Analytical Characterization on Pulse Propagation in a Semiconductor Optical Amplifier Based on Homotopy Analysis Method

Abstract

Abstract:Starting from the basic equations describing the evolution of the carriers and photons inside a semiconductor optical amplifier (SOA), the equation governing pulse propagation in the SOA is derived. By employing homotopy analysis method (HAM), a series solution for the output pulse by the SOA is obtained, which can effectively characterize the temporal features of the nonlinear process during the pulse propagation inside the SOA. Moreover, the analytical solution is compared with numerical simulations with a good agreement. The theoretical results will benefit the future analysis of other problems related to the pulse propagation in the SOA.

Homotopy analysis method applied to second-order frequency mixing in nonlinear optical dielectric media

“…[26] The HAM has previously been used to describe the behavior of a pulse propagating in a semiconducting optical amplifier. [27] Analytical expressions for time-dependent eikonal equations [28] and the nonlinear Schrodinger equation [29] have also been generated using the HAM. In this paper, we show that the classical problem of three-wave mixing in a second-order material can be approximated in terms of common functions using the HAM.…”