The use of Gaussian elimination with backsubstitution for matrix inversion in scattering theories is discussed. Within the framework of the T-matrix method (the state-of-the-art code by Mishchenko is freely available at http://www.giss.nasa.gov/∼crmim), it is shown that the domain of applicability of Mishchenko's FORTRAN 77 (F77) code can be substantially expanded in the direction of strongly absorbing particles where the current code fails to converge. Such an extension is especially important if the code is to be used in nanoplasmonic or nanophotonic applications involving metallic particles. At the same time, convergence can also be achieved for large nonabsorbing particles, in which case the non-Numerical Algorithms Group option of Mishchenko's code diverges. Computer F77 implementation of Mishchenko's code supplemented with Gaussian elimination with backsubstitution is freely available at http://www.wave-scattering.com.
© 2005 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(290.0290) Scattering : Scattering
(290.1310) Scattering : Atmospheric scattering
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
Alexander Moroz, "Improvement of Mishchenko's T-matrix code for absorbing particles," Appl. Opt. 44, 3604-3609 (2005)