Design of ideal structures for lossless bends in optical waveguides by conformal mapping
- 1 January 1996
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Journal of Lightwave Technology
- Vol. 14 (11) , 2604-2614
- https://doi.org/10.1109/50.548161
Abstract
We propose an ideal structure for lossless bends in optical waveguides for the first time. The ideal structure is obtained by applying a series of conformal mappings to transform a single-mode straight waveguide into the equivalent bend configuration. The expressions used to determine the waveguide path and the refractive index are derived for the lossless bends with arbitrary bend angles, even up to 90/spl deg/. Also, variations in the waveguide path and the refractive index are illustrated by adopting lossless bends with six different bend angles (4, 10, 30, 45, 60, and 90/spl deg/). The simulated results show that the refractive-index distribution can be controlled within the range of interest for the practical bend structure. Moreover, the characteristics of the phase front for the modal field in a lossless bend are thoroughly discussed to verify that no transmitted power would be lost by conversion to radiation modes.Keywords
This publication has 12 references indexed in Scilit:
- Bending loss reduction in silica-based waveguides by using lateral offsetsJournal of Lightwave Technology, 1995
- A new general approach to optical waveguide path designJournal of Lightwave Technology, 1995
- Numerical optimization procedure for low-loss sharp bends in MgO Co-doped Ti:LiNbO3 waveguidesIEEE Photonics Technology Letters, 1995
- Design and application of very low-loss abrupt bends in optical waveguidesIEEE Journal of Quantum Electronics, 1994
- 90 degrees S-bends in Ti:LiNbO/sub 3/ waveguides with low lossesIEEE Photonics Technology Letters, 1993
- A new low-loss structure of abrupt bends in dielectric waveguidesJournal of Lightwave Technology, 1992
- Greatly reduced losses for small-radius bends in Ti:LiNbO3 waveguidesApplied Physics Letters, 1986
- GaAs single-mode rib waveguides with reactive ion-etched totally reflecting corner mirrorsJournal of Lightwave Technology, 1985
- Sharp bends with low losses in dielectric optical waveguidesApplied Optics, 1983
- Low-loss LiNbO_3 waveguide bends with coherent couplingOptics Letters, 1983