Abstract
Reflection properties of a nonuniform apodized Bragg grating connecting a homogeneous medium with a (half-infinite) uniform grating are investigated for system parameters such that the group velocity in the uniform grating is low. In particular a smooth polynomial transition of the index profile to the uniform region is considered. Exact coupled mode equations for local Bloch amplitudes are set up in a transfer matrix formalism. For a linear taper the coupling matrix appears to be singular for parameter values near the edge of the photonic band gap. The polynomial profile removes the singularity in this coupling term.
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Valkering T.P. To appear in the Proceedings of the ‘International Symposium on Modern Optics and its Applications IS-MOA,’ Bandung 2005, in J. Nonl. Opt. Mat., 2005.
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Valkering, T.P. Slow Light Via a Tapered Grating: Transfer Matrix Approach. Opt Quant Electron 38, 83–96 (2006). https://doi.org/10.1007/s11082-006-0020-y
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DOI: https://doi.org/10.1007/s11082-006-0020-y