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Electromagnetic Waves and Optical Resonators

In: Dynamical Systems with Applications using MATLAB®

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  • Stephen Lynch

    (Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics)

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) 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.

Suggested Citation

  • Stephen Lynch, 2014. "Electromagnetic Waves and Optical Resonators," Springer Books, in: Dynamical Systems with Applications using MATLAB®, edition 2, chapter 0, pages 79-105, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06820-6_5
    DOI: 10.1007/978-3-319-06820-6_5
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