Nonlinear State-Space Model of Semiconductor Optical Amplifiers With Gain Compression for System Design and Analysis

• Published in: Journal of lightwave technology Vol. 26; no. 14; pp. 2274 - 2281
• Main Authors: Kuntze, S.B., Zilkie, A.J., Pavel, L., Aitchison, J.S.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 15.07.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Amplification; Analytical models; Applied sciences; Charge carrier density; Circuit properties; Compressing; Dynamic tests; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Exact solutions; Gain; Gain control; Integrated optics. Optical fibers and wave guides; Mathematical analysis; Nonlinear dynamical systems; Nonlinearity; Optical and optoelectronic circuits; Optical control; optical crosstalk; Optical design; Optical feedback; optical pulse measurements; Polynomials; power control; Power system modeling; Semiconductor optical amplifiers; state-space methods; System analysis and design; Charge carrier density; optical pulse measurements; System design; Power electronics; State space method; Recovery time; Gain control; Optical control; Semiconductor optical amplifiers; Optical measurement; Optical feedback; Power control; Non linear model; Analytical method; Optical crosstalk; Optical pulse; System analysis; Multiple channel; Comparative study; Gain; Pulse measurement; state-space methods
• ISSN: 0733-8724; 1558-2213
• DOI: 10.1109/JLT.2008.922212

In this paper, we derive a new analytical state-space model for semiconductor optical amplifier (SOA) dynamics with nonlinear gain compression. We show that a multichannel closed-form state-space model is possible with polynomial gain compression and position-independent carrier density. The compressed model is significantly more accurate than existing noncompressed models as demonstrated by comparison with pump-probe experiments: response magnitude and recovery time are more accurately modeled with explicit gain compression. We then apply the model to design an optical feedback controller that regulates the total optical power at the output of a gain-compressed SOA.