Comprehensive Finite-Difference Time-Dependent Beam Propagation Model of Counterpropagating Picosecond Pulses in a Semiconductor Optical Amplifier

Abstract

Abstract-In this paper, we present a numerical model to study counter pulse propagation in semiconductor optical amplifiers. An improved finite-difference beam propagation method for solving the modified nonlinear Schrödinger equation is applied for the first time in the counterpropagation regime. In our model, group velocity dispersion, two-photon absorption, ultrafast nonlinear refraction, and the change in the gain peak wavelength with carrier density are included, which have not been considered simultaneously in previous counterpropagation models. The model is applied to demonstrate how a subpicosecond and picosecond probe pulse shape and spectrum can be modified by a counterpropagating pump pulse. Based on the results obtained by this model, while subpicosecond probe pulses can be compressed by in this scheme, their time-bandwidth product are also improved significantly. Furthermore, the effects of several parameters are analyzed to obtain the proper probe spectral peak shift using counterpropagating probe pulses. The accuracy and computational efficiency of the new scheme are assessed through numerical examples and are shown to be superior to previously published approaches.Index Terms-Counterpropagation, pulse shaping, semiconductor optical amplifier, ultrafast nonlinear effects.

Optical Phase-Conjugation of Picosecond Four-Wave Mixing Signals in SOAs

“…The FD-BPM (Conte & Boor, 1980;Chung & Dagli, 1990;Das et al, 2000;Razagi et al, 2009aRazagi et al, & 2009b is used for the simulation of several important characteristics, namely, (1) single pulse propagation in SOAs (Das et al, 2008;Razaghi et al, 2009aRazaghi et al, & 2009b, (2) two input pulses propagating in SOAs Connelly et al, 2008), (3) Optical DEMUX characteristics of multi-probe or pump input pulses based on FWM in SOAs , (4) , and (5) FWM conversion efficiency with optimum time-delays between the input pump and probe pulses (Das et al, 2007).…”

“…The FD-BPM is capable to simulate the optical pulse propagation taking into consideration the dynamic gain terms in SOAs (Das et al, & 2007Razaghi et al, 2009aRazaghi et al, & 2009bAghajanpour et al, 2009). We used the modified MNLSE for nonlinear optical pulse propagation in SOAs by the FD-BPM (Chung & Dagli, 1990;Conte & Boor, 1980).…”

Optical Demultiplexing Based on Four-Wave Mixing in Semiconductor Optical Amplifiers

“…The FD-BPM (Conte & Boor, 1980;Chung & Dagli, 1990;Das et al, 2000;Razaghi et al, 2009aRazaghi et al, & 2009b is used for the simulation of several important characteristics, namely, (1) single pulse propagation in SOAs (Das et al, 2008;Razaghi et al, 2009aRazaghi et al, & 2009b, (2) two input pulses propagating in SOAs Connelly et al, 2008), (3) Optical DEMUX characteristics of multi-probe or pump input pulses based on FWM in SOAs , (4) Optical phase-conjugation characteristics of picosecond FWM signal in SOAs , and (5) FWM conversion efficiency with optimum time-delays between the input pump and probe pulses (Das et al, 2007).…”

Impact of Pump-Probe Time Delay on the Four Wave Mixing Conversion Efficiency in Semiconductor Optical Amplifiers

“…The FD-BPM (Conte & Boor, 1980;Chung & Dagli, 1990) is used for the simulation of several important charactreristics, namely, (1) single pulse propagation in SOAs (Das et al, 2008;Razaghi et al, 2009aRazaghi et al, & 2009b, (2) two input pulses propagating in SOAs (Das et al, 2000;;Connelly et al, 2008), (3) multiplexing of several input pulses using FWM , (4) two input pulses with phase-conjugation propagating along SOAs , and (5) two propagating input pulses with time-delay between them being optimized (Das et al, 2007).…”

“…The FD-BPM enables the simulation of optical pulse propagation taking into consideration the dynamic gain terms in SOAs (Das et al, 2007;Razaghi et al, 2009aRazaghi et al, & 2009bAghajanpour et al, 2009). We used the modified MNLSE for optical pulse propagation in SOAs by the FD-BPM (Chung & Dagli, 1990;Conte & Boor, 1980).…”