30
Views
1
CrossRef citations to date
0
Altmetric
Articles

Scattering by an Array of Rods using the Gaussian Beam Formalism Coupled to the Scattering Matrix Method

, &
Pages 1131-1145 | Published online: 03 Apr 2012

References

  • Joannopoulos , J. D. , Johnson , S. G. , Winn , J. N. and Meade , R. D. 2008 . Photonic Crystals: Molding the Flow of Light , 2nd , Princeton University Press .
  • Chigrin , D. N. , Enoch , S. , Torres , C. M. S. and Tayeb , G. 2003 . Self-guiding in two-dimensionnal photonic crystals . Optics Express , 11 ( No. 10 ) : 1203 – 1211 .
  • Cubukcu , E. , Aydin , K. , Ozbay , E. , Foteinopoulou , S. and Soukoulis , C. M. 2003 . Electromagnetic wave: Negative refraction by photonic crystals . Nature , 423 : 604 – 605 .
  • Luo , C. , Johnson , S. G. , Joannopoulos , J. D. and Pendry , J. B. 2002 . All-angle negative refraction without negative effective index . Phys. Rev. B , 65 201104(R
  • Pendry , J. B. 2000 . Negative refraction makes a perfect lens . Phys. Rev. Lett. , 85 : 3966 – 3969 .
  • Felback , D. , Tayeb , G. and Maystre , D. 1994 . Scattering by a random set of parallel cylinders . J. Opt. Soc. Am. A , 11 : 2526 – 2538 .
  • Yasumoto , K. 2005 . Electromagnetic Theory and Applications for Photonic Crystals , CRC Press .
  • Ohki , M. , Sakurai , H. , Horikoshi , J. and Kozaki , S. 1996 . Modeling of arbitrary cross-sectional cylinder using N circular cylinders for the scattering calculations . Int. J. of Infrared and Millimeter Waves , 17 ( No. 5 ) : 871 – 886 .
  • Ohki , M. , Sakurai , H. , Horikoshi , J. and Kozaki , S. 1996 . Electromagnetic beam wave scattering by arbitrary cross-sectional conducting cylinder using N circular cylindrical models . Int. J. of Infrared and Millimeter Waves , 17 ( No. 10 ) : 1707 – 1718 .
  • Yang , J. , Li , L. W. , Yasumoto , K. and Liang , C. H. 2005 . Two-dimensionnal scattering of a Gaussian beam by a periodic array of circular cylinders . IEEE Transactions on Geoscience and Remote Sensing , 43 ( No. 2 ) : 280 – 285 .
  • Chabory , A. , Sokoloff , J. and Bolioli , S. 2008 . Physically based expansion on conformal Gaussian beams for the radiation of curved aperture in dimension 2 . IET Microw. Antennas Propag. , 2 : 152 – 157 .
  • Chabory , A. , Sokoloff , J. and Bolioli , S. 2006 . Novel Gabor-based Gaussian beam expansion for curved aperture radiation in dimension two . Progress In Electromagnetics Research , 58 : 171 – 185 .
  • Chabory , A. , Sokoloff , J. , Bolioli , S. and Combes , P. F. 2005 . Electromagnetic computation of multilayer dielectric objects using Gaussian beam based techniques . C. R. Physique , 6 : 654 – 662 .
  • Chabory , A. 2004 . Modélisation électromagnétique des radômes par des techniques basées sur les faisceaux Gaussiens . Thèse de l´Université de Toulouse III ,
  • Kozaki , S. 1982 . A new expression for the scattering of a Gaussian beam by a conducting cylinder . IEEE Transactions on Antennas and Propagation , 30 ( No. 5 )
  • Abramovitz , M. and Stegun , I. 1970 . Handbook of Mathematical Functions , New York : Dover Publications .
  • Wu , Z. and Guo , L. 1998 . Electromagnetic scattering from a multilayered cylinder arbitrarily located in a Gaussian beam, a new recursive algorithm . Progress In Electromagnetics Research , 18 : 317 – 333 .
  • Zhang , Y. J. and Li , E. P. 2007 . Fast multipole accelerated scattering matrix method for multiple scattering of a large number of cylinders . Progress In Electromagnetics Research , 72 : 105 – 126 .
  • Pascal , O. , Lemaitre , F. and Soum , G. 1997 . Dielectric lens analysis using vectorial multimodal Gaussian beam expansion . Ann. Telecom. , 52 ( No. 9 ) : 519 – 528 .
  • Einziger , P. D. , Haramaty , Y. and Felsen , L. B. 1987 . Complex rays for radiation from discretized aperture distribution . IEEE Transactions on Antennas and Propagation , 35 ( No. 9 ) : 1031 – 1044 .
  • Lugara , D. , Letrou , C. , Shlivinski , A. , Heyman , E. and Boag , A. 2003 . Frame-based Gaussian beam summation method: Theory and applications . Radio Sci. , 38 ( No. 2 ) : 27.1 – 27.15 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.