OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 4 — Apr. 1, 2010
  • pp: 815–826

Electromagnetic scattering from multiple sub-wavelength apertures in metallic screens using the surface integral equation method

Babak Alavikia and Omar M. Ramahi  »View Author Affiliations


JOSA A, Vol. 27, Issue 4, pp. 815-826 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000815


View Full Text Article

Enhanced HTML    Acrobat PDF (1053 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This work presents a novel finite-element solution to the problem of scattering from multiple two-dimensional holes with side grating in infinite metallic walls. The formulation is based on using the surface integral equation with free-space Green’s function as the boundary constraint. The solution region is divided into interior regions containing each hole or cavity as a side grating and exterior region. The finite-element formulation is applied inside the interior regions to derive a linear system of equations associated with nodal field values. The surface integral equation is then applied at the opening of the holes as a boundary constraint to connect nodes on the boundaries to interior nodes. The technique presented here is highly efficient in terms of computing resources, versatile and accurate in comparison with previously published methods. The near and far fields are generated for different single and multiple hole examples.

© 2010 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(290.0290) Scattering : Scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: October 29, 2009
Revised Manuscript: February 1, 2010
Manuscript Accepted: February 2, 2010
Published: March 24, 2010

Citation
Babak Alavikia and Omar M. Ramahi, "Electromagnetic scattering from multiple sub-wavelength apertures in metallic screens using the surface integral equation method," J. Opt. Soc. Am. A 27, 815-826 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-4-815


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667-669 (1998). [CrossRef]
  2. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820-823 (2002). [CrossRef] [PubMed]
  3. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, 1988).
  4. D. T. Auckland and R. F. Harrington, “Electromagnetic transmission through a filled slit in a conducting plane of finite thickness, TE case,” IEEE Trans. Microwave Theory Tech. 26, 499-505 (1978). [CrossRef]
  5. S. H. Kang, H. J. Eom, and T. J. Park, “TM-scattering from a slit in a thick conducting screen: Revisited,” IEEE Trans. Microwave Theory Tech. 41, 895-899 (1993). [CrossRef]
  6. T. J. Park, S. H. Kang, and H. J. Eom, “TE scattering from a slit in a thick conducting screen: Revisited,” IEEE Trans. Antennas Propag. 42, 112-114 (1994). [CrossRef]
  7. H. J. Eom, “Slit array antenna,” in Electromagnetic Wave Theory for Boundary-Value Problems (Springer, 2004), pp. 251-257.
  8. J. M. Jin and J. L. Volakis, “TM scattering by an inhomogeneously filled aperture in a thick conducting plane,” in IEE Proc., Part H: Microwaves, Antennas Propag. 137, 153-159 (1990). [CrossRef]
  9. J. M. Jin and J. L. Volakis, “TE scattering by an inhomogeneously filled thick conducting plane,” IEEE Trans. Antennas Propag. 38, 1280-1286 (1990). [CrossRef]
  10. O. M. Ramahi and R. Mittra, “Finite element solution for a class of unbounded geometries,” IEEE Trans. Antennas Propag. 39, 244-250 (1991). [CrossRef]
  11. B. Alavikia and O. M. Ramahi, “Finite-element solution of the problem of scattering from cavities in metallic screens using the surface integral equation as a boundary constraint,” J. Opt. Soc. Am. A 26, 1915-1925 (2009). [CrossRef]
  12. Ansoft HFSS Version 10.1., Ansoft Corporation, http://www.ansoft.com.

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