УДК: 621.372.8
Using the difference spectrum of the modes when determining the parameters of planar waveguides
Full text «Opticheskii Zhurnal»
Full text on elibrary.ru
Publication in Journal of Optical Technology
Свистунов Д.В. Использование разностного спектра мод при определении параметров планарных волноводов // Оптический журнал. 2013. Т. 80. № 1. С. 17–23.
Svistunov D.V. Using the difference spectrum of the modes when determining the parameters of planar waveguides [in Russian] // Opticheskii Zhurnal. 2013. V. 80. № 1. P. 17–23.
D. V. Svistunov, "Using the difference spectrum of the modes when determining the parameters of planar waveguides," Journal of Optical Technology. 80(1), 12-17 (2013). https://doi.org/10.1364/JOT.80.000012
This paper proposes to include the construction and analysis of the difference spectrum of the modes in the usual procedure of determining the parameters of planar waveguides from the results of measurements of the spectrum of the waveguide modes. It is shown that analyzing the difference spectrum of the modes makes it possible to efficiently detect erroneous results of the measurements and to select the most suitable technique for calculating the refractive-index distribution of the test sample. Using the results of the analysis increases the reliability of reconstructing the profile of a planar lightguide and of the parameters of the kinetics of the process of forming a gradient layer determined from this analysis. This is especially useful when creating waveguides based on new materials.
planar waveguides, spectrum of modes, refractive-index profile, difference spectrum of modes
Acknowledgements:The author is very grateful to Professor D. K. Tagantsev, who provided the substrates made from experimental optical glasses.
OCIS codes: 230.7390, 130.0130, 160.3130, 120.3940
References:1. T. Tamir, ed., Integrated Optics (Mir, Moscow, 1978; Springer Verlag, New York, 1979).
2. M. J. Adams, An Introduction to Optical Waveguides (Wiley, New York, 1981; Mir, Moscow, 1984).
3. J. M. White and P. F. Heidrich, “Optical-waveguide refractive-index profiles determined from measurement of mode indices: a simple analysis,” Appl. Opt. 15, 151 (1976).
4. P. Mathey and P. Jullien, “Numerical analysis of a WKB inverse method in view of index-profile reconstruction in diffused waveguides,” Opt. Commun. 122, 127 (1996).
5. K. K. Evstrop’ev, Diffusion Processes in Glass (Stroiizdat, Leningrad, 1970).
6. K. A. Landa and G. T. Petrovskiĭ, Amorphous Planar Waveguides (Krasnoyarsk. Univ., Krasnoyarsk, 1987).
7. J. Linares, X. Prieto, and C. Montero, “A novel refractive-index profile for characterization of nonlinear diffusion processes and planar waveguides in glass,” Opt. Mater. 3, 229 (1994).
8. A. A. Lipovskii, D. V. Svistunov, D. K. Tagantsev, and V. V. Zhurihina, “Diffusion nonlinearity in aluminum–boron silicate glasses for ion-exchanged GRIN structures: A simple technique to evaluate diffusion non-linearity of glasses,” Opt. Mater. 28, 276 (2006).
9. B. I. Boltaks, Diffusion in Semiconductors (Fizmatgiz, Moscow, 1961).
10. S. D. Gertsriken and I. Ya. Dekhtyar, Diffusion in Metals and Alloys in the Solid Phase (Fizmatgiz, Moscow, 1960).
11. R. Sh. Malkovich, The Mathematics of Diffusion in Semiconductors (Nauka, St. Petersburg, 1999).
12. H. Mehrer, Diffusion in Solids: Fundamentals, Methods, Materials, Diffusion-controlled Processes (Springer, London, 2007; Intellekt, Dolgoprudnyi, 2011).
13. J. Crank, The Mathematics of Diffusion (Clarendon Press, Oxford, 1956).
14. K. S. Chiang, “Construction of refractive-index profiles of planar dielectric waveguides from the distribution of effective indexes,” J. Lightwave Technol. 3, 385 (1985).
15. F. Gonella, F. Caccavale, and A. Quaranta, “Secondary ion mass spectrometry applied to the study of ion-exchanged glass waveguides with a few modes,” Int. J. Optoelectron. 9, 359 (1994).