OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 18 — Jun. 20, 2001
  • pp: 3110–3123

Application of the extended boundary condition method to homogeneous particles with point-group symmetries

F. Michael Kahnert, Jakob J. Stamnes, and Knut Stamnes  »View Author Affiliations


Applied Optics, Vol. 40, Issue 18, pp. 3110-3123 (2001)
http://dx.doi.org/10.1364/AO.40.003110


View Full Text Article

Enhanced HTML    Acrobat PDF (231 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The numerical evaluation of surface integrals is the most time-consuming part of the extended boundary condition method (EBCM) for calculating the T matrix. An efficient implementation of the method is presented for homogeneous particles with discrete geometric symmetries and is applied to regular polyhedral prisms of finite length. For such prisms, an efficient quadrature scheme for computing the surface integrals is developed. Exploitation of these symmetries in conjunction with the new quadrature scheme leads to a reduction in CPU time by 3 orders of magnitude from that of a general EBCM implementation with no geometry-specific adaptations. The improved quadrature scheme and the exploitation of symmetries account for, respectively, 1 and 2 orders of magnitude in the total reduction of the CPU time. Test results for scattering by rectangular parallelepipeds and hexagonal plates are shown to agree well with corresponding results obtained by use of the discrete-dipole approximation. A model application for various polyhedral prisms is presented.

© 2001 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(290.5850) Scattering : Scattering, particles

History
Original Manuscript: August 25, 2000
Revised Manuscript: February 26, 2001
Published: June 20, 2001

Citation
F. Michael Kahnert, Jakob J. Stamnes, and Knut Stamnes, "Application of the extended boundary condition method to homogeneous particles with point-group symmetries," Appl. Opt. 40, 3110-3123 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-18-3110


