Computational analysis and diagonal preconditioning for the discrete dipole approximation on surface

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 110, Issue 1-2, 2009, Pages 51-61

  Bae, Euiwon ^a   Hirleman, E Daniel ^a  

^a Purdue University   (United States)

Author keywords

Discrete dipole approximation; Preconditioning; Scattering

Indexed keywords

COMPUTATIONAL METHODS; LIGHT REFRACTION; OPTICAL PROPERTIES; POLYNOMIAL APPROXIMATION; REFRACTIVE INDEX; REFRACTOMETERS; SEMICONDUCTING SILICON; SEMICONDUCTING SILICON COMPOUNDS; SILICON;

COMPUTATIONAL ANALYSES; CONVERGENCE CHARACTERISTICS; DIAGONAL ELEMENTS; DIPOLE POLARIZABILITY; DISCRETE DIPOLE APPROXIMATION; DISCRETE DIPOLE APPROXIMATIONS; FREE SPACES; INCIDENT ANGLES; INTERACTION MATRIXES; ITERATIVE SOLVERS; LOW REFRACTIVE INDICES; PHYSICAL PARAMETERS; PRECONDITIONING; PRECONDITIONING TECHNIQUES; SEMI-CONDUCTORS; SPECTRAL CHARACTERISTICS; TOTAL COMPUTATION TIMES;

ORGANIC POLYMERS;

DISCRETE ELEMENT METHOD; MATRIX; NUMERICAL METHOD; POLARIZATION; SCATTERING;

EID: 56949096204     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2008.10.001     Document Type: Article

References (21)

1. Schmehl R., Nebeker B.M., and Hirleman E.D. Discrete-dipole approximation for scattering by features on surface by means of a two-dimensional fast Fourier transform technique. J Opt Soc of Am A 14 (1997) 3026-3036
2. Purcell E.M., and Pennypacker C.R. Scattering and absorption of light by nonspherical dielectric grains. Astrophys J 186 (1973) 705-714
3. Draine B.T., and Goodman J. Beyond Clausius-Mossotti: wave propagation on a polarizable point Lattice and the discrete dipole approximation. Astrophys J 405 (1993) 685-697
4. Draine B.T., and Flatau P.J. Discrete-dipole approximation for scattering calculations. J Opt Soc Am A 11 (1994) 1491-1499
5. Nebeker BM. Modeling of light scattering from features above and below surfaces using the discrete-dipole approximation. PhD thesis, Arizona State University, USA, 1998.
6. Nebeker B.M., Buckner B., Hirleman E.D., Lathrop A., and Bhunia A.K. Identification and characterization of bacteria on surfaces using light scattering. Proc SPIE 4026 (2001) 224-234
7. Bae E., and Hirleman E.D. Extending the applicability of the discrete dipole approximation for multi-scale features on surface. JQSRT 107 (2007) 470-478
8. Rahola J. On the eigenvalues of the volume integral operator of electromagnetic scattering. SIAM J Sci Comput 21 (2000) 1740-1754
9. Budko N.V., and Samokhin A.B. Spectrum of the volume integral operator of electromagnetic scattering. SIAM J Sci Comput 28 (2006) 682-700
10. Flatau P. Improvements in the discrete-dipole approximation method of computing scattering and absorption. Opt Express 22 (1997) 1205-1207
11. Fan Z.H., Wang D.X., Chen R.S., and Yung E.K.N. The application of iterative solvers in discrete dipole approximation method for computing electromagnetic scattering. Micro Opt Techn Let 48 (2006) 1741-1746
12. Nebeker B.M., Starr G.W., and Hirleman E.D. Evaluation of iteration methods used when modeling scattering from features on surfaces using the discrete-dipole approximation. JQSRT 60 (1998) 493-500
13. Saad Y. Iterative methods for sparse linear systems. Soc Ind Appl Math (2000)
14. Kolotilina L.Y. Explicit preconditioning of systems of linear algebraic equations. J Soviet Math 43 (1988) 2566-2573
15. Carpentieri B, Duff IS, Giraud L. Magolu monga Made M, CERFACS Technical Report TR/PA/01/35.
16. Lewis D.W. Matrix theory (1991), World Scientific, Singapore
17. Golub G.H., and Van Loan C.F. Matrix computation (1996), Johns Hopkins University Press, Baltimore, MD
18. Golub G., and Ortega J.M. Scientific computing: an introduction with parallel computing (1993), Academic Press, New York
19. Kim H.J., Kim H.S., Choi K., Lee H.B., Jung H.K., and Hahn S.Y. Cost-effective parallel preconditioner for network-based computing. IEEE Trans Mag 33 (1997) 1800-1803
20. Freund R.W., and Nachtigal N.M. An implementation of the QMR method based on coupled two-term recurrences. SIAM J Sci Stat Comput 15 (1994) 313-337
21. Chen F.C. A preconditioned quasi-minimal residual method for electrically large random surface scattering of remote sensing. Int J Remote Sens 20 (1999) 2627-2636