Irreducible representations of finite groups in the T-matrix formulation of the electromagnetic scattering problem

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 22, Issue 6, 2005, Pages 1187-1199

  Kahnert, Michael ^a,b  

^a SWEDISH METEOROLOGICAL AND HYDROLOGICAL INSTITUTE   (Sweden)

^b NORWEGIAN INSTITUTE FOR AIR RESEARCH   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL SYMMETRY; INVERSE PROBLEMS; MATRIX ALGEBRA; POINT GROUPS; SET THEORY; VECTORS;

ELECTROMAGNETIC SCATTERING PROBLEM; FINITE POINT GROUPS; GROUP THEORY;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 20844458712     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.22.001187     Document Type: Article

References (25)

1. F. M. Schulz, K. Stamnes, and J. J. Stamnes, "Point-group symmetries in electromagnetic scattering," J. Opt. Soc. Am. A 16, 853-865 (1999).
2. F. M. Kahnert, J. J. Stamnes, and K. Stamnes, "Application of the extended boundary condition method to homogeneous particles with point-group symmetries," Appl. Opt. 40, 3110-3123 (2001).
3. F. M. Kahnert, J. J. Stamnes, and K. Stamnes, "Can simple particle shapes be used to model scalar optical properties of an ensemble of wavelength-sized particles with complex shapes?," J. Opt. Soc. Am. A 19, 521-531 (2002).
4. F. M. Kahnert, J. J. Stamnes, and K. Stamnes, "Using simple particle shapes to model the Stokes scattering matrix of ensembles of wavelength-sized particles with complex shapes: possibilities and limitations," J. Quant. Spectrosc. Radiat. Transf. 74, 167-182 (2002).
5. F. M. Kahnert, "Reproducing the optical properties of tine desert dust aerosols using ensembles of simple model particles," J. Quant. Spectrosc. Radiat. Transf. 85, 231-249 (2004).
6. M. Kahnert and A. Kylling, "Radiance and flux simulations for mineral dust aerosols: assessing the error due to using spherical or spheroidal model particles," J. Geophys. Res. 109, D09203 doi: 10.1029/ 2003JD004318; errata; doi: 10.1029/2004JD005311 (2004).
7. T. Nousiainen, M. Kahnert, and B. Veihelmann, "Light scattering modeling of small feldspar aerosol particles using polyhedral prisms and spheroids," J. Quant. Spectrosc. Radiat. Transf. (to be published).
8. I. A. Zagorodnov and R. P. Tarasov, "Finite groups in numerical solution of electromagnetic scattering problems on non-spherical particles," in Light Scattering by Nonspherical Particles: Halifax Contributions (Army Research Laboratory, Adelphi, Md., 2000), pp. 99-102.
9. T. Rother, M. Kahnert, A. Doicu, and J. Wauer, "Surface Green's function of the Helmholtz equation in spherical coordinates," in Progress in Electromagnetic Research (PIER), J. A. Kong, ed. (EMW, Cambridge, Mass., 2002), Vol. 38, pp. 47-95.
10. D. M. Bishop, Group Theory and Chemistry (Dover, Mineola, N.Y., 1993).
11. S. Havemann and A. J. Baran, "Extension of T matrix to scattering of electromagnetic plane waves by non-axisymmetric dielectric particles: application to hexagonal ice cylinders," J. Quant. Spectrosc. Radiat. Transf. 70, 139-158 (2001).
12. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, Cambridge, UK, 2002).
13. F. M. Kahnert, "Numerical methods in electromagnetic scattering theory," J. Quant. Spectrosc. Radiat. Transf. 79-80, 775-824 (2003).
14. P. C. Waterman, "Matrix formulation of electromagnetic scattering," Proc. IEEE 53, 805-812 (1965).
15. F. M. Schulz, K. Stamnes, and 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).
16. T. A. Niemen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Calculation of the T-matrix: general considerations and application of the point-matching method," J. Quant. Spectrosc. Radiat. Transf. 79-80, 1019-1029 (2003).
17. D. W. Mackowski, "Discrete dipole moment method for computing the T matrix for nonspherical particles," J. Opt. Soc. Am. A 19, 881-893 (2002).
18. D. W. Mackowski and 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).
19. J. D. Dixon, "High speed computation of group characters," Numer. Math. 10, 446-450 (1965).
20. J. J. Cannon, "Computers in group theory: a survey," Commun. ACM 12, 3-11 (1969).
21. D. C. Harris and M. D. Bertolucci, Symmetry and Spectroscopy (Oxford U. Press, New York, 1978).
22. M. I. Mishchenko and L. D. Travis, "T-matrix computations of light scattering by large spheroidal particles," Opt. Commun. 109, 16-21 (1994).
23. S. Havemann and A. J. Baran, "Calculation of the phase matrix elements of elongated hexagonal ice columns using the T-matrix method," in Electromagnetic and Light Scattering - Theory and Applications VII, T. Wriedt, ed. (Universität Bremen, Bremen, Germany, 2003), pp. 107-110.
24. D. J. Wielaard, M. I. Mishchenko, A. Macke, and B. E. Carlson, "Improved T-matrix computations for large, nonabsorbing and weakly absorbing nonspherical particles and comparison with geometrical-optics approximation," Appl. Opt. 36, 4305-4313 (1997).
25. M. Hamermesh, Group Theory and Its Application to Physical Problems (Dover, New York, 1989).