Services - Software | Module: N-Particles Centered T-Matrix Formalism


This module uses the N-Particles Centered T-Matrix formalism to solve the vector multiple scattering equation of light on a fixed number of axis-symmetric particles.

It offers the following calculations´capabilities:

  • Far-Field Orientation and Polarization average optical properties calculations.


  • Far-Field optical properties calculation on fixed orientation.


  • Near-Field Orientation and Polarization average optical properties calculations.

  • Near-Field optical properties calculation on fixed orientation.


In addition to the Standard calculation module, we have developed two others, to facilitate the realization of many typical studies:


  • The Meso volume element builder:

Automatically generates the random positions of spheres as function of particles´ volume filling, size distribution and total number. 


  • The Cluster builder:

Automatically generates clusters of sphere as functions of the primary particles total number and sizes and the cluster´s compactness.


Description and validation of the theoretical framework

Comparison with experimental data and Generalized MMulti Mie Theory

"Individual and aggregate scattering matrices and cross sections : conservation laws and reciprocity"

B.Stout,  J.C.Auger and J.Lafait,

Journal of Modern Optics, 48(14), pp. 2105-2128 (2001).

"A recursive centered T-Matrix algorithm to solve the multiple scattering equation : numerical validation",

J.C.Auger, B.Stout

JQSRT, 79-80 pp.533-547 (2003)

"Recursive T matrix algorithm for resonant multiple scattering: applications to localized plasmon excitations"

Brian stout, J.-C. Auger, Alexis Deviles

J. Opt. Soc. Am. A 25, pp 2549-2557 (2008)"


Light scattering by clusters of spheres

Effect of the cluster compactness and primary particle refraction index

"Scattering efficiency of aggregated clusters of spheres : dependence on configuration and composition"

J.C. Auger, B.Stout, V. Martinez

JOSA A, 22 pp. 2700-2708 (2005)


Two Angular Optical Scattering Patterns

Cluster of polymer spheres: comparison with experimental data

"Observations and calculations of light scattering from clusters of spheres"

S.Holler J.C.Auger B.Stout Y.Pan J.R.Bottiger R.K.Chang G.Videen

Applied Optics, 39, pp. 6873-6887 (2000)


Near Field calcultions

System of two particles as a function of the distance of separation

¨Local field intensity in aggregates illuminated
by diffuse light: T matrix approach¨

S.Holler J.C.Auger B.Stout

Applied Optics, Vol.47, No.16  (2008)