An efficient approach for calculating the reflection and transmission spectra of fiber Bragg gratings with acoustically induced microbending

A novel and efficient approach is proposed to calculate transmission and reflection spectra of propagating core mode and higher-order cladding modes when the fiber Bragg gratings (FBGs) are modulated by acoustically induced microbending. Based on a matrix form of first-order differential equations and its eigen-values/vectors using similarity transformation method, coupled-mode equations modeling acoustically induced microbending in FBG with a thin cladding can be transformed into a simple mathematical formulation. This method would be straightforward and thus beneficial to solve directly multimode coupled equations in comparison with a previous used fundamental matrix method and a Runge–Kutta algorithm. This simple model provides us a good view of co-directional and contra-directional couplings caused by acoustically induced microbending through FBGs.