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. I. Mishchenko, “Light scattering by randomly oriented axially symmetric particles,” J. Opt. Soc. Am. A 8, 871–882 (1991). [CrossRef]
  2. N. G. Khlebtsov, “Orientational averaging of light-scattering observables in the T-matrix approach,” Appl. Opt. 31, 5359–5365 (1992). [CrossRef] [PubMed]
  3. D. W. Mackowski, M. I. Mishchenko, “Calculation of the T-matrix and the scattering matrix for ensembles of spheres,” J. Opt. Soc. Am. A 13, 2266–2278 (1996). [CrossRef]
  4. P. C. Waterman, “Matrix formulation of electromagnetic scattering,” Proc. IEEE 53, 805–812 (1965). [CrossRef]
  5. P. C. Waterman, “Symmetry, unitarity, and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1970). [CrossRef]
  6. P. Barber, “Differential scattering of electromagnetic waves by homogeneous isotropic dielectric bodies,” Ph.D. dissertation (University of California, Los Angeles, Los Angeles, Calif., 1973).
  7. P. Barber, C. Yeh, “Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies,” Appl. Opt. 14, 2864–2872 (1975). [CrossRef] [PubMed]
  8. P. C. Waterman, “Matrix methods in potential theory and electromagnetic scattering,” J. Appl. Phys. 50, 4550–4566 (1979). [CrossRef]
  9. F. M. Schulz, K. Stamnes, J. J. Stamnes, “Scattering of electromagnetic waves by spheroidal particles: a novel approach exploiting the T matrix computed in spheroidal coordinates,” Appl. Opt. 37, 7875–7896 (1998). [CrossRef]
  10. T. Rother, “General aspects of solving Helmholtz’s equation underlying eigenvalue and scattering problems in electromagnetic wave theory,” J. Electromagn. Waves Appl. 13, 867–888 (1999). [CrossRef]
  11. T. Rother, K. Schmidt, “The discretized Mie-formalism for plane wave scattering on dielectric objects with non-separable geometries,” J. Quant. Spectrosc. Radiat. Transfer 55, 615–625 (1996). [CrossRef]
  12. T. Rother, K. Schmidt, “The discretized Mie-formalism—a novel algorithm to treat scattering on axisymmetric particles,” J. Electromagn. Waves Appl. 10, 273–297 (1996). [CrossRef]
  13. T. Wriedt, A. Doicu, “Formulations of the extended boundary condition method for three-dimensional scattering using the method of discrete sources,” J. Mod. Opt. 45, 199–213 (1998). [CrossRef]
  14. T. Wriedt, A. Doicu, “Novel software implementation of the T-matrix method for arbitrary configurations of single and clusters of composite nonspherical particles,” in Light Stattering by Nonspherical Particles: Halifax Contributions, G. Videen, Q. Fu, P. Chýlek, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2000), pp. 83–86.
  15. H. Laitinen, K. Lumme, “T-matrix method for general star-shaped particles: first results,” J. Quant. Spectrosc. Radiat. Transfer 60, 325–334 (1998). [CrossRef]
  16. S. Havemann, A. J. Baran, “Extention of the T-matrix formulation to general 3d homogeneous dielectric particles: examples of exact calculations for hexagonal ice columns and plates,” in Light Stattering by Nonspherical Particles: Halifax Contributions (U.S. Army Research Laboratory, Adelphi, Md., 2000), pp. 107–110.
  17. B. T. Draine, J. J. Goodman, “Beyond Clausius–Mossotti: wave propagation on a polarizable point lattice and the discrete dipole approximation,” Astrophys. J. 105, 685–697 (1993). [CrossRef]
  18. B. T. Draine, P. J. Flatau, “Discrete-dipole approximation for scattering calculations,” J. Opt. Soc. Am. A 11, 1491–1499 (1994). [CrossRef]
  19. B. T. Draine, “The discrete dipole approximation for light scattering by irregular targets,” in Light Scattering by Nonspherical Particles, M. I. Mishchenko, J. W. Hovenier, L. D. Travis, eds. (Academic, San Diego, Calif., 2000), pp. 131–144. [CrossRef]
  20. P. Yang, K. N. Liou, “Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space,” J. Opt. Soc. Am. A 13, 2072–2085 (1996). [CrossRef]
  21. W. Sun, Q. Fu, Z. Chen, “Finite-difference time domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition,” Appl. Opt. 38, 3141–3151 (1999). [CrossRef]
  22. M. I. Mishchenko, “Light scattering by size–shape distributions of randomly oriented axially symmetric particles of a size comparable to a wavelength,” Appl. Opt. 32, 4652–4665 (1993). [CrossRef] [PubMed]
  23. Y. Mano, “Exact solution of electromagnetic scattering by a three-dimensional hexagonal ice column obtained with the boundary-element method,” Appl. Opt. 39, 5541–5546 (2000). [CrossRef]
  24. I. A. Zagorodnov, R. P. Tarasov, “Finite groups in numerical solution of electromagnetic scattering problems on non-spherical particles,” in Light Stattering by Nonspherical Particles: Halifax Contributions, G. Videen, Q. Fu, P. Chýlek, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2000), pp. 99–102.
  25. C.-R. Hu, G. W. Kattawar, M. E. Parkin, P. Herb, “Symmetry theorems on the forward and backward scattering Mueller matrices for light scattering from a nonspherical dielectric scatterer,” Appl. Opt. 26, 4159–4173 (1987). [CrossRef] [PubMed]
  26. F. M. Schulz, K. Stamnes, J. J. Stamnes, “Point group symmetries in electromagnetic scattering,” J. Opt. Soc. Am. A 16, 853–865 (1999). [CrossRef]
  27. F. M. Kahnert, J. J. Stamnes, K. Stamnes, “Application of the extended boundary condition method to particles with sharp edges: a comparison of two surface integration approaches,” Appl. Opt. (to be published). LP1734D.
  28. P. W. Barber, S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
  29. M. I. Mishchenko, L. D. Travis, A. Macke, “Scattering of light by polydisperse, randomly oriented, finite circular cylinders,” Appl. Opt. 35, 4927–4940 (1996). [CrossRef] [PubMed]
  30. D. M. Bishop, Group Theory and Chemistry (Dover, Mineola, N.Y., 1993).
  31. T. Wriedt, U. Comberg, “Comparison of computational scattering methods,” J. Quant. Spectrosc. Radiat. Transfer 60, 411–423 (1998). [CrossRef]
  32. M. I. Mishchenko, W. B. Rossow, A. Macke, A. A. Lacis, “Sensitivity of cirrus cloud albedo, bidirectional reflectance and optical thickness retrieval accuracy to ice particle shape,” J. Geophys. Res. 101, 16,973–16,985 (1996). [CrossRef]
  33. M. I. Mishchenko, L. D. Travis, R. A. Kahn, R. A. West, “Modeling phase functions for dustlike tropospheric aerosols using a shape mixture of randomly oriented polydisperse spheroids,” J. Geophys. Res. 102, 16,831–16,847 (1997). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited