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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 5 — May. 1, 2002
  • pp: 881–893

Discrete dipole moment method for calculation of the T matrix for nonspherical particles

Daniel W. Mackowski  »View Author Affiliations


JOSA A, Vol. 19, Issue 5, pp. 881-893 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000881


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Abstract

A computational method, based on a moment solution to the discrete dipole approximation (DDA) interaction equations, is proposed for calculation of the T matrix of arbitrary-shaped particles. It is shown that the method will automatically provide the conservation-of-energy and origin-invariance properties required of the T matrix. Furthermore, the method is significantly faster than a T-matrix calculation by direct inversion of the DDA equations. Because the method retains the dipole lattice representation of the particle, it can be applied with relative ease to particles with irregular shapes—although in the same respect it will not automatically simplify for axisymmetric particles. Calculations of scattering matrix distributions, in fixed and random orientations, are made for tetrahedron, cylindrical, and prolate spheroid particle shapes and compared with DDA and extended boundary condition method results.

© 2002 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(010.1100) Atmospheric and oceanic optics : Aerosol detection
(290.5850) Scattering : Scattering, particles
(350.4990) Other areas of optics : Particles

History
Original Manuscript: March 29, 2001
Revised Manuscript: September 4, 2001
Manuscript Accepted: October 3, 2001
Published: May 1, 2002

Citation
Daniel W. Mackowski, "Discrete dipole moment method for calculation of the T matrix for nonspherical particles," J. Opt. Soc. Am. A 19, 881-893 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-5-881


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References

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