OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 20, Iss. 7 — Jul. 1, 2003
  • pp: 1542–1549

Light scattering by an array of birefringent optical waveguides: theoretical foundations

J. Limeres, M. L. Calvo, J. M. Enoch, and V. Lakshminarayanan  »View Author Affiliations

JOSA B, Vol. 20, Issue 7, pp. 1542-1549 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (249 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We develop a computational method for calculating the spatial profile of the electromagnetic field after scattering by an array of waveguides. Our formalism is very general and includes chromatic dependence, the influence of the array arrangement, and other effects such as the effect of stress. Our calculations of the amplitude and phase of scattered light provide valuable information about the features of the waveguides. These results can be applied to different areas of study, such as biological waveguides and fiber sensing.

© 2003 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2370) Fiber optics and optical communications : Fiber optics sensors
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(230.7370) Optical devices : Waveguides
(290.4210) Scattering : Multiple scattering
(330.5310) Vision, color, and visual optics : Vision - photoreceptors

J. Limeres, M. L. Calvo, J. M. Enoch, and V. Lakshminarayanan, "Light scattering by an array of birefringent optical waveguides: theoretical foundations," J. Opt. Soc. Am. B 20, 1542-1549 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. W. Snyder, “Excitation and scattering of modes on a dielectric of optical fiber,” IEEE Trans. Microwave Theory Tech. MIT-17, 1138–1144 (1969). [CrossRef]
  2. R. F. Álvarez-Estrada and M. L. Calvo, “Electromagnetic scattering by an infinite inhomogeneous dielectric cylinder: new Green’s function and integral equations,” J. Math. Phys. 21, 389–394 (1980). [CrossRef]
  3. S. K. Sharma and D. J. Somerford, “Scattering of light in the Eikonal approximation,” in Progress in Optics, Vol. XXXIX, E. Wolf, ed. (Elsevier, North-Holland, Amsterdam, 1992), Chap. III.
  4. M. L. Calvo and A. Durán, “Freedholm’s method for multiple scattering of electromagnetic waves by fixed obstacles,” Il Nuovo Cimento 45B, 68–76 (1978). [CrossRef]
  5. P. Cheben and M. L. Calvo, “Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara’s solution,” J. Mod. Opt. 46, 181–198 (1999). [CrossRef]
  6. M. L. Calvo and R. F. Álvarez-Estrada, “Coupling of dielectric waveguides,” in Max Born Centenary Conference, M. J. Colles and D. Swift, eds., Proc. SPIE 369, 401–406 (1982). [CrossRef]
  7. T. B. Smith, “Multiple scattering in the cornea,” J. Mod. Opt. 35, 93–101 (1988). [CrossRef]
  8. Q. Zhou and R. W. Knighton, “Light scattering and form birefringence of parallel cylindrical arrays that represent cellular organelles of the retinal nerve fiber layer,” Appl. Opt. 36, 2273–2285 (1997). [CrossRef] [PubMed]
  9. T. R. Wolinski, “Polarimetric optical fibers and sensors,” in Progress in Optics, Vol. XL, E. Wolf, ed. (Elsevier, Amsterdam, 2000), Chap. I.
  10. A. Snyder and J. D. Love, Optical Waveguide Theory, (Chapman & Hall, London, 1983), Chap. 30.
  11. R. F. Alvarez-Estrada and M. L. Calvo, “Single-mode anisotropic cylindrical dielectric waveguides,” Opt. Acta 30, 481–503 (1983). [CrossRef]
  12. A. M. Benoit, K. Naoun, V. Louis-Dorr, L. Mala, and A. Raspiller, “Linear dichroism of the retinal nerve fiber layer expressed with Mueller matrices,” Appl. Opt. 40, 565–569 (2001). [CrossRef]
  13. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: the Art of Scientific Computing (Cambridge University, New York, 1988).
  14. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), p. 360, formula 9.1.8.
  15. R. Barakat, “Application of the sampling theorem to optical diffraction theory,” J. Opt. Soc. Am. 54, 921–930 (1964). [CrossRef]
  16. D. R. Williams and N. J. Coletta, “Cone spacing and the visual resolution limit,” J. Opt. Soc. Am. A 4, 1514–1523 (1987). [CrossRef] [PubMed]
  17. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 2, Sec. 2.4.
  18. V. Lakshminarayanan and J. M. Enoch, “Biological Waveguides” in Handbook of Optics Vol. III, 2nd ed., M. Bass, ed. (McGraw-Hill, New York, 2001), Chap. 9.
  19. R. Dändliker, “Rotational effects of polarization in optical fibers,” in Anisotropic and Non-Linear Optical Waveguides, C. G. Someda and G. Stegman, eds. (Elsevier, Amsterdam, 1992), p. 42, Sec. 2.2.
  20. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1960), Chap. XI, Sec. 81.
  21. S. Choi, M. Kono, and J. M. Enoch, “Evidence for Transient Strains at the Optics Disc and Nerve in Myopia: I. Stiles-Crawford Effect Studies Performed Over Time,” presented at the Annual Meeting of Association for Research in Vision and Ophthalmology, Fort Lauderdale, Florida, May 5–10, 2002.
  22. J. Limeres, M. L. Calvo, V. Lakshminarayanan, and J. M. Enoch, “Stress sensor based on light scattering by an array of birefringent optical waveguides,” in International Commission for Optics XIX: Optics for the Quality of Life, A. Consortini and G. C. Righini, eds., Proc. SPIE 4829, 881–882 (2002).

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