Fast numerical method for electromagnetic scattering by rough layered interfaces: Propagation-inside-layer expansion method

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

Volumn 23, Issue 2, 2006, Pages 359-369

  Déchamps, Nicolas ^a   de Beaucoudrey, Nicole ^a   Bourlier, Christophe ^a   Toutain, Serge ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIELECTRIC MATERIALS; ELECTROMAGNETIC WAVE TRANSMISSION; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); METHOD OF MOMENTS; PROBLEM SOLVING; SURFACE ROUGHNESS;

HOMOGENEOUS MEDIA; PROPAGATION-INSIDE-LAYER EXPANSION (PILE) METHOD;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 33644510758     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.000359     Document Type: Article

References (42)

1. C. Amra, G. Albrand, and P. Roche, "Theory and application of antiscattering single layers: antiscattering antireflection coatings," Appl. Opt. 16, 2695-2702 (1986).
2. G. V. Rozhnov, "Electromagnetic wave diffraction by multilayer media with rough interface," Sov. Phys. JETP 69, 646-651 (1989).
3. C. Amra, "Light scattering from multilayer optics. I. Tools of investigation," J. Opt. Soc. Am. A 11, 197-210 (1994).
4. C. Amra, "Light scattering from multilayer optics. II. Application to experiment," J. Opt. Soc. Am. A 11, 211-226 (1994).
5. I. Ohlidal and K. Navratil, "Scattering of light from multilayer systems with rough boundaries," Prog. Opt. 34, 251-334 (1995).
6. H. Kaplan, "Black coatings are critical in optical design," Photonics Spectra 31, 48-50 (1997).
7. R. Garcia-Llamas, L. E. Regalado, and C. Amra, "Scattering of light from a two-layer system with a rough surface," J. Opt. Soc. Am. A 16, 2713-2719 (1999).
8. I. M. Fuks and A. G. Voronovich, "Wave diffraction by rough interfaces in an arbitrary plane-layered medium," Waves Random Media 10, 253-272 (2000).
9. I. M. Fuks, "Wave diffraction by a rough boundary of an arbitrary plane-layered media," IEEE Trans. Antennas Propag. 49, 630-639 (2001).
10. Z. Otremba and J. Piskozub, "Modelling of the optical contrast of an oil film on a sea surface," Opt. Express 9, 411-416 (2001).
11. D. Goodman and Conyers, Ground Penetrating Radar, An Introduction for Archaeologists (Altamira, 1997).
12. T. M. Elfouhaily and C.-A. Guérin, "A critical survey of approximate scattering wave theories from random rough surfaces," Waves Random Media 14, R1-R40 (2004).
13. M. Saillard and A. Sentenac, "Rigorous solution for electromagnetic scattering from rough surfaces," Waves Random Media 11, R103-R137 (2001).
14. K. F. Warnick and W. C. Chew, "Numerical simulation methods for rough surface scattering: topical review," Waves Random Media 11, R1-R30 (2001).
15. F. Harrington, Field Computation by Moment Methods (IEEE Press, 1993).
16. L. Tsang, J. A. Kong, K.-H. Ding, and C. O. Ao, Scattering of Electromagnetics Waves: Numerical Simulations (Wiley, 2001).
17. J. Q. Lu, A. A. Maradudin, and T. Michel, "Enhanced backscattering from a rough dielectric film on a reflecting substrate," J. Opt. Soc. Am. B 8, 311-318 (1991).
18. V. Freilikher, E. Kanzieper, and A. A. Maradudin, "Coherent scattering enhancement in systems bounded by rough surfaces," Phys. Rep. 288, 127-204 (1997).
19. N. Déchamps, "Numerical methods for electromagnetic wave scattering from one-dimensional rough surfaces," Ph.D. thesis (IREENA, Polytech'Nantes, Université de Nantes, 2004).
20. C. S. West and K. A. O'Donnell, "Observations of backscattering enhancement from polaritons on a rough metal surface," J. Opt. Soc. Am. A 12, 390-397 (1995).
