OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2542–2552

Localization of light in a random-grating array in a single-mode fiber

Ofer Shapira and Baruch Fischer  »View Author Affiliations


JOSA B, Vol. 22, Issue 12, pp. 2542-2552 (2005)
http://dx.doi.org/10.1364/JOSAB.22.002542


View Full Text Article

Acrobat PDF (850 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We investigate light propagation in randomly spaced fiber gratings in a single-mode fiber and demonstrate the localization effect. Localization of light in random media resembles that of electrons in disordered solids, resulting from a subtle wave-interference formation. We measured the light transmission after each additional grating fabrication and found an exponential decay that follows the localization theory. Important features of the random array are its similarity to ordered gratings in the transmission and its reflection behavior at the long-array regime. Besides the basic interest in localization in one-dimensional systems, random-grating arrays have potential applications, utilizing the possibility of the fabrication of long structures with strong and broadband reflections.

© 2005 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.6600) Coherence and statistical optics : Statistical optics
(050.0050) Diffraction and gratings : Diffraction and gratings
(060.2310) Fiber optics and optical communications : Fiber optics
(290.4210) Scattering : Multiple scattering
(350.5500) Other areas of optics : Propagation

ToC Category:
Fiber Optics and Optical Communications

Citation
Ofer Shapira and Baruch Fischer, "Localization of light in a random-grating array in a single-mode fiber," J. Opt. Soc. Am. B 22, 2542-2552 (2005)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-12-2542


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 109, 1492-1505 (1958). [CrossRef]
  2. A. P. A. Lee and T. V. Ramakrishnan, "Disordered electronic systems," Rev. Mod. Phys. 57, 287-337 (1985). [CrossRef]
  3. J. B. Pendry, "Symmetry and transport of waves in one-dimensional disordered systems," Adv. Phys. 43, 461-542 (1994).
  4. M. V. Berry and S. Klein, "Transparent mirrors: rays, waves, and localization," Eur. J. Phys. 18, 222-228 (1997).
  5. N. Garcia and A. Z. Genack, "Anomalous photon diffusion at the threshold of the Anderson localization transition," Phys. Rev. Lett. 66, 1850-1853 (1991).
  6. D. Z. Zhang, Z. L. Li, W. Hu, and B. Y. Cheng, "Broad-band optical reflector--an application of light localization in one-dimension," Appl. Phys. Lett. 67, 2431-2432 (1995).
  7. P. Han and H. Z. Wang, "Extension of omni directional reflection range in one-dimensional photonic crystals with a staggered structure," J. Opt. Soc. Am. B 20, 1996-2001 (2003).
  8. J. J. Xu, H. P. Fang, and Z. F. Lin, "Expanding high reflection range in a dielectric multilayer reflector by disorder and inhomogeneity," J. Phys. D 34, 445-449 (2001).
  9. W. Hu, Z. L. Li, B. Y. Cheng, and D. Z. Zhang, "Localization of light for dissipative and disordered one-dimensional systems," Phys. Rev. B 54, 11873-11875 (1996).
  10. U. Kuhl and H. J. Stockmann, "Microwave transmission spectra in regular and irregular one-dimensional scattering arrangements," Physica E 9, 384-388 (2001).
  11. V. Baluni and J. Willemsen, "Transmission of acoustic waves in a random layered medium," Phys. Rev. A 31, 3358-3363 (1985).
  12. A. Rosen, B. Fischer, A. Bekker, and S. Fishman, "Optical kicked system exhibiting localization in the spatial frequency domain," J. Opt. Soc. Am. B B17, 1579-1588 (2000).
  13. B. Fischer, A. Rosen, A. Bekker, and S. Fishman, "Experimental observation of localization in the spatial frequency domain of an optical kicked system," Phys. Rev. E 61, R4694-R4697 (2000). [CrossRef]
  14. B. Fischer, A. Rosen, and S. Fishman, "Localization in frequency for periodically kicked light propagation in a dispersive single mode fibers," Opt. Lett. 24, 1463-1465 (1999).
  15. B. Fischer, B. Vodonos, S. Atkins, and A. Bekker, "Demonstration of localization in the frequency domain of mode-locked lasers with dispersion," Opt. Lett. 27, 1061-1063 (2002).
  16. S. Atkins, A. Rosen, A. Bekker, and B. Fischer, "Evolution of localization in frequency for modulated light pulses in a recirculating fiber loop," Opt. Lett. 28, 2228-2230 (2003).
  17. B. Fischer and O. Shapira, "Light propagation and localization in a randomly spaced grating array in a single-mode fiber," in Conference on Lasers and Electro-Optics (Optical Society of America, 2001).
  18. H. Furstenberg, "Noncommuting random products," Trans. Am. Math. Soc. 108, 377-428 (1962).
  19. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1997).
  20. A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford U. Press, 1995).
  21. H. Matsuda and K. Ishii, "Localization of normal modes and energy transport in the disordered harmonic chain," Suppl. Prog. Theor. Phys. 45, 87 (1970).
  22. I. Bennion, J. A. R. Williams, L. Zhang, K. Sugden, and N. J. Doran, "UV written in fiber Bragg gratings," Opt. Quantum Electron. 28, 93-135 (1996).

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