Effect of second-order coupling on optical bistability in a hybrid optomechanical system Ali Asghari Nejad, Hamid R. Baghshahi and Hassan R. Askari Eur. Phys. J. D, 71 11 (2017) 267 Published online: 02 November 2017 DOI: 10.1140/epjd/e2017-80255-x