Stability analysis in a multi-channel quasi-ring optical network

In this paper we perform stability analysis of a quasi-ring optical network, the simplest configuration in which channel power excursions can self-propagate indefinitely. The quasi-ring is a network composed of two reconfigurable optical add-drop multiplexers (ROADMs) each equipped with a constant gain optical amplifier and a wavelength selective switch. Over the amplified spans, two sets of lightpaths (added/dropped by opposite ROADMs) are transmitted in mirror image of each other and form an overlapping ring. Using Lyapunov analysis and the small gain theorem, we derive sufficient stability conditions for the quasi-ring as well as an L2 bound for the channel power excursions. These are functions of the amplifier gain coupling quantified by its Lipschitz constant. Numerical results that verify and compare the theoretical L2 excursion bounds are provided. To accomplish this, we use Bell Lab's A Transparent Optical Mesh (ATOM) simulator to set up dynamic network loading and input channel disturbance scenarios.

[1]  S. Chandrasekhar,et al.  Control of Channel Power Instabilities in Constant-Gain Amplified Transparent Networks Using Scalable Mesh Scheduling , 2008, Journal of Lightwave Technology.

[2]  Daniel C. Kilper,et al.  ROADMs and their system applications , 2008 .

[3]  P. Olver.  Nonlinear Systems , 2013 .

[4]  Daniel C. Kilper,et al.  Simulation of power evolution and control dynamics in optical transport systems , 2005, Bell Labs Technical Journal.

[5]  Yan Pan,et al.  Channel power excursions in GMPLS end-to-end optical restoration with single-step wavelength tuning , 2012, OFC/NFOEC.

[6]  Zheng Wang,et al.  Oscillation analysis for a quasi-ring optical network , 2012, 2012 American Control Conference (ACC).

[7]  Dahai Xu,et al.  Architectures and Protocols for Capacity Efficient, Highly Dynamic and Highly Resilient Core Networks [Invited] , 2012, IEEE/OSA Journal of Optical Communications and Networking.

[8]  Lacra Pavel,et al.  Dynamics and stability in optical communication networks: a system theory framework , 2004, Autom..

[9]  Leslie A. Rusch,et al.  Output power excursions in a cascade of EDFAs fed by multichannel burst-mode packet traffic: experimentation and modeling , 2001 .

[10]  J. L. Zyskind,et al.  Average inversion level, modeling, and physics of erbium-doped fiber amplifiers , 1997 .

[11]  A. Bononi,et al.  Large power swings in doped-fiber amplifiers with highly variable data , 1999, IEEE Photonics Technology Letters.

[12]  G. Ellinas,et al.  Observation of prolonged power transients in a reconfigurable multiwavelength network and their suppression by gain-clamping of optical amplifiers , 1998, IEEE Photonics Technology Letters.

[13]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[14]  Daniel C. Kilper,et al.  Persistent channel power deviations in constant gain amplified long-chain ROADM networks , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.