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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 503–510

Field distribution inside one-dimensional random photonic lattices

Sergei A. Bulgakov and Manuel Nieto-Vesperinas  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 503-510 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000503


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Abstract

The electromagnetic field distribution inside a one-dimensional random photonic lattice has been studied by using the transfer matrix method. We have considered incident waves at frequencies both within and outside the photonic bandgap. It is shown that in the vicinity of a Bragg remnant frequency, a random photonic lattice manifests a local maximum of the field intensity ensemble average inside the structure. The width of this maximum is much larger than a unit cell of the lattice.

© 1998 Optical Society of America

OCIS Codes
(250.5300) Optoelectronics : Photonic integrated circuits
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: April 18, 1997
Revised Manuscript: September 25, 1997
Manuscript Accepted: August 21, 1997
Published: February 1, 1998

Citation
Sergei A. Bulgakov and Manuel Nieto-Vesperinas, "Field distribution inside one-dimensional random photonic lattices," J. Opt. Soc. Am. A 15, 503-510 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-503


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References

  1. J. B. Pendry, “Symmetry and transport of waves in 1-D disordered systems,” Adv. Phys. 43, 461–542 (1994). [CrossRef]
  2. C. M. Soukoulis, ed., Photonic Band Gaps and Localization Vol. 308 of NATO ASI series: Series B, Physics (Plenum, New York, 1993); M. Plihal, A. Shambrook, A. A. Maradudin, P. Sheng, “Two-dimensional photonic band structures,” Opt. Commun. 80, 199–204 (1991); K. M. Leung, Y. F. Lin, “Photon band structures: The plane-wave method,” Phys. Rev. B 41, 10188–10190 (1990). [CrossRef]
  3. J. B. Pendry, “Photonic band structures,” J. Mod. Opt. 41, 209 (1993); P. M. Bell, J. B. Pendry, L. Martı́n-Moreno, A. J. Ward, “A program for calculating photonic band structures and transmission coefficients of complex structures,” Comput. Phys. Commun.85, 306 (1995); J. B. Pendry, P. M. Bell, “Transfer matrix techniques for Electromagnetic Waves,” in Photonic Band Gap Materials, C. M. Soukoulis, ed., Vol. 315 of NATO ASI Series: Series E, Applied Sciences (Kluwer Academic, Dordrecht, The Netherlands, 1996), pp. 203–228. [CrossRef]
  4. V. Kuzmiak, A. A. Maradudin, F. Pincemin, “Photonic band structure of two-dimensional systems containing metallic components,” Phys. Rev. B 50, 16835–16844 (1994). [CrossRef]
  5. S. A. Bulgakov, M. Nieto-Vesperinas, “Competition of different scattering mechanisms in a one-dimensional random photonic lattice,” J. Opt. Soc. Am. A 13, 500–508 (1996). [CrossRef]
  6. H. G. Algul, M. Khazhinsky, A. R. McGurn, J. Kapenga, “Impurity modes from impurity clusters in photonic band structures,” J. Phys. Condens. Matter 7, 447–462 (1995). [CrossRef]
  7. K. M. Leung, “Defect modes in photonic band structures: a Green’s function approach using vector Wannier functions,” J. Opt. Soc. Am. B 10, 303–306 (1993). [CrossRef]
  8. D. Yeh, A. Yariv, C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977); P. Yeh, A. Yariv, “Bragg reflection waveguide,” Opt. Commun. 19, 427–430 (1976). [CrossRef]
  9. R. Dalichaouch, J. P. Armstrong, S. Schultz, P. M. Platzman, S. L. McCall, “Microwave localization by two-dimensional random scattering,” Nature (London) 354, 53–55 (1991);D. R. Smith, R. Dalichaouch, N. Kroll, S. Schultz, S. L. McCall, P. M. Platzman, “Photonic band structures and defects in one and two dimensions,” J. Opt. Soc. Am. B 10, 314–321 (1993); D. R. Smith, S. Schultz, S. L. McCall, P. M. Platzmann, “Defect studies in a two-dimensional periodic photonic lattice,” J. Mod. Opt. 41, 395–404 (1994). [CrossRef]
  10. A. R. McGurn, K. T. Christensen, F. M. Mueller, A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical system that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993). [CrossRef]
  11. S. A. Bulgakov, M. Nieto-Vesperinas, “Interaction of different scattering mechanisms in a one-dimensional random photonic lattice,” in Photonic Band Gap Materials, C. M. Soukoulis, ed., Vol. 315 of NATO ASI Series: Series E, Applied Sciences (Kluwer Academic, Dordrecht, The Netherlands, 1996), pp. 691–702; S. A. Bulgakov, M. Nieto-Vesperinas, “Frequency properties of random photonic lattices,” Waves Random Media 7, 183–192 (1997). [CrossRef]
  12. S. Datta, C. T. Chan, K. M. Ho, C. M. Soukoulis, E. N. Economou, “Photonic band gaps in periodic dielectric structures: Relation to the single-scatterer MIE resonances,” in Photonic Band Gaps and Localization, C. M. Soukoulis, ed., Vol. 308 of NATO ASI Series: Series B, Physics (Plenum, New York, 1993), pp. 289–297. [CrossRef]
  13. C. Martijn de Sterke, R. C. McPhedran, “Bragg remnants in stratified random media,” Phys. Rev. B 47, 7780–7787 (1993). [CrossRef]
  14. E. N. Economou, C. M. Soukoulis, M. H. Cohen, “Localization for correlated binary-alloy disorder,” Phys. Rev. B 37, 4399–4407 (1988). [CrossRef]
  15. P. Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic, New York, 1995).
  16. Nian-hua Liu, “Defect modes of stratified dielectric media,” Phys. Rev. B 55, 4097–4101 (1997). [CrossRef]
  17. Z. Daozhong, H. Wei, Z. Youlong, Z. Zhaolin, C. Bingying, Y. Guozhen, “Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum,” Phys. Rev. B 50, 9810–9814 (1994). [CrossRef]
  18. J. P. Desideri, D. Sornette, “Band edge localization and spatial textures of surface acoustic waves in weakly disordered 1-D superlattices,” Europhys. Lett. 23, 165–170 (1993). [CrossRef]

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