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Light Penetration through a Tapered Waveguide

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Journal of Russian Laser Research Aims and scope

Abstract

An approximate pattern of calculation of the field behavior in waveguides of variable radius is proposed. It is based on the assumption of a slow dependence of the radius on the longitudinal coordinate and is reduced to the solution of an ordinary differential equation. The dependences of the waveguide transmission on the frequency of radiation, entrance and exit radii, as well as the rate of radius variation along the axis are studied. The analysis is carried out within the range of parameters typical for optical fibers used in optical near‐field microscopy. It is shown that the increase in the rate of radius variation with the longitudinal coordinate will cause the transmission coefficient of the tapered waveguide to increase.

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References

  1. E. H. Synge, Philos. Mag., 6, 356 (1928).

    Google Scholar 

  2. D. W. Pohl, W. Denk, and M. Lanz, Appl. Phys. Lett., 44, 651 (1994).

    Article  ADS  Google Scholar 

  3. A. Lewis, M. Isaacson, A. Harootunian, and M. Murray, Ultramicroscopy, 13, 227 (1984).

    Article  Google Scholar 

  4. E. Betzig, J. K. Trautman, T. D. Harris, et al., Science, 251, 1468 (1991).

    ADS  Google Scholar 

  5. A. J. Meixner, D. Zeisel, M. A. Bopp, and G. Tarrach, Opt. Eng., 34, 2324 (1995).

    Article  ADS  Google Scholar 

  6. M. Tang, S. M. Cai, and Z. F. Liu, Opt. Commun., 146, 21 (1998).

    Article  ADS  Google Scholar 

  7. S. T. Jung, D. J. Shin, and Y. H. Lee, Appl. Phys. Lett., 77, 2638 (2000).

    Article  ADS  Google Scholar 

  8. A. Harootunian, E. Betzig, M. S. Isaacson, and A. Lewis, Appl. Phys. Lett., 49, 674 (1986).

    Article  ADS  Google Scholar 

  9. A. Lewis, U. Ben-Ami, N. Kuck, et al., Scanning, 17, 3 (1995).

    Article  Google Scholar 

  10. A. V. Bragas, S. M. Landi, and O. E. Martinez, Appl. Phys. Lett., 72, 2075 (1998).

    Article  ADS  Google Scholar 

  11. L. Aigouy, A. Lahrech, S. Gresillon, et al., Opt. Lett., 24, 187 (1999).

    ADS  Google Scholar 

  12. L. A. Vainstein, Electromagnetic Waves [in Russian], Radio i Svyaz', Moscow (1988).

    Google Scholar 

  13. V. V. Klimov and Ya. A. Perventsev, Quantum Électron., 29, 847 (1999).

    Article  ADS  Google Scholar 

  14. V. S. Zuev and T. I. Kuznetsova, Kvantovaya Électron., 24, 462 (1997).

    Google Scholar 

  15. K. Rawer, Ann. Physik., 35, 385 (1939); ibid., 42, 294 (1942).

    MATH  ADS  Google Scholar 

  16. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, Oxford (1977).

    Google Scholar 

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Authors and Affiliations

  1. Russian Academy of Sciences, P. N. Lebedev Physical Institute, Leninskii Pr. 53, Moscow, 117924, Russia

    T. I. Kuznetsova & V. S. Lebedev

Authors
  1. T. I. Kuznetsova
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  2. V. S. Lebedev
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Kuznetsova, T.I., Lebedev, V.S. Light Penetration through a Tapered Waveguide. J Russ Laser Res 22, 123–138 (2001). https://doi.org/10.1023/A:1011355905164

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