Electro-refraction modulation predictions for silicon graphene waveguides in the 1540-1560 nm region

(c) 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.We derive analytical approximations for the variation of the effective indices of the fundamental transverse electric (TE) and transverse magnetic (TM) modes with the chemical potential of graphene in three common types of silicon graphene waveguides. In all cases, a third-order polynomial provides an excellent degree of approximation (<; 10-4) over the 1540-1560 nm wavelength band. The approximations can be useful in the design of complex-integrated photonic circuits where graphene is employed to tune the refractive of the dielectric waveguides.This work was supported in part by the Research Excellency Award Program GVA PROMETEO II/2013/012; in part by Spanish MINECO projects TEC2013-42332-P PIF4ESP, TEC2015-69787-REDT PIC4TB, and TEC2014-60378-C2-1-R MEMES; and in part by projects FEDER UPVOV 10-3E-492 and FEDER UPVOV 08-3E-008. The work of D. Perez was supported by the FPI-UPV Grant Program from the Universitat Politecnica de Valencia.Pérez-López, D.; Doménech Gómez, JD.; Muñoz Muñoz, P.; Capmany Francoy, J. (2016). Electro-refraction modulation predictions for silicon graphene waveguides in the 1540-1560 nm region. IEEE Photonics Journal. 8(5):1-13. https://doi.org/10.1109/JPHOT.2016.25987811138