Higher order error of discrete fiber model and asymptotic bound on multistaged PMD compensation

• Published in: Journal of lightwave technology Vol. 18; no. 9; pp. 1205 - 1213
• Main Authors: Li, Y., Eyal, A., Yariv, A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2000; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic properties; Birefringence; Circuit properties; Compensation; Computer simulation; Differential equations; Electric, optical and optoelectronic circuits; Electronics; Errors; Exact sciences and technology; Fiber waveguides, couplers, and arrays; Fibers; Formalism; Integrated optics. Optical fibers and wave guides; Mathematical model; Mathematical models; Optical and optoelectronic circuits; Optical fiber communication; Optical fiber polarization; Optical fibers; Optical retarders; Physics; Polarization mode dispersion; Stochastic resonance; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Error analysis; Random matrix; Optical telecommunication; Compensation; Numerical simulation; Asymptotic approximation; Modal dispersion; Modeling; Optical fiber; Polarization mode
• ISSN: 0733-8724; 1558-2213
• DOI: 10.1109/50.871696

We develop a random-matrix formalism that enables analysis of a variety of polarization-mode dispersion (PMD) related problems. In particular, we address the problems of higher order error in a discrete fiber model and limit of multistaged PMD compensation schemes. Our solution to the first problem leads to a simple condition for the validity of the model, which is often overlooked in PMD simulations. For the second issue, we have found an asymptotic bound on the limit of a multistaged PMD compensation scheme. The theory is confirmed by numerical simulations, and future work is suggested.