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7 May 2013 Numerical simulation of multi-splitting widely tunable filter on SOI
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Paper present results of numerical investigation by finite difference time domain (FDTD) method of new tunable optical filter which utilized multiple coupled silicon wire waveguides on SOI structures. In order to improve simulation accuracy we introduce modified effective index method (MEIM) which correctly describes in 2d case both the phase and the group indexes in 3d strip waveguide, typically used in silicon photonics in thin SOI structures. MEIM utilizes the combined index profile containing two spatial parameters as in actual 3d waveguide. Namely, the central part with refractive index of Si has the width w around waveguide height h and it is mainly responsible for the group index. The base part has the same width W as in 3d waveguide and refractive index Nb which is mainly responsible for the phase index. As a results, MEIM provides typical error about 1%-2% for the filter free spectral range (FSR) instead of about 30% for EIM. Numerical simulation of novel filter proves its general conception and demonstrates that a short 360 mkm structure with 32 couplers has spectral resolutions 1.5 nm, loss -1 dB and sidelobes below -26 dB. It provides wavelength tuning (without Vernier principle) within total FSR 36 nm at central optical wavelength 1.55 mkm by temperature change up to 100 C in four sets of thermo optic phase shifters. Device of 1 cm size provides 0.05 nm filter linewidth. Filter can be manufactured by CMOS compatible technology and very promising for applications in photonics.
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A. Tsarev "Numerical simulation of multi-splitting widely tunable filter on SOI", Proc. SPIE 8781, Integrated Optics: Physics and Simulations, 878106 (7 May 2013);

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