The T-matrix revisited

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

Volumn 24, Issue 8, 2007, Pages 2257-2267

  Waterman, P C ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; INTEGRATION; MATRIX ALGEBRA; RAYLEIGH SCATTERING; WAVE FUNCTIONS;

MATRIX INVERSION; RAYLEIGH LIMIT;

LIGHT SCATTERING;

EID: 38849117018     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.24.002257     Document Type: Article

References (22)

1. V. K. Varadan and V. V. Varadan, eds., Acoustic, Electromagnetic, and Elastic Wave Scattering (Pergamon, 1980).
2. P. C. Waterman, "New formulation of acoustic scattering," J. Acoust. Soc. Am. 45, 1417-1429 (1969).
3. R. L. Weaver and Y.-H. Pao, "Application of the transition matrix to a ribbon-shaped scatterer," J. Acoust. Soc. Am. 66, 1199-1206 (1979).
4. G. Kristensson and P. C. Waterman, "The T-matrix for acoustic and electromagnetic scattering by circular disks," J. Acoust. Soc. Am. 72, 1612-1625 (1982).
5. J. Björkberg and G. Kristensson, "Electromagnetic scattering by a perfectly conducting elliptic disk," Can. J. Phys. 65, 723-734 (1987).
6. S. Ström, "T matrix for electromagnetic scattering from an arbitrary number of scatterers with continuously varying electromagnetic properties," Phys. Rev. D 10, 2685-2690 (1974).
7. S. Ström and W. Zheng, "The null field approach to electromagnetic scattering from composite objects," IEEE Trans. Antennas Propag. 36, 376-382 (1988).
8. J. B. Schneider and I. C. Peden, "Differential cross section of a dielectric ellipsoid by the T-matrix extended boundary condition method" IEEE Trans. Antennas Propag. 36, 1317-1321 (1988).
9. M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, "T-matrix computations of light scattering by nonspherical particles: a review," J. Quant. Spectrosc. Radiat. Transf. 55, 535-575 (1996).
10. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002), Chap. 5.
11. V. V. Varadan, A. Lakhtakia, and V. K. Varadan, "Comments on recent criticism of the T-matrix method," J. Acoust. Soc. Am. 84, 2280-2284 (1988).
12. M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, "T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database," J. Quant. Spectrosc. Radiat. Transf. 88, 357-406 (2004).
13. M. I. Mishchenko and L. D. Travis, "T-matrix computations of light scattering by large spheroidal particles," Opt. Commun. 109, 16-21 (1994).
14. S. Havemann and A. J. Baran, "Calculation of the phase matrix elements of elongated hexagonal ice columns using the T-matrix method," J. Quant. Spectrose. Radiat. Transf. 89, 87-96 (2004).
15. A. Sarkissian, C. F. Gaumond, and L. R. Dragonette, "T-matrix implementation of forward scattering from rigid structures," J. Acoust. Soc. Am. 94, 3448-3453 (1993).
16. P. C. Waterman, "Surface fields and the T-matrix," J. Opt. Soc. Am. A 16, 2968-2977 (1999).
17. P. C. Waterman, "Symmetry, unitarity, and geometry in electromagnetic scattering," Phys. Rev. D 4, 825-839 (1971).
18. P. C. Waterman, "Matrix methods in potential theory and electromagnetic scattering," J. Appl. Phys. 50, 4550-4566 (1979).
19. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953), p. 1372.
20. A. S. Householder, The Theory of Matrices in Numerical Analysis (Blaisdell, 1964), p. 54.
21. F. W. J. Olver, "Bessel functions of integer order," in Handbook of Mathematical Functions, M. Abramowitz and I. A. Stegun, eds., (U. S. Government Printing Offices, 1964) pp. 355-433.
22. G. N. Watson, Theory of Bessel Functions, 2nd ed. (Cambridge U. Press, 1962), pp. 145-150.