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Leaky rays

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Optical Waveguide Theory

Abstract

So far in our ray description of light propagation we have concentrated mainly on bound rays, which convey power without loss along nonabsorbing optical waveguides, and have assumed that refracting and tunneling rays are associated with a loss of power by radiation. In this chapter we describe the physical mechanisms of power loss by refraction or tunneling, and derive expressions for the rate of loss of power.

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References

  1. Snyder, A. W. (1974) Leaky-ray theory of optical waveguides of circular cross-section. Appl. Phys., 4, 273–98.

    Article  Google Scholar 

  2. Snyder, A. W. and Love, J. D. (1974) Tunnelling leaky rays on optical waveguides. Opt. Commun., 12, 326–8.

    Article  Google Scholar 

  3. Love, J. D., Pask, C. and Winkler, C. (1979) Rays and modes on step-index multimode elliptical waveguides. Micro waves, Opt. Acoust., 3, 231–8.

    Article  Google Scholar 

  4. Snyder, A. W. and Love, J. D. (1975) Reflection at a curved dielectric interface-electromagnetic tunnelling. I.E.E.E. Trans. Microwave Theory Tech. 23, 134–41.

    Article  Google Scholar 

  5. Snyder, A. W. and Love, J. D. (1976) Attenuation coefficient for tunnelling leaky rays in graded fibers. Electron. Lett., 12, 324–6.

    Article  Google Scholar 

  6. Born, M. and Wolf, E. (1970) Principles of Optics, Pergamon Press, Oxford, p. 40.

    Google Scholar 

  7. Snyder, A. W. and Mitchell, D. J. (1974) Generalized Fresnel’s laws for determining radiation loss from optical waveguides and curved dielectric structures. Optik, 40, 438–59.

    Google Scholar 

  8. Love, J. D. and Winkier, C. (1978) Refracting leaky rays in graded-index fibers. Appl. Opt., 17, 2205–8.

    Article  Google Scholar 

  9. Love, J. D. and Snyder, A. W. (1975) Fresnel’s and Snell’s laws for the multimode optical waveguide of circular cross-section. J. Opt. Soc. Am., 65, 1241–7.

    Article  Google Scholar 

  10. Pask, C. (1975) On the neglect of refracting rays in optical power calculations. Opt. Quant. Elect., 7, 428–9.

    Article  Google Scholar 

  11. Kapany, N. S. and Burke, J. J. (1972) Optical Waveguides, Academic Press, New York.

    Google Scholar 

  12. Stewart, W. J. (1975) Leaky modes in graded fibers. Electron. Lett., 11, 321–2.

    Article  Google Scholar 

  13. Adams, M. J., Payne, D. N. and Sladen, F. M. E. (1975) Leaky rays on optical fibers of arbitrary (circularly symmetric) index profiles. Electron. Lett., 11, 238–40.

    Article  Google Scholar 

  14. Love, J. D. and Winkler, C. (1977) Attenuation and tunnelling coefficients for leaky rays in multilayered optical waveguide. J. Opt. Soc. Am., 67, 1627–33.

    Article  Google Scholar 

  15. Love, J. D. and Winkler, C. (1978) The step index limit of power law refractive index profiles for optical waveguides. J. Opt. Soc. Am., 68, 1188–91.

    Article  Google Scholar 

  16. Love, J. D. and Winkler, C. (1978) A universal tunnelling coefficient for step-and graded-index multimode fibers. Opt. Quant. Elect., 10, 341–51.

    Article  Google Scholar 

  17. Abramowitz, M. and Stegun, I. A. (1972) Handbook of Mathematical Functions, Dover, New York, p. 448.

    MATH  Google Scholar 

  18. Ramskov Hansen, J. J., Ankiewicz, A. and Adams, M. J. (1980) Attenuation of leaky modes in graded noncircular multimode fibers. Electron Lett., 16, 94–6.

    Article  Google Scholar 

  19. Love, J. D. and Winkler, C. (1980) Generalized Fresnel power transmission coefficients for curved graded-index media. I.E.E.E. Trans. Microwave Theory Tech., 28, 689–94.

    Article  Google Scholar 

  20. Jones, D. S. (1978) Electromagnetic tunnelling. Quart. J. Mech. Appl. Math., 31, 409–34.

    Article  MathSciNet  Google Scholar 

  21. Love, J. D. and Winkler, C. (1978) The effects of material absorption on ray power attenuation in multi-layered optical waveguides. Opt, Quant. Elect., 10, 383–92.

    Article  Google Scholar 

  22. Love, J. D. and Snyder, A. W. (1975) Generalized Fresnel’s laws for a curved absorbing interface. J. Opt. Soc. Am., 65, 1072–4.

    Article  Google Scholar 

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© 1983 Allan W. Snyder and John D. Love

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Snyder, A.W., Love, J.D. (1983). Leaky rays. In: Optical Waveguide Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2813-1_8

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  • DOI: https://doi.org/10.1007/978-1-4613-2813-1_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-412-24250-2

  • Online ISBN: 978-1-4613-2813-1

  • eBook Packages: Springer Book Archive

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