OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 12 — Apr. 20, 1999
  • pp: 2440–2450

Extremely asymmetrical scattering of optical waves in nonuniform periodic Bragg arrays

Dmitri K. Gramotnev and David F. P. Pile  »View Author Affiliations

Applied Optics, Vol. 38, Issue 12, pp. 2440-2450 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (242 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The extremely asymmetrical scattering (EAS) of bulk and guided electromagnetic waves in nonuniform periodic Bragg arrays with steplike variations of the grating amplitude is analyzed theoretically by means of a recently developed approach based on allowance for the diffractional divergence of the scattered wave. Arrays of finite and infinite widths are investigated. It is shown that, for thin nonuniform arrays, EAS has the same pattern as for uniform arrays with mean grating amplitude. On the contrary, for wide nonuniform arrays, the scattered wave amplitudes are well determined by local values of the grating amplitude. In this case, the energy of the scattered wave is shown to concentrate mainly in regions with smaller grating amplitude. The sensitivity of EAS to small imperfections of periodic arrays is investigated theoretically. The physical explanation of the observed effects is based on the diffractional divergence of the scattered wave.

© 1999 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(130.2790) Integrated optics : Guided waves

Original Manuscript: August 25, 1998
Revised Manuscript: January 19, 1999
Published: April 20, 1999

Dmitri K. Gramotnev and David F. P. Pile, "Extremely asymmetrical scattering of optical waves in nonuniform periodic Bragg arrays," Appl. Opt. 38, 2440-2450 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Z. G. Pinsker, Dynamical Scattering of X-Rays in Crystals (Springer-Verlag, Berlin, 1978). [CrossRef]
  2. S. Kishino, “Anomalous transmission in Bragg-case diffraction of x-rays,” J. Phys. Soc. Jpn. 31, 1168–1173 (1971). [CrossRef]
  3. S. Kishino, A. Noda, K. Kohra, “Anomalous enhancement of transmitted intensity of diffraction of x-rays from a single crystal,” J. Phys. Soc. Jpn. 33, 158–166 (1972). [CrossRef]
  4. T. Bedynska, “On x-ray diffraction in an extremely asymmetric case,” Phys. Status Solidi A 19, 365–372 (1973). [CrossRef]
  5. T. Bedynska, “X-ray diffraction in the range of two diffracted beams for extremely asymmetric case,” Phys. Status Solidi A 25, 405–411 (1974). [CrossRef]
  6. A. V. Andreyev, “X-ray optics of surfaces (reflection and diffraction at grazing incident angles),” Sov. Phys. Usp. 28, 70–93 (1985), and references therein. [CrossRef]
  7. M. P. Bakhturin, L. A. Chernzatonskii, D. K. Gramotnev, “Planar optical waveguides coupled by means of Bragg scattering,” Appl. Opt. 34, 2692–2703 (1995). [CrossRef] [PubMed]
  8. D. K. Gramotnev, “Extremely asymmetrical scattering of Rayleigh waves in periodic groove arrays,” Phys. Lett. A 200, 184–190 (1995). [CrossRef]
  9. D. K. Gramotnev, “A new method of analysis of extremely asymmetrical scattering of waves in periodic Bragg arrays,” J. Phys. D 30, 2056–2062 (1997). [CrossRef]
  10. D. K. Gramotnev, “Extremely asymmetrical scattering of slab modes in periodic Bragg arrays,” Opt. Lett. 22, 1053–1055 (1997). [CrossRef] [PubMed]
  11. Yu. V. Gulyaev, V. V. Plesski, “Propagation of acoustic surface waves in periodic structures,” Sov. Phys. Usp. 32, 51–74 (1989). [CrossRef]
  12. G. I. Stegeman, D. Sarid, J. J. Burke, D. G. Hall, “Scattering of guided waves by surface periodic grating for arbitrary angles of incidence: perturbation field theory and implications to normal-mode analysis,” J. Opt. Soc. Am. 71, 1497–1507 (1981). [CrossRef]
  13. E. Popov, L. Mashev, “Analysis of mode coupling in planar optical waveguides,” Opt. Acta. 32, 265–280 (1985). [CrossRef]
  14. L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” J. Lightwave Technol. 6, 1069–1082 (1988). [CrossRef]
  15. D. G. Hall, “Coupled mode theory for corrugated optical waveguides,” Opt. Lett. 15, 619–621 (1990). [CrossRef]
  16. F. Ouellette, “Dispersion cancellation using linearly chirped Bragg grating filters in optical waveguides,” Opt. Lett. 12, 847–849 (1987). [CrossRef] [PubMed]
  17. C. M. de Sterke, J. E. Sipe, “Launching of gap solitons in nonuniform gratings,” Opt. Lett. 18, 269–271 (1993). [CrossRef] [PubMed]
  18. N. G. R. Broderick, C. M. de Sterke, “Analysis of nonuniform gratings,” Phys. Rev. E 52, 4458–4464 (1995). [CrossRef]

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