TY - JOUR AB - © 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement. We theoretically investigate a new class of silicon waveguides for achieving Stimulated Brillouin Scattering (SBS) in the mid-infrared (MIR). The waveguide consists of a rectangular core supporting a low-loss optical mode, suspended in air by a series of transverse ribs. The ribs are patterned to form a finite quasi-one-dimensional phononic crystal, with the complete stopband suppressing the transverse leakage of acoustic waves, confining them to the core of the waveguide. We derive a theoretical formalism that can be used to compute the opto-acoustic interaction in such periodic structures, and find forward intramodal-SBS gains up to 1750 m -1 W -1 , which compares favorably with the proposed MIR SBS designs based on buried germanium waveguides. This large gain is achieved thanks to the nearly complete suppression of acoustic radiative losses. AU - Schmidt, MK AU - Poulton, CG AU - Mashanovich, GZ AU - Reed, GT AU - Eggleton, BJ AU - Steel, MJ DA - 2019/01/01 DO - 10.1364/OE.27.004976 EP - 4989 JO - Optics Express PY - 2019/01/01 SP - 4976 TI - Suspended mid-infrared waveguides for stimulated brillouin scattering VL - 27 Y1 - 2019/01/01 Y2 - 2026/06/09 ER -