Abstract
The spectral response of an arrayed-waveguide grating (AWG) demultiplexer is calculated by simulating the field propagation in the output section of an AWG with a wide-angle beam propagation method (BPM) in a cylindrical coordinate system. As in a practical design of an AWG demultiplexer, each output waveguide consists of two straight sections connected by a bending section. The spectral response obtained by the present algorithm is more accurate than those obtained with two popular approximate methods, namely, the conventional overlapped integral method and the standard BPM for radially straight and infinitely long output waveguides. With the present algorithm, the dependence of the spectral response on the parameters of the output section is analyzed. The channel crosstalk and the 3 dB passband width of the spectral response depend mainly on the length of the first straight section, the end separation and the angular separation of the output waveguides. The bending section results in an asymmetrical spectral response with remarkable sidelobes which can be reduced by increasing the bending radius.
Similar content being viewed by others
References
Dai, D., S. Liu, S. He and Q. Zhou. J. Lightwave Technol. 20 1957–1961, 2002.
Hadley, G.R. Opt. Lett. 17 1743–1745, 1992.
Helfert, S.F. Opt. Quantum Electron. 30 359–368, 1998.
Okamoto, K. and A. Sugita. Electron. Lett. 32 1661–1662, 1996.
Rivera, M.J. Lightwave Technol. 13 233–238, 1995.
Scarmozzino R. and R.M.J. Osgood. Opt. Soc. Am. A. 8 724–731, 1991.
Smit, M.K. and C. Van Dam. IEEE J. Sel. Top. Quant. Electron 2 236–250, 1996.
Smit, M.K. (tiOptical phased arrays in integrated optics in silicon-based aluminum oxide), Ph.D. thesis. Delft University of Technology chapter 6, 1991.
Soole, J.B.D., M.R. Amerfoort, H.P. LeBlanc, N.C. Andreadakis, C.A.C. Rajhel, R. Bhat, M.A. Koza, C. Youtsey and I. Adesida IEEE Photon. Technol. Lett. 8 1340–1342, 1996.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dai, D., He, S. Calculation of the spectral response of an arrayed-waveguide gating demultiplexer with a wide-angle beam propagation method in a cylindrical coordinate system. Optical and Quantum Electronics 36, 967–979 (2004). https://doi.org/10.1007/s11082-004-2037-4
Issue Date:
DOI: https://doi.org/10.1007/s11082-004-2037-4