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

dc.contributor.authorCalvo Padilla, María Luisa
dc.contributor.authorEnoch, Jay M.
dc.contributor.authorLakshminarayanan, Vasudevan
dc.contributor.authorLimeres, J.
dc.date.accessioned2023-06-20T10:43:02Z
dc.date.available2023-06-20T10:43:02Z
dc.date.issued2003-07
dc.description© 2003 Optical Society of America. Congress of the International Commission for Optics (19º. 2002. Florencia, Italia). The authors gratefully acknowledge financial support from the New Del Amo Foundation under the New Del Amo Joint Academic Project (University of California–Universidad de Madrid) and from the Universidad Complutense de Madrid under Multidisciplinary Project PR486/97-7477/97. Partial results were presented at the 19th Congress, ‘‘Optics for the quality of life,’’ International Commission for Optics, Florence, Italy, August 25–30, 2002.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipNew Del Amo Foundation
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.sponsorshipUniversity of California
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/25581
dc.identifier.doi10.1364/JOSAB.20.001542
dc.identifier.issn0740-3224
dc.identifier.officialurlhttp://dx.doi.org/10.1364/JOSAB.20.001542
dc.identifier.relatedurlhttp://www.opticsinfobase.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51065
dc.issue.number7
dc.journal.titleJournal of the Optical Society of America B-Optical Physics
dc.language.isoeng
dc.page.final1549
dc.page.initial1542
dc.publisherThe Optical Society Of America
dc.relation.projectIDNew Del Amo Joint Academic Project
dc.relation.projectIDPR486/97-7477/97
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordNerve-Fiber Layer
dc.subject.keywordMultiple-Scattering
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleLight scattering by an array of birefringent optical waveguides: theoretical foundations
dc.typejournal article
dc.volume.number20
dcterms.references1. A. W. Snyder, “Excitation and scattering of modes on a dielectric of optical fiber”, IEEE Trans. Microwave Theory Tech. MIT-17, 1138–1144 (1969). 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). 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). 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). 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). 7. T. B. Smith, “Multiple scattering in the cornea”, J. Mod. Opt. 35, 93–101 (1988). 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). 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). 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). 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). 16. D. R. Williams and N. J. Coletta, “Cone spacing and the visual resolution limit”, J. Opt. Soc. Am. A 4, 1514–1523 (1987). 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).
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relation.isAuthorOfPublicatione2846481-608d-43dd-a835-d70f73a4dd48
relation.isAuthorOfPublication.latestForDiscoverye2846481-608d-43dd-a835-d70f73a4dd48

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