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Boundary-value problems in near-field optical microscopy and optical size resonances

  • Atoms, Spectra, Radiation
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Abstract

We have solved a boundary-value problem for a ball probe interacting with a flat dielectric surface in an external optical radiation field. This interaction gives rise to the optical size resonance at frequencies significantly different from the natural frequencies of two-level atoms both in the medium and in the probe with allowance for the local field corrections. These resonances depend significantly on the distance from the probe center to the surface, on the ball probe size, on the concentration of two-level atoms in the probe and in the medium, on the spectral line width, and on the atomic inversion. The field strengths inside and outside the ball probe and a semiinfinite dielectric medium have been calculated in the near-field and wave zones. It is shown that the proposed electrodynamic theory of optical near-field microscopy agrees with the results of experimental measurements.

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References

  1. R. Hillenbrand and F. Keilmann, Appl. Phys. Lett. 80, 25 (2002).

    Article  ADS  Google Scholar 

  2. M. Speht, J. D. Pedaring, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).

    ADS  Google Scholar 

  3. B. Knoll and F. Keilmann, Nature 399, 134 (1999).

    Article  Google Scholar 

  4. W. L. Barnes, J. Mod. Opt. 45, 661 (1998).

    ADS  Google Scholar 

  5. L. Salomon, F. De Fornel, and J. P. Goudonnet, J. Opt. Soc. Am. A 8, 2009 (1991).

    ADS  Google Scholar 

  6. W. Denk and D. W. Pohl, J. Vac. Sci. Technol. B 9, 510 (1991).

    Article  Google Scholar 

  7. D. Van Lebeke and D. Barchiesi, J. Opt. Soc. Am. A 9, 732 (1992).

    ADS  Google Scholar 

  8. S. Berntsen, E. Bozhevolnaya, and S. Bozhevolnyi, J. Opt. Soc. Am. A 10, 878 (1993).

    ADS  Google Scholar 

  9. B. Labani, C. Girard, D. Courjon, and D. Van Lebeke, J. Opt. Soc. Am. B 7, 936 (1990).

    ADS  Google Scholar 

  10. C. Girard and X. Bouju, J. Chem. Phys. 95, 2056 (1991).

    ADS  Google Scholar 

  11. C. Girard and X. Bouju, J. Opt. Soc. Am. B 9, 298 (1992).

    ADS  Google Scholar 

  12. C. Girard and D. Courjon, Phys. Rev. B 42, 9340 (1990).

    Article  ADS  Google Scholar 

  13. C. Girard, Appl. Opt. 31, 5380 (1992).

    ADS  Google Scholar 

  14. C. Girard and M. Sparjes, Appl. Opt. 29, 3726 (1990).

    ADS  Google Scholar 

  15. O. N. Gadomskii, Usp. Fiz. Nauk 170, 1145 (2000) [Phys. Usp. 43, 1071 (2000)].

    Google Scholar 

  16. O. N. Gadomskii and T. T. Idiatullov, Zh. Éksp. Teor. Fiz. 119, 1222 (2001) [JETP 92, 1060 (2001)].

    Google Scholar 

  17. O. N. Gadomskii and Yu. V. Abramov, Opt. Spektrosk. 93, 953 (2002) [Opt. Spectrosc. 93, 879 (2002)].

    Google Scholar 

  18. O. N. Gadomskii and K. Yu. Moiseev, Opt. Spektrosk. 92, 613 (2002) [Opt. Spectrosc. 92, 560 (2002)].

    Google Scholar 

  19. O. Keller, M. Xiao, and S. Bozhevolnyi, Surf. Sci. 280, 217 (1993).

    Article  Google Scholar 

  20. M. Xiao, S. Bozhevolnyi, and O. Keller, Appl. Phys. A 62, 115 (1996).

    ADS  Google Scholar 

  21. V. M. Fain and Ya. I. Khanin, Quantum Radiophysics (Sovetskoe Radio, Moscow, 1965), p. 562.

    Google Scholar 

  22. A. N. Oraevskii, Molecular Generators (Nauka, Moscow, 1964).

    Google Scholar 

  23. A. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975; Mir, Moscow, 1993).

    Google Scholar 

  24. G. P. Agrawal and N. K. Dutta, Semiconductor Lasers (Van Nostrand, New York, 1993).

    Google Scholar 

  25. A. N. Oraevskii, M. Skalli, and V. L. Velichanskii, Kvantovaya Élektron. (Moscow) 25, 211 (1998).

    Google Scholar 

  26. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, (Fizmatgiz, Moscow, 1963; Pergamon, New York, 1977).

    Google Scholar 

  27. R. Hillenbrand, T. Taubner, and F. Keilmann, Nature 418, 159 (2002).

    Article  ADS  Google Scholar 

  28. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Oxford, 1969; Nauka, Moscow, 1973).

    Google Scholar 

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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 124, No. 3, 2003, pp. 516–528.

Original Russian Text Copyright © 2003 by Gadomsky, Kadochkin.

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Gadomsky, O.N., Kadochkin, A.S. Boundary-value problems in near-field optical microscopy and optical size resonances. J. Exp. Theor. Phys. 97, 466–478 (2003). https://doi.org/10.1134/1.1618333

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  • DOI: https://doi.org/10.1134/1.1618333

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