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A Numerical Study of a Model Near-Field Optical Microscope

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Book cover Optics at the Nanometer Scale

Part of the book series: NATO ASI Series ((NSSE,volume 319))

Abstract

We study a two-dimensional model of the scattering of p- and s-polarized light, emitted by a coated tapered glass fiber, from a metal surface with a topographic or an optical defect. We calculate the intensity of the scattered electromagnetic field at the center of the bottom of the fiber, and the integrated intensity of the field scattered back through the fiber, as it is moved at constant height above the perturbed metal surface. The position and width of surface defects can be determined from these calculations with subwavelength resolution, although the intensities bear no simple relation to the surface scanned.

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References

  1. Nieto-Vesperinas, M. and Soto-Crespo, J. M. (1987) Monte Carlo Simulations for Scattering of Electromagnetic Waves From Perfectly Conductive Random Rough Surfaces, Optics Lett 12, 979–981.

    Article  ADS  Google Scholar 

  2. Maradudin, A. A., Méndez, E. R., and Michel, T. (1989) Backscattering Effects in the Elastic Scattering of P-Polarized Light From a Large Amplitude Random Metallic Grating, Optics Lett. 14 151–153.

    Article  ADS  Google Scholar 

  3. García, N. arid Nieto-Vesperinas, M. (1993) Near-Field Optics Inverse-Scattering Reconstruction of Reflective Surfaces, Optics Lett 18, 2090–2032.

    Article  ADS  Google Scholar 

  4. García, N. and Nieto-Vesperinas, M. (1995) Direct Solution to the Inverse Scattering Problem for Surfaces From Near-Field Intensities Without Phase Retrieval, Optics Lett 20, 949–951.

    Article  ADS  Google Scholar 

  5. Carminati, R. and Greffet, J.-J. (1995) Numerical Simulation of the Photon Scanning Tunneling Microscope, Optics Commun. 116, 316–321.

    Article  ADS  Google Scholar 

  6. Leskova, T. A., Maradudin A. A., and Méndez, E. R. (1996) Reconstruction of Surface Profiles From Scattering Data, paper 7 presented in Session FBI of the National Radio Science Meeting, Boulder, Colorado, January 9–13.

    Google Scholar 

  7. Maradudin, A. A., Michel, T., McGurn, A. R., and Méndez, TE.~R. (1990) Enhanced Backscattering of Light From a Random Grating, Ann. Phys. (N. Y.) 203, 255–307.

    Article  ADS  Google Scholar 

  8. Danese, A. E. (1965) Advanced Calculus, Vol. 1., Allyn and Bacon, Inc., Boston, p. 123.

    Google Scholar 

  9. Mendoza-Suárez, A. and Méndez, E. R. (1995) Light Scattering by Reentrant One-Dimensional Surfaces, submitted to J. Opt. Soc. Am. A

    Google Scholar 

  10. Garcia-Molina, R., Maradudin, A. A., and Leskova, T. A. (1990) The Impedance Boundary Condition for a Curved Surface, Phys. Repts. 194, 351–359.

    Article  ADS  Google Scholar 

  11. Mendoza-Suárez, A. and Méndez, E. R. (1995) An Impedance Boundary Condition for Multivalued Surface Profiles, in preparation for Optics Commun.

    Google Scholar 

  12. Rayleigh, Lord (1896) The Theory of Sound, Vol. II, 2nd ed. Macmillan, London, pp. 89, 96.

    MATH  Google Scholar 

  13. Rayleigh, Lord (1907) On the Dynamical Theory of Gratings, Proc. Roy. Soc. London, Ser. A 79, 399–416

    Google Scholar 

  14. Burstein, E. Hartstein, A., Schoenwald, J., Maradudin, A. A., Mills, D. L., and WalHs, R. F. (1974) Surface Polaritons-Electromagnetic Waves at Interfaces, in E. Burstein and F. de Martini (eds.), Polaritons, Pergamon, New York, pp. 89–108

    Google Scholar 

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© 1996 Kluwer Academic Publishers

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Maradudin, A.A., Mendoza-Suárez, A., Méndez, E.R., Nieto-Vesperinas, M. (1996). A Numerical Study of a Model Near-Field Optical Microscope. In: Nieto-Vesperinas, M., García, N. (eds) Optics at the Nanometer Scale. NATO ASI Series, vol 319. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0247-3_3

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  • DOI: https://doi.org/10.1007/978-94-009-0247-3_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6594-8

  • Online ISBN: 978-94-009-0247-3

  • eBook Packages: Springer Book Archive

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