Vol. 46

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2012-11-29

Refractive Index and Thickness Evaluation of Monomode and Multimode Step-Index Planar Optical Waveguides Using Longitudinal Section Magnetic (Lsm) and Longitudinal Section Electric (Lse) Formulation

By Adrian Fernandez Gavela, Silvino Jose Antuna Presa, Miguel García Granda, Isabel Alvarez Martos, Maria Teresa Fernandez Abedul, Agustin Costa Garcia, Maria Rodriguez Lastra, and Jose Rodriguez García
Progress In Electromagnetics Research B, Vol. 46, 213-231, 2013
doi:10.2528/PIERB12102605

Abstract

In this work, we demonstrate that the LSM and LSE modes formulation is an excellent theoretical tool for determining the refractive index and thickness of the guiding layer in planar optical waveguides with step refractive index profile. Refractive index of transparent materials, capable of being deposited as a solid thin layer on a substrate for confining light, can be evaluated very accurately. The method can be applied to analyze and design monomode and multimode optical waveguides, unlike the methods proposed so far, including cutoff wavelength region. This wave model only requires the experimental evaluation of the effective indices of the guided modes. In order to verify the developed formulation, the commercial software Olympios was used for theoretical comparison. Polymeric planar optical waveguides were fabricated and characterized. A prism coupling method and the Metricon system were used for effective indices measurements and to compare the accuracy. The experimental evaluation of the thickness was carried out by profilometry. In all cases a complete agreement was obtained for refractive index and thickness between theory and experiments.

Citation


Adrian Fernandez Gavela, Silvino Jose Antuna Presa, Miguel García Granda, Isabel Alvarez Martos, Maria Teresa Fernandez Abedul, Agustin Costa Garcia, Maria Rodriguez Lastra, and Jose Rodriguez García, "Refractive Index and Thickness Evaluation of Monomode and Multimode Step-Index Planar Optical Waveguides Using Longitudinal Section Magnetic (Lsm) and Longitudinal Section Electric (Lse) Formulation," Progress In Electromagnetics Research B, Vol. 46, 213-231, 2013.
doi:10.2528/PIERB12102605
http://www.jpier.org/PIERB/pier.php?paper=12102605

References


    1. Qurechi, G. J., et al., "Four layer polymeric optical waveguides based on styrene acrylonitrile (SAN)," Proceedings of SPIE, Vol. 4679, 440-444, 2002.
    doi:10.1117/12.461703

    2. Ghawana, K., S. Singh, and K. N. Tripathi, "Determination of waveguide parameters of acrylonitrile-based polymer optical waveguides," Journal of Optics, Vol. 29, No. 4, 265-267, 1998.
    doi:10.1088/0150-536X/29/4/003

    3. Kumar, R., et al., "Fabrication and characterization of polyvinyl-alcohol-based thin-film optical waveguides," Optical Engineering, Vol. 43, No. 9, 2134-2142, 2004.
    doi:10.1117/1.1779623

    4. Ren, Y., "Efficiency shifts of prism coupling into polymer waveguides subject to environmental variations," Optical Materials, Vol. 19, No. 4, 443-447, 2002.
    doi:10.1016/S0925-3467(02)00025-3

    5. Kersten, R. T., "Numerical solution of the mode-equation of planar dielectric waveguides to determine their refractive index and thickness by means of a prism-film coupler," Optics Communications, Vol. 9, No. 4, 427-431, 1973.
    doi:10.1016/0030-4018(73)90288-5

    6. Ulrich, R. and R. Torge, "Measurement of thin film parameters with a prism coupler," Applied Optics, Vol. 12, No. 12, 2901-2908, 1973.
    doi:10.1364/AO.12.002901

    7. Luurtsema, G. A., "Spin coating for rectangular substrates,", M.Sc. Thesis, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, July 1997.

    8. Ulrich, R., "Theory of the prism-film coupler by plane-wave analysis," Journal of the Optical Society of America, Vol. 60, No. 10, 1337-1350, 1970.
    doi:10.1364/JOSA.60.001337

    9. Itoh, T., "Dielectric waveguide-type millimeter-wave integrated circuits," Infrared and Millimeter Waves, Vol. 4, 199-271, K. J. Button, J. C. Wiltse, Editors, Academic Press, New York, .

    10. Young, L. and H. Sobol, Advances in microwaves, Vol. 8, Academic Press, New York, 1974.

    11. Collin, R. E., Foundations for Microwave Engineering, 2nd Ed., McGraw-Hill, New York, 1992.

    12. Hunsperger, R. G., "Integrated optics: Theory and technology," Springer Series in Optical Sciences, Vol. 33, T. Tamir, Editor, Springer-Verlag, Berlin, 1991.

    13. Marcatili, E. A. J., "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell System Technical Journal, Vol. 48, No. 7, 2071-2102, 1969.
    doi:10.1002/j.1538-7305.1969.tb01166.x

    14. Toulios, P. and R. Knox, "Rectangular dielectric imagelines for millimeter integrated circuits," Western Electronic Show and Convention, 25-28, Los Angeles, California, 1970.

    15. Suhara, T., et al., "Analysis of optical channel waveguides and directional couplers with graded-index profile," Journal of Optical Society of America, Vol. 69, No. 6, 807-815, 1979.
    doi:10.1364/JOSA.69.000807