Abstract
A theoretical approach based on Bloch theorem and spatial harmonics has been used to investigate the propagation characteristics in planar periodic segmented waveguides. This analytical method allows to evaluate the field distribution, the effective index and the propagation losses of these structures, taking into account both the propagating and the counterpropagating field components, thus evidencing all the phenomena which can take place in: Bragg reflections, leaky waves, etc. Results for TE fields are presented and compared with those obtained using a paraxial 2D FD-BPM method and a Padé based one, showing that no more than (1, 1) order approximants are needed to provide good estimates of the device characteristics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ashcroft, N.W. and N.D. Mermin. Solid State Physics, Holt, Rinehart and Winston, 1976.
Berenger, J. J. Comput. Phys. 114 185, 1994.
Bierlein, J.D., D.B. Laubacher, J.B. Brown and C.J. van der Poel. Appl. Phys. Lett. 56 1725, 1990.
Chung, Y. and N. Dagli. IEEE J. Quant. Electron. 26(8) 1335, 1990.
Collin, R.E. and F.J. Zucker. Antenna Theory, vol. 2, McGraw-Hill, New York, 1969.
Feit, M.D. and J.A. Fleck. Appl. Opt. 19 1154, 1980a.
Feit, M.D. and J.A. Fleck. Appl. Opt. 20 848, 1980b.
Fogli, F., G. Bellanca and P. Bassi. Opt. Quant. Electron. 30 443, 1998.
Hadley, G.R. Opt. Lett. 17 1426, 1992.
Li, L. and J.J. Burke. Opt. Lett. 17 1195, 1992.
Ortega, D., J.M. Aldariz, J.M. Arnold and J.S. Aitchison. J. Lightwave Technol. 17 369, 1999.
Ronald Hadley, G. Opt. Lett. 16 624, 1991.
Scarmozzino, R., A. Gopinath, R. Pregla and S. Helfert. IEEE J. Selected Topics Quant. Electron. 6(1) 150, 2000.
Yariv, A. and P. Yeh. Optical Waves in Crystals, Wiley, New York, 1984.
Weissman, Z. and A. Hardy. IEEE-JLT 11 1831, 1993.
Van Roey, J., J. van der Donk and P.E. Lagasse. J. Opt. Soc. Am. 71(7) 803, 1981.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fogli, F., Greco, N., Bassi, P. et al. Spatial harmonics modelling of planar periodic segmented waveguides. Optical and Quantum Electronics 33, 485–498 (2001). https://doi.org/10.1023/A:1010855204830
Issue Date:
DOI: https://doi.org/10.1023/A:1010855204830