21. E. I. Thorsos, "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am. 83, 78-92 (1988).
22. M. Saillard and G. Toso, "Electromagnetic scattering from bounded or infinite subsurface bodies," Radio Sci. 32, 1347-1359 (1997).
23. L. Tsang, C. H. Chan, K. Pak, and H. Sangani, "Monte-Carlo simulations of large-scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method," IEEE Trans. Antennas Propag. 43, 851-859 (1995).
24. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2nd ed. (Cambridge U. Press, 1992).
25. D. Holliday, L. L. DeRaad, Jr., and G. J. St-Cyr, "Forward-backward: a new method for computing low-grazing angle scattering," IEEE Trans. Antennas Propag. 44, 722-729 (1996).
26. D. Holliday, L. L. DeRaad, Jr., and G. J. St-Cyr, "Forward-backward method for scattering from imperfect conductors," IEEE Trans. Antennas Propag. 46, 101-107 (1998).
27. H. T. Chou and J. T. Johnson, "A novel acceleration of scattering from rough surfaces with the forward-backward method," Radio Sci. 33, 1277-1287 (1998).
28. A. Iodice, "Forward-backward method for scattering from dielectric rough surfaces," IEEE Trans. Antennas Propag. 50, 901-911 (2002).
29. D. A. Kapp and G. S. Brown, "A new numerical method for rough-surface scattering calculations," IEEE Trans. Antennas Propag. 44, 711-722 (1996).
30. L. Tsang, C. H. Chang, and H. Sangani, "A banded matrix iterative approach to Monte Carlo simulations of scattering of waves by large-scale random rough surface problems: TM case," Electron. Lett. 29, 166-167 (1993).
31. Q. Li, C. H. Chan, and L. Tsang, "Monte-Carlo simulations of wave scattering from lossy dielectric random rough surfaces using the physics-based two-grid method and the canonical-grid method," IEEE Trans. Antennas Propag. 47, 752-763 (1999).
32. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys. 36, 414-439 (1990).
33. N. Engheta, W. D. Murphy, V. Rokhlin, and M. S. Vassiliou, "The fast multipole method (FMM) for electromagnetic scattering problems," IEEE Trans. Antennas Propag. 40, 7-12 (1992).
34. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: a pedestrian description," IEEE Trans. Antennas Propag. 35, 634-641 (1993).
35. D. J. Donohue, H.-C. Ku, and D. R. Thompson, "Application of iterative moment-method solutions to ocean surfaces radar scattering," IEEE Trans. Antennas Propag. 46, 121-132 (1998).
36. J. A. Sánchez-Gil, A. A. Maradudin, J. Q. Lu, V. D. Freilikher, M. Pustilnik, and I. Yurkevich, "Scattering of electromagnetic waves from a bounded medium with random surface," Phys. Rev. B 50, 15353-15368 (1994).
37. A. Madrazo and A. A. Maradudin, "Numerical solutions of the reduced Rayleigh equation for the scattering of electromagnetic waves from rough dielectric films on perfectly conducting substrates," Opt. Commun. 134, 251-263 (1997).
38. Y. Saad, Iterative Methods for Sparse Linear Systems (PWS Publishing, 1996), Chap. 10.
39. I. Simonsen and A. A. Maradudin, "Numerical simulation of electromagnetic wave scattering from planar dielectric films deposited on rough perfectly conducting substrates," Opt. Commun. 162, 99-111 (1999).
40. M. Saillard and D. Maystre, "Scattering from metallic and dielectric rough surfaces," J. Opt. Soc. Am. A 7, 982-990 (1990).
41. M. Saillard and D. Maystre, "Scattering from random rough surfaces: a beam simulation method," J. Opt. (Paris)19, 173-176 (1988).
42. X. Wang, C.-F. Wang, Y.-B. Gan, and L.-W. Li, "Electromagnetic scattering from a circular target above or below rough surface," Electromagn. Waves 40, 207-227 (2003).