhibited numerical instability arising when the product of the particle vacuum size parameter and the imaginary part of the refractive index of the host becomes sufficiently large. We offer a simple analytical explanation of this instability and propose a compact numerical algorithm for the stable computation of Lorenz–Mie coefficients based on an upward recursion formula for spherical Hankel functions of a complex argument. Extensive tests confirm an excellent accuracy of this algorithm approaching machine precision. The improved public-domain FORTRAN program is available at https://www.giss.nasa.gov/staff/mmishchenko/Lorenz-Mie.html.

Original languageEnglish
Pages (from-to)274-277
Number of pages4
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume217
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • Absorbing host medium
  • Far-field electromagnetic scattering
  • Lorenz–Mie theory
  • Spherical Hankel functions
  • Lorenz-Mie theory
  • EXTINCTION

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