Electromagnetic Waves and Optical Resonators

Stephen Lynch ()
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Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 14 in Dynamical Systems with Applications using Maple¿, 2010, pp 309-335 from Springer

Abstract: Aims and Objectives • To introduce some theory of electromagnetic waves. • To introduce optical bistability and show some related devices. • To discuss possible future applications. • To apply some of the theory of nonlinear dynamical systems to model a real physical system. On completion of this chapter, the reader should be able to • understand the basic theory of Maxwell’s equations; • derive the equations to model a nonlinear simple fiber ring (SFR) resonator; • investigate some of the dynamics displayed by these devices and plot chaotic attractors; • use a linear stability analysis to predict regions of instability and bistability; • plot bifurcation diagrams using the first and second iterative methods; • compare the results from four different methods of analysis.

Keywords: Electromagnetic Wave; Bifurcation Diagram; Chaotic Attractor; Linear Stability Analysis; Ring Resonator (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4605-9_15

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DOI: 10.1007/978-0-8176-4605-9_15

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