Rate Equation of quantum-dot semiconductor optical Amplifier

This code solves the rate equation model of a quantum-dot semiconductor optical Amplifier using the finite difference method (FDM).

Quantum-dot (QD) semiconductor optical amplifiers have presented noticeable characteristics for use in a wide variety of applications, from all-optical signal processing to optical communication systems. Among these characteristics, ultrafast gain recovery, large saturation power, pattern-effect-free amplification under saturated conditions, the capability of operation at terabits per second speeds, amplification of high bit rate multichannel signals, small dimensions, and integration with other optoelectronic devices, such as laser diodes and optical modulators, are the most important properties of these devices.