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Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides
Author(s) -
Ardavan Oskooi,
Almir Mutapcic,
Susumu Noda,
John D. Joannopoulos,
Stephen Boyd,
Steven G. Johnson
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.021558
Subject(s) - optics , photonic crystal , group velocity , coupling (piping) , scaling , perfectly matched layer , slow light , length scale , adiabatic process , physics , materials science , finite difference time domain method , mathematics , geometry , metallurgy , thermodynamics , quantum mechanics
We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabrication. Our short-length (11 periods) robust tapers designed for ? = 1.55?m and a slow-light group velocity of c/34 have a total loss of < 20 dB even in the presence of nanometer-scale surface roughness, which outperform the corresponding non-robust designs by an order of magnitude. We discover a posteriori that the robust designs have smooth profiles that can be parameterized by a few-term (intrinsically smooth) sine series which helps the optimization to further boost the performance slightly. We ground these numerical results in an analytical foundation by deriving the scaling relationships between taper length, taper smoothness, and group velocity with the help of an exact equivalence with Fourier analysis.

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