The high index contrast of the silicon-on-insulator (SOI) platform allows the
realization of ultra-compact photonic circuits. However, this high contrast
hinders the implementation of narrow-band Bragg filters. These typically
require corrugations widths of a few nanometers or double-etch geometries,
hampering device fabrication. Here we report, for the first time, on the
realization of SOI Bragg filters based on sub-wavelength index engineering in a
differential corrugation width configuration. The proposed double periodicity
structure allows narrow-band rejection with a single etch step and relaxed
width constraints. Based on this concept, we experimentally demonstrate a
single-etch, 220nm thick, Si Bragg filter featuring a corrugation
width of 150nm, a rejection bandwidth of 1.1nm and an
extinction ratio exceeding 40dB. This represents a ten-fold width
increase compared to conventional single-periodicity, single-etch counterparts
with similar bandwidths