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Electromagnetic Waves and Optical Resonators

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Bibliography

  1. G.P. Agrawal, Nonlinear Fiber Optics, 5th ed., Academic Press, New York, London, 2012.

    MATH  Google Scholar 

  2. G.P. Agrawal, Applications in Nonlinear Fiber Optics, 2nd ed., Academic Press, New York, London, 2008.

    Google Scholar 

  3. T. Bischofberger and Y.R. Shen, Theoretical and experimental study of the dynamic behavior of a nonlinear Fabry-Perot interferometer, Phys. Rev. A 19, (1979), 1169–1176.

    Article  Google Scholar 

  4. R.W. Boyd, Nonlinear Optics, 3rd ed., Academic Press, New York, London, 2008.

    Google Scholar 

  5. Chao-Xiang Shi, Nonlinear fiber loop mirror with optical feedback, Optics Comm. 107, (1994), 276–280.

    Google Scholar 

  6. N.J. Doran and D. Wood, Nonlinear-optical loop mirror, Optics Lett. 13, (1988), 56–58.

    Article  Google Scholar 

  7. F.S. Felber and J.H. Marburger, Theory of nonresonant multistable optical devices, Appl. Phys. Lett. 28, (1976), 731.

    Article  Google Scholar 

  8. W.J. Firth, Stability of nonlinear Fabry-Perot resonators, Optics Comm. 39-5, (1981), 343–346.

    Article  Google Scholar 

  9. H.M. Gibbs, Optical bistability: Controlling light with light, Academic Press, New York, London, 1985.

    Google Scholar 

  10. K. Ikeda, H. Daido, and O. Akimoto, Optical turbulence: chaotic behavior of transmitted light from a ring cavity, Phys. Rev. Lett. 45-9, (1980), 709–712.

    Article  Google Scholar 

  11. Y.H. Ja, Multiple bistability in an optical-fiber double-ring resonator utilizing the Kerr effect, IEEE J. Quantum Electron. 30-2, (1994), 329–333.

    Google Scholar 

  12. V. Lakshminarayanan, H. Ghalia, et al., Understanding Optics with Python, CRC Press, Florida, 2018.

    Google Scholar 

  13. H. Li and K. Ogusu, Analysis of optical instability in a double-coupler nonlinear fiber ring resonator, Optics Comm. 157, (1998), 27–32.

    Article  Google Scholar 

  14. S. Lynch and A.L. Steele, Nonlinear Optical Fibre Resonators with Applications in Electrical Engineering and Computing, in Applications of Nonlinear Dynamics and Chaos in Engineering, Santo Banerjee, Mala Mitra, Lamberto Rondoni (Eds.), Springer, 1, (2011) 65–84.

    Google Scholar 

  15. S. Lynch, A.L. Steele, and J.E. Hoad, Stability analysis of nonlinear optical resonators, Chaos, Solitons and Fractals, 9-6, (1998) 935–946.

    Article  Google Scholar 

  16. P. Mandel, Theoretical Problems in Cavity Nonlinear Optics, Cambridge University Press, Cambridge, UK, 2005.

    Google Scholar 

  17. J.H. Marburger and F.S. Felber, Theory of a lossless nonlinear Fabry-Perot interferometer, Phys. Rev. A 17, (1978), 335–342.

    Article  Google Scholar 

  18. R. Matthews, Catch the wave, New Scientist, 162-2189, (1999), 27–32.

    Google Scholar 

  19. H. Natsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matouka, Observation of bifurcation to chaos in an all-optical bistable system, Phys. Rev. Lett. 50, (1983), 109–112.

    Article  Google Scholar 

  20. K. Ogusu, A.L. Steele, J.E. Hoad, and S. Lynch, Corrections to and comments on “Dynamic behavior of reflection optical bistability in a nonlinear fiber ring resonator”, IEEE J. Quantum Electron., 33, (1997), 2128–2129.

    Article  Google Scholar 

  21. T. Schneider, Nonlinear Optics in Telecommunications, Springer-Verlag, New York, 2004.

    Book  Google Scholar 

  22. S.D. Smith, Towards the optical computer, Nature 307, 26 January, (1984), 315–316.

    Google Scholar 

  23. P.W. Smith and E.H. Turner, Appl. Phys. Lett 30, (1977), 280–281.

    Google Scholar 

  24. A.L. Steele, S. Lynch, and J.E. Hoad, Analysis of optical instabilities and bistability in a nonlinear optical fiber loop mirror with feedback, Optics Comm. 137, (1997), 136–142.

    Article  Google Scholar 

  25. A. Szöke, V. Daneu, J. Goldhar, and N.A. Kirnit, Bistable optical element and its applications, Appl. Phys. Lett. 15, (1969), 376.

    Article  Google Scholar 

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Lynch, S. (2018). Electromagnetic Waves and Optical Resonators. In: Dynamical Systems with Applications using Python. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-78145-7_16

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