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.
The conception of excellent waveguide crossing by making the optical beam to pass over the intersecting silicon wire
waveguide is numerically investigated in the paper. It is realized by means of vertical up and down coupling through the
silica buffer of tapered Si wires with the upper polymer strip waveguide constructed by SU-8 (with refractive index
1.56). For the case of silicon wire with height 220 nm and width 450 nm the following parameters are used in the optimal
structure: the silica buffer - 180 nm, the taper length and tip - 30 mkm and 160 nm, SU-8 polymer height and width - 1.7
mkm and 1.5 mkm, respectively. At the central optical wavelength of 1.55 mkm it provides the total loss about 0.1 dB
for the through path: silicon wire – upper polymer – silicon wire. Thus, it provides the possibility for several silicon wire
crossings at a moderate loss. For the cross pass direction the optical wave passes through the straight silicon waveguide
and senses the present of the crossing waveguides only by the evanescent field. Thus, it provides negligible losses and
the possibility for multi-hundreds waveguide crossings. In order to study the task of light propagation through the
multiple crossings we use the modified method of lines and the effective index method approximation. Our results were
tested by the numerical experiments by 3D finite difference time domain (FDTD) method. The simulations prove that the
proposed structure provides almost a lossless silicon wire crossing (<0.002 dB) which can find multiple applications in
photonics for the cases when effective multiple crossings are needed.
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