Increasing the performance of the coupled-dipole approximation: A spectral approach

IEEE Transactions on Antennas and Propagation

Volumn 46, Issue 8, 1998, Pages 1126-1137

  Piller, Nicolas B ^a   Martin, Olivier J F ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Computation theory, convergence of numerical methods, diffraction, electromagnetic scattering, filtering, numerical analysis, propagation, sampling methods, signal processing

Indexed keywords

COUPLED-DIPOLE APPROXIMATION (CDA); FILTERED COUPLED-DIPOLE TECHNIQUE (FCD);

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC WAVE SCATTERING; SIGNAL PROCESSING; TENSORS;

APPROXIMATION THEORY;

EID: 0032141128     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.718567     Document Type: Article

References (35)

1. E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J., vol. 186, pp. 705-714, Dec. 1973.
2. B. T. Draine, "The discrete-dipole approximation and its applications to interstellar graphite grains," Astrophys. J., vol. 333, pp. 848-872, Oct. 1988.
3. G. H. Goedecke and S. O'Brien, "Scattering by irregular inhomogeneous particles via the digitized Green's function algorithm," Appl. Opt., vol. 27, no. 12, pp. 2431-2438, June 1988.
4. W. T. Doyle, "Optical properties of a suspension of metal spheres," Phys. Rev. B, vol. 39, no. 14, pp. 9852-9858, May 1989.
5. V. V. Varadan, A. Lakhtakia, and V. K. Varadan, "Scattering by threedimensional anisotropic scatterers," IEEE Trans. Antennas Propagat., vol. 37, pp. 800-802, June 1989.
6. A. Llakhtakia, "General theory of the Purcell-Pennypacker scattering approach and its extension to bianisotropic scatterers," Astrophys. J., vol. 394, pp. 494-499, Aug. 1992.
7. O. J. F. Martin, A. Dereux, and C. Girard, "An iterative scheme to compute exactly the total field propagating in dielectric structures of arbitrary shapes," J. Opt. Soc. Amer. A, vol. 11, pp. 1073-1080, 1994.
8. J. J. Goodman, B. T. Draine, and P. T. Flatau, "Application of the fastFourier-transformation techniques to the discrete-dipole approximation," Opt. Lett., vol. 16, no. 15, pp. 1198-1200, Aug. 1991.
9. B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Amer. A, vol. 11, no. 4, pp. 1491-1499, Apr. 1994.
10. M. Petravic and G. Kuo-Petravic, "An ILUCG algorithm which minimizes in the Euclidean norm," J. Comput. Phys., vol. 32, pp. 263-269, 1979.
11. A. Lakhtakia, "Strong and weak forms of the method of moments and the coupled dipole method for scattering of time-harmonic electromagnetic fields," Int. J. Mod. Phys. C, vol. 3, no. 3, pp. 583-603, Mar. 1992.
12. J. Rahola, "Solution of dense systems of linear equations in the discretedipole approximation," SIAM J. Sei. Comput., vol. 17, pp. 78-89, 1996.
13. W. C. Chew, C. C. Lu, and Y. M. Wand, "Efficient computation of three-dimentional scattering of vector electromangetic waves," J. Opt. Soc. Amer., vol. 11, no. 4, p. 1528, Apr. 1994.
14. A. D. Yaghjian, "Electric dyadic Green's functions in the source region," Proc. IEEE, vol. 68, pp. 248-263, Feb. 1980.
15. J. G. Fikioris, "Electromagnetic field inside a current-carrying region," J. Math. Phy., vol. 6, no. 11, p. 1617, Nov. 1965.
16. J. C. Ku, "Comparisons of coupled-dipole solutions and dipole refractive indices for light scattering and absorptions by arbitrarily shaped ar agglomerated particles," J. Opt. Soc. Amer., vol. 10, no. 2, pp. 336-342, Feb. 1993.
17. M. A. Taubenblatt and T. K. Tran, "Calculation of light scattering from particles and structures on a surface by the coupled-dipole method," J. Opt. Soc. Amer. A, vol. 10, no. 5, pp. 912-919, May 1993.
18. J. J. Spilker, "Theoretical bounds on the performance of sampled data communications systems," IRE Trans. Circuit Theory, vol. 7, pp. 335-341, Sept. 1960.
19. W. E. Brown, "Optimum prefiltering of sampled data," IRE Trans. Inform. Theory, vol. 7, pp. 269-270, Oct. 1961.
20. N. Mohanty, Signal Processing: Signals, Filtering and Detection. New York: Van Nostrand Reinhold, 1987, eh. 1.5.
21. B. M. Oliver, J. R. Pierce, and C. E. Shannon, "The philosophy of PCM," Proc. IRE, vol. 36, no. 234, pp. 1324-1331, Nov. 1948.
22. C. E. Shannon, "Communication in the presence of noise," Proc. IRE, vol. 37, pp. 10-21, Jan. 1949
23. D. P. Petersen and D. Middleton, "Sampling and reconstruction of wave-number-limited functions in n-dimensional Euclidean spaces," Inform. Contr., vol. 5, pp. 279-322, 1962.
24. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics. Paris, France: Hermann, 1977.
25. C. Hafner and L. Bomholt, The 3D Electromagnetic Wave Simulator. Chichester, U.K.: Wiley, 1993.
26. I. N. Vekua, "New methods for solving elliptic equations," in Applied Mathematics and Mechanics. Amsterdam, The Netherlands: North-Holland, 1967, vol. 1.
27. B. Moon and D. E. Spencer, Field Theory Handbook, 2nd ed. Berlin, Germany: Springer-Verlag, 1971.
28. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
29. H. Gan and W. C. Chew, "A discrete BCCG-FFT algorithm for solving 3-D inhomogeneous scatterer problems," J. Electromagn. Waves Applicat., vol. 9, no. 10, p. 1339, 1995.
30. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles. New York: IEEE Press, 1980.
31. P. J. Flatau, T. Schneider, and F. Evans, CCGPAK. Institution of Oceanography [Online]. University of California. Available www: http://atol.ucsd.edu/~pflatau/scatlib/conjugate.html
32. The Numerical Algorithms Group. Oxford, U.K.: NAG Ltd. Available www: http://www.nag.co.uk
33. C.-T. Tai, Dyadic Green Functions in Electromagnetic Theory, 2nd ed. New York: IEEE Press, 1993.
34. J. Van Kranendonk and J. E. Sipe, "Foundations of the macroscopic electromagnetic theory of dielectric media," in Progress in Optics. Amsterdam, The Netherlands: North-Holland, 1977, vol. 15, ch. 5, pp. 245-350.
35. R. N. Barcewell, The Fourier Transform and Its Applications, 2nd ed. New York: McGraw-Hill, 1978.