Vol. 46
Latest Volume
All Volumes
PIERB 109 [2024] PIERB 108 [2024] PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
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
Progress In Electromagnetics Research B, Vol. 46, 213-231, 2013
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
References

1. Qurechi, G. J., V. K. Gupta, 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., A. P. Singh, 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., Y. Handa, 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