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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 21, Iss. 2 — Feb. 1, 2004
  • pp: 405–412

Band-structure properties of one-dimensional photonic crystals under the formalism of equivalent systems

Jorge A. Gaspar-Armenta and Francisco Villa  »View Author Affiliations

JOSA B, Vol. 21, Issue 2, pp. 405-412 (2004)

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Some general properties of one-dimensional photonic crystals are analyzed by using symmetric periodic multilayers. In this way a one-dimensional photonic crystal can be considered a single thin film with an equivalent optical admittance and an equivalent phase thickness. These functions provide important information about the optical properties of the photonic crystal, such as the band structure and the characteristic points, where the bandgaps narrow and close, including Brewster points, which are all determined by analytic expressions. With this formalism it is also possible to study in a simple way different kinds of surface modes that can be present at the interface between photonic crystal and bulk material.

© 2004 Optical Society of America

OCIS Codes
(160.4760) Materials : Optical properties
(240.0240) Optics at surfaces : Optics at surfaces
(240.0310) Optics at surfaces : Thin films
(240.6680) Optics at surfaces : Surface plasmons
(240.6690) Optics at surfaces : Surface waves
(310.0310) Thin films : Thin films

Jorge A. Gaspar-Armenta and Francisco Villa, "Band-structure properties of one-dimensional photonic crystals under the formalism of equivalent systems," J. Opt. Soc. Am. B 21, 405-412 (2004)

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
  2. S. Johnson and J. D. Joannopoulos, Photonic Crystals: The Road from Theory to Practice (Kluwer Academic Boston, 2002).
  3. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Heidelberg, 2001).
  4. F. Ramos-Mendieta and P. Halevi, “Electromagnetic surface modes of a dielectric superlattice: the supercell method,” J. Opt. Soc. Am. B 14, 370–381 (1997). [CrossRef]
  5. J. A. Gaspar-Armenta, F. Villa, and T. López-Ríos, “Surface waves in finite one-dimensional photonic crystals: mode coupling,” Opt. Commun. 216, 379–394 (2003). [CrossRef]
  6. F. Villa, L. E. Regalado, F. Ramos-Mendieta, J. Gaspar-Armenta, and T. López-Ríos, “Photonic crystal sensor based on surface waves for thin film characterization,” Opt. Lett. 27, 646–648 (2002). [CrossRef]
  7. F. Villa, J. A. Gaspar-Armenta, and F. Ramos-Mendieta, “One-dimensional photonic crystals: equivalent systems to single layers with a classical oscillator like dielectric function,” Opt. Commun. 216, 361–367 (2003). [CrossRef]
  8. Pochi Yeh, Amnon Yariv, and Chi-Shian Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977). [CrossRef]
  9. Pochi Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  10. W. M. Robertson and M. S. May, “Surface electromagnetic wave excitation on one-dimensional photonic band-gap arrays,” Appl. Phys. Lett. 74, 1800–1802 (1999). [CrossRef]
  11. W. M. Robertson, “Experimental measurement of the effect of termination on surface electromagnetic waves in one-dimensional photonic bandgap arrays,” J. Lightwave Technol. 17, 2013–2017 (1999). [CrossRef]
  12. F. Ramos-Mendieta and P. Halevi, “Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane,” Phys. Rev. B 59, 15112–15120 (1999). [CrossRef]
  13. Xianmin Yi, Pochi Yeh, and J. Hong, “Nonexistence of well-confined surface waves on obliquely cut surfaces of one-dimensional photonic crystals,” J. Opt. Soc. Am. B 18, 352–357 (2001). [CrossRef]
  14. H. Raether, Excitation of Plasmons and Interband Transitions by Electrons, G. Höhler, ed., Vol. 88 of Springer Tracts in Modern Physics (Springer, Berlin, 1980).
  15. H. A. Macleod, Thin Film Optical Filters (McGraw-Hill, New York, 1989).
  16. C. J. Van der Laan and H. J. Franquena, “Equivalent layers: another way to look at them,” Appl. Opt. 34, 681–687 (1995). [CrossRef] [PubMed]

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