OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 27, Iss. 22 — Nov. 15, 2009
  • pp: 5151–5159

Analysis of Highly Conducting Lamellar Gratings With Multidomain Pseudospectral Method

Yih-Peng Chiou, Wen-Lan Yeh, and Nai-Yuan Shih

Journal of Lightwave Technology, Vol. 27, Issue 22, pp. 5151-5159 (2009)


View Full Text Article

Acrobat PDF (796 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

In thisPlease provide the IEEE membership details (membership grades and years in which these obtained), if any, for W.-L. Yeh and N.-Y. Shih. paper, multidomain pseudospectral (MDPS) method is adopted to analyze the diffraction of electromagnetic waves by the metallic lamellar grating. This method is based on applying a spectral accuracy at the Chebyshev collocation points to the spatial derivatives in Helmholtz equation, and then dividing the computational domain into nonoverlapping subdomains. Finally, the physical boundary conditions at the subdomain interfaces enforce the subdomains to a global system. The numerical examples for 1-D binary gratings composed of different highly conducting materials are presented. The validity of results by MDPS is compared with commonly used rigorous coupled wave analysis for TM polarization. The numerical evidence shows that the developed method has better stability and higher efficiency.

© 2009 IEEE

Citation
Yih-Peng Chiou, Wen-Lan Yeh, and Nai-Yuan Shih, "Analysis of Highly Conducting Lamellar Gratings With Multidomain Pseudospectral Method," J. Lightwave Technol. 27, 5151-5159 (2009)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-27-22-5151


Sort:  Year  |  Journal  |  Reset

References

  1. D. Rosenblatt, A. Sharon, A. A. Friesem, "Resonant grating waveguide structures," IEEE J. Quantum Electron. 33, 2038-2059 (1997).
  2. A. Mandatori, M. Bertolotti, C. Sibilia, "Asymmetric transmission of some two dimensional photonic crystals," J. Opt. Soc. Amer. B, Opt. Phys. 24, 685-690 (2007).
  3. F. Deng, C. Du, X. Luo, "Characteristic analysis of evanescent wave moire fringes," J. Opt. Soc. Amer. B, Opt. Phys. 25, 443-447 (2008).
  4. S. Kameda, Y. Ohta, H. Kikuta, "Refraction and diffraction by a metal-dielectric multilayered structure," J. Opt. Soc. Amer. A, Opt. Image Sci. 25, 903-910 (2008).
  5. S. Banerjee, T. Hoshino, J. B. Cole, "Simulation of subwavelength metallic gratings using a new implementation of the recursive convolution finite-difference timedomain algorithm," J. Opt. Soc. Amer. A, Opt. Image Sci. 25, 1921-1928 (2008).
  6. S. D. Gedney, R. Mittra, "Analysis of the electromagnetic scattering by thick gratings using a combined FEM/MM solution," IEEE Trans. Antennas Propag. 39, 1605-1614 (1991).
  7. L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, J. R. Andrewartha, "The dielectric lamellar diffraction grating," Opt. Acta 28, 413-428 (1981).
  8. S. Peng, G. M. Morris, "Efficient implementation of rigorous coupled-wave analysis for surface-relief gratings," J. Opt. Soc. Amer. A, Opt. Image Sci. 12, 1087-1096 (1995).
  9. J. P. Boyd, Chebyshev and Fourier Spectral Methods (Springer-Verlag, 2001).
  10. D. Gottlieb, S. A. Orszag, "Numerical analysis of spectral methods: Theory and Applications," CBMS-NSF Regional Conf. Series Appl. Math., SIAM PhiladelphiaPA (1977).
  11. M. G. Moharam, T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Amer. 71, 811-818 (1981).
  12. M. G. Moharam, T. K. Gaylord, "Rigorous coupled-wave analysis of grating diffraction: E-mode polarization and losses," J. Opt. Soc. Amer. 73, 451-455 (1983).
  13. M. G. Moharam, T. K. Gaylord, "Three-dimensional vector coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Amer. 73, 1105-1112 (1983).
  14. L. Li, C. W. Haggans, "Convergence of the coupled-wave method for metallic lamellar diffraction gratings," J. Opt. Soc. Amer. A, Opt. Image Sci. 10, 1184-1189 (1993).
  15. P. Lalanne, G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Amer. A, Opt. Image Sci. 13, 779-784 (1996).
  16. E. Popov, M. Neviere, "Differential theory for diffraction gratings: A new formulation for TM polarization with rapid convergence," Opt. Lett. 25, 598-600 (2000).
  17. E. Popov, B. Chernov, M. Neviere, N. Bonod, "Differential theory: Application to highly conducting gratings," J. Opt. Soc. Amer. A, Opt. Image Sci. 21, 199-206 (2004).
  18. K. Watanabe, "Study of the differential theory of lamellar gratings made of highly conducting materials," J. Opt. Soc. Amer. A, Opt. Image Sci. 23, 69-72 (2006).
  19. N. M. Lyndin, O. Parriaux, A. V. Tishchenko, "Modal analysis and suppression of the Fourier modal method instabilities in highly conductive gratings," J. Opt. Soc. Amer. A, Opt. Image Sci. 24, 3781-3787 (2007).
  20. A. V. Tishchenko, "Phenomenological representation of deep and high contrast lamellar gratings by means of the modal method," Opt. Quantum Eletron. 37, 309-330 (2005).
  21. M. Foresti, L. Menez, A. V. Tishchenko, "Modal method in deep metal-dielectric gratings: The decisive role of hidden modes," J. Opt. Soc. Amer. A, Opt. Image Sci. 23, 2501-2509 (2006).
  22. Y. Todorov, C. Minot, "Modal method for conical diffraction on a rectangular slit metallic grating in a multilayer structure," J. Opt. Soc. Amer. A, Opt. Image Sci. 24, 1084-7529 (2007).
  23. Q. H. Liu, "A pseudospectral frequency-domain (PSFD) method for computational electromagnetics," IEEE Antennas Wireless Propag. Lett. 1, 131-134 (2002).
  24. L. N. Trefethen, Spectral Methods in Matlab (SIAM, 2000).
  25. T. J. Rivlin, The Chebyshev Polynomials (Wiley, 1974).
  26. J. Y. Wang, C. C. Yang, Y. W. Kiang, "Numerical study on surface plasmon polariton behaviors in periodic metal-dieletric structures using a plane-wave-assisted boundary integral-equation method," Opt. Exp. 15, 9048-9062 (2007).
  27. Y.-P. Chiou, Y.-C. Chiang, C.-H. Lai, C.-H. Du, H.-C. Chang, "Finite-difference modeling of dielectric waveguides with sharp corners and slanted facets," IEEE/OSA J. Lightw. Technol. 27, 2077-2086 (2009).

Cited By

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