OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 4 — Feb. 14, 2011
  • pp: 3304–3315

An efficient iterative algorithm for computation of scattering from dielectric objects

Shaolin Liao, N. Gopalsami, A. Venugopal, A. Heifetz, and A. C. Raptis  »View Author Affiliations

Optics Express, Vol. 19, Issue 4, pp. 3304-3315 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (984 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have developed an efficient iterative algorithm for electromagnetic scattering of arbitrary but relatively smooth dielectric objects. The algorithm iteratively adapts the equivalent surface currents until the electromagnetic fields inside and outside the dielectric objects match the boundary conditions. Theoretical convergence is analyzed for two examples that solve scattering of plane waves incident upon air/dielectric slabs of semi-infinite and finite thicknesses. We applied the iterative algorithm for simulation of sinusoidally-perturbed dielectric slab on one side and the method converged for such unsmooth surfaces. We next simulated the shift in radiation pattern of a 6-inch dielectric lens for different offsets of the feed antenna on the focal plane. The result is compared to that of the Geometrical Optics (GO).

© 2011 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(290.0290) Scattering : Scattering

ToC Category:

Original Manuscript: November 22, 2010
Revised Manuscript: January 3, 2011
Manuscript Accepted: January 12, 2011
Published: February 4, 2011

Shaolin Liao, N. Gopalsami, A. Venugopal, A. Heifetz, and A. C. Raptis, "An efficient iterative algorithm for computation of scattering from dielectric objects," Opt. Express 19, 3304-3315 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd. ed. (Artech House, 2005).
  2. J. L. Volakis, L. C. Kempel, and A. Chatterjee, Finite ElementMethod Electromagnetics (IEEE Computer Society Press, 1998). [CrossRef]
  3. R. F. Harrington, Field Computation by Moment Methods (Wiley IEEE Press, 1993). [CrossRef]
  4. W. C. Chew, J. M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithm in Computational Electromagnetics (Artech House Publisher, 2001).
  5. C. M. Kelso, P. D. Flammer, J. A. DeSanto, and R. T. Collins, “Integral equations applied to wave propagation in two dimensions: modeling the tip of a near-field scanning optical microscope,” J. Opt. Soc. Am. A 18(8), 1993–2001 (2001). [CrossRef]
  6. Q. H. Liu, Y. Lin, J. Liu, J. H. Lee, and E. Simsek, “A 3-D spectral integral method (SIM) for surface integral equations,” IEEE Microw. Wirel. Compon. Lett. 19(2), 62–64 (2009). [CrossRef]
  7. M. Y. Xia, C. H. Chan, S. Q. Li, B. Zhang, and L. Tsang, “An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparse-matrix canonical-grid method,” IEEE Trans. Antenn. Propag. 51(6), 1142–1149 (2003). [CrossRef]
  8. X. An, and Z. Q. Lu, “An efficient finite element-boundary integral method solving electromagnetic scattering problems,” Microw. Opt. Technol. Lett. 51(9), 2065–2071 (2009). [CrossRef]
  9. N. Gopalsami, S. Liao, E. R. Koehl, T. W. Elmer, A. Heifetz, H.-T. Chien, and A. C. Raptis, “Passive millimeter wave imaging and spectroscopy system for terrestrial remote sensing,” Proc. SPIE 7670, 767003 (2010). [CrossRef]
  10. C. A. Balanis, Advanced Engineering Electromagnetics, (John Wiley & Sons, 1989).
  11. S. Liao, and R. J. Vernon, “A fast algorithm for computation of electromagnetic wave propagation in half-space,” IEEE Trans. Antenn. Propag. 57(7), 2068–2075 (2009). [CrossRef]
  12. S. B. Sorensen, and K. Pontoppidan, Lens analysis methods for quasioptical systems, in The 2nd European Conference on Antennas and Propagation (EuCAP 2007), Edinburgh, UK, 11–16 Nov. 2007.
  13. J. P. Thakur, W.-G. Kim, and Y.-H. Kim, “Large aperture low aberration aspheric dielectric lens antenna for W-band quasi-optics,” PIER 103, 57–65 (2010). [CrossRef]
  14. Z. X. Wang, and W. B. Dou, “Full-wave analysis of monopulse dielectric lens antennas atW-band,” Int. J. Infrared Millim. Waves 31, 151–161 (2010).
  15. A. V. Boriskin, G. Godi, R. Sauleau, and A. I. Nosich, “Small hemielliptic dielectric lens antenna analysis in 2-D: boundary integral equations versus geometrical and physical optics,” IEEE Trans. Antenn. Propag. 56, 485–492 (2008). [CrossRef]
  16. S. Liao, and R. J. Vernon, “On the image approximation for electromagnetic wave propagation and PEC scattering in cylindrical harmonics,” Prog. Electromagn. Res. 66, 65–88 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited