RESUMEN
A simulation-based method to predict the multiwavelengths in a fiber Brillouin cavity is proposed. The coupled steady-state equation is solved by describing the multiwavelength in a clockwise or counterclockwise direction of the fiber Brillouin cavity. By applying the guessed constants solution as the boundary condition at the output, the partial differential equation is solved with the initial guess value to find the approximate solution. The algorithm is based on the finite element method, and it has proven to be somewhat fast and accurate. Furthermore, a quantitative study is performed on the basis of the proposed algorithm. This work presents a practical option to gain experimental instructions to describe the multiwavelength fiber Brillouin cavity, for which we believe no efficient algorithm currently exists.