Abstract
In this paper, we present an inverse analytic transfer matrix (IATM) method to predict the refractive index profiles from the measurement of mode indices based on the analytic transfer matrix (ATM) method, which can exactly determine the modal characteristics of a planar optical waveguide with arbitrary index profiles. IATM method has been proved to be universally reliable not only in slowly changing profiles but also the profiles changing rapidly in which inverse WKB method would find difficult through numerical analysis for several typical refractive index profiles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cao, Z.Q., Y. Jiang, Q. Shen, X. Dou and Y. Chen. Opt. Soc. Am. A 16 2209, 1999.
Chiang, K.S. J. Lightwave Technol. LT-3 385, 1985.
Chiang, K.S., C.L. Wong, S.Y. Cheng and H.P. Chan. J. Lightwave Technol. 18 1412, 2000.
Hosian, S.I., J.P. Meunier, E. Bourillot, F. De Fornel and J.P. Goudonnet. Fiber Integr. Opt. 14 89, 1995.
Kaul, A.N. and K. Thyagrajan. Opt. Commun. 48 313, 1984.
Mathey, P. and P. Jullien. Opt. Commun. 122 127, 1996.
Oven, R., S. Batchelor, D.G. Ashworth, D. Gelder and J.M. Bradshaw. Electron. Lett. 31 229, 1995.
Steffen, J., A. Neyer, E. voges and N. Heckling. Appl. Opt. 29 4468, 1990.
Tonova, D., A. Paneva and B. Pantchev. Opt. Commun. 150 121, 1998.
White, J.M.P. and F. Heidrich. Appl. Opt. 15 151, 1976.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ding, Y., Cao, Z. & Shen, Q. Determination of Optical Waveguide Refractive-Index Profiles with the Inverse Analytic Transfer Matrix Method. Optical and Quantum Electronics 36, 489–497 (2004). https://doi.org/10.1023/B:OQEL.0000025769.11690.2d
Issue Date:
DOI: https://doi.org/10.1023/B:OQEL.0000025769.11690.2d