Abstract
By means of a generalization to multiply connected regions of the integral equations derived from the second Green’s identity, and particularly the extinction theorem, we establish an exact numerical method that can account for the interaction of the near field scattered by a rough surface or grating under study with a local probe. We illustrate results of both the near field distribution and the reflectance of light scattered from the object surface after interaction with either metallic or dielectric detecting tips. Also, the influence on surface plasmons is analysed in terms of the tip dielectric constant, its distance to the test sample, and of its diameter.
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Keywords
- Scanning Near Field Optical Microscopy
- Lower Order Mode
- Mueller Matrix
- Conducting Cylinder
- Random Rough Surface
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References
A. Sommerfeld, Lectures on Theoretical Physics, Vol. 6, (Academic press, New York, 1964), Ch. 6; Ann. Phys. (Leipzig) 28, 665 (1909); Ann. Phys. (Leipzig) 81, 1135 (1926).
J.A. Stratton, Electromagnetic Theory, (Mc Graw Hill, New York, 1941), Ch. 9.
A. Banos, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon Press, Oxford, 1966).
T. C. Rao and R. Barakat, “Plane wave scattering by a conducting cylinder partially buried in a ground plane. 1. TM case”, J. Opt. Soc. Am. A 6, 1270–1280 (1989); “Plane wave scattering by a conducting cylinder partially buried in a ground plane. 2. TE case”, J. Opt. Soc. Am. 8, 1986–1990 (1991).
G. Videen, “Light scattering from a sphere on or near a surface”, J. Opt. Soc. Am. A 8, 483–489 (1991); “Light scattering from a sphere behind a surface”, J. Opt. Soc. Am. A 10, 110–117 (1993); G. Videen, W.S. Bickel, V.J. Iafelice and D. Abromson, “Experimental light scattering Mueller matrix for a fiber on a reflecting optical surface as a function of incidence angle”, J. Opt. Soc. Am. A 9, 312–315 (1992); G. Videen, M.G. Turner, V.J. Iafelice, W.S. Bickel and W.L. Wolfe, “Scattering from a small sphere near a surface”, J. Opt. Soc. Am. A 10, 118–126 (1993).
I.V. Lindell, A.H. Sihvola, K.O. Muinonen and P. Barber, “Scattering by a small object close to an interface. I. Exact image theory formulation”, J. Opt. Soc. Am. A 8, 472–476 (1991).
K.O. Muinonen, A.H. Sihvola, I.V. Lindell and K.A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering” J. Opt. Soc. Am. A 8, 477–482 (1991).
M. A. Taubenblatt and T.K. Tran, “Calculation of light scattering from particles and structures on a surface by the coupled-dipole method”, J. Opt. Soc. Am. A 10, 912–919 (1993).
P.J. Valle, F. Gonzalez and F. Moreno, “Electromagnetic wave scattering from conducting cylindrical structures on flat substrates” Appl. Opt. 33, 512–523 (1994).
F. Pincemin, A. Sentenac and J.J. Greifet, “Near field scattered by a dielectric rod below a metallic surface” J. Opt. Soc. Am. A 11, 1117–1127 (1994).
G. Videen, W.L. Wolfe and W.S. Bickel, “Light scattering Mueller matrix for a surface contaminated by a single particle in the Rayleigh limit”, Appl. Opt. 31, 341–349 (1992).
D.W. Pohl, “Scanning near field optical microscopy (SNOM)” in Advances in Optical and Electron Microscopy, J.R. Sheppard and T. Mulvey, eds., (Academic Press, New York, 1990), p. 243.
D. W. Pohl and D. Courjon, eds, Near Field Optics, NATO ASI Series, Vol. 242, Kluwer, Dordrecht, 1993.
C. Girard and D. Courjon, “Model for scanning tunneling optical microscopy: A microscopic self-consistent approach”, Phys. Rev. B 42, 9340–9349 (1990).
B. Labani, C. Girard, D. Courjon and D. Van Labeke, “Optical interaction between a dielectric tip and a nanometric lattice: implications for near field microscopy”, J. Opt. Soc. Am. B 7, 936–943 (1990).
D. Van Labeke and D. Barchiesi, “Scanning tunneling optical microscopy: A theoretical macroscopic approach”, J. Opt. Soc. Am. A 9, 732–739 (1992).
P. A. Bobbert and J. Vlieger, “Light scattering by a sphere on a substrate”, Physica 137 A, 209–242 (1986).
K. Nahm and W.L. Wolfe, “Light scattering models for spheres on a conducting plane: comparison with experiment” Appl. Opt. 26, 2995–2999 (1987).
H.C. Van de Hulst, Light Scattering by Small Particles, (Dover, New York, 1981).
M. Kerker, The Scattering of Light and other Electromagnetic Radiation, (Academic Press, New York, 1969).
M. Nieto-Vesperinas and J.M. Soto-Crespo, “Monte Carlo simulations for the scattering of electromagnetic waves from perfectly conductive random rough surfaces”, Opt. Lett. 12, 979–981 (1987); “Electromagnetic scattering from very rough random surfaces and deep reflection gratings”, J. Opt. Soc. Am. A 6, 367–384 (1989); J.A. Sanchez-Gil and M. Nieto-Vesperinas, “Light scattering from random rough dielectric surfaces”, J. Opt. Soc. Am. 8, 1270–1286 (1991).
A.A. Maradudin, T. Michel, A.R. Mc Gurn and E.R. Mendez, “Enhanced backscattering of light from a random grating”, Ann. Phys. (New York) 203, 255–307 (1990).
M. Nieto-Vesperinas and J.C. Dainty, eds. Scattering in Volumes and Surfaces, North-Holland, Amsterdam, 1991.
D.N. Pattanayak and E. Wolf, “General form and a new interpretation of the Ewald-Oseen extinction theorem”, Opt. Comm. 6, 217–220 (1972).
M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics, (J. Wiley, New York, 1991). Chs. 1 and 7.
L. Tsang, Ch. H. Chan and K. Pak, “Backscattering enhancement of a two-dimensional random rough surface (three-dimensional scattering) based on Monte Carlo simulations”, J. Opt. Soc. Am. A 11, 711–715 (1994).
P. Tran, V. Celli and A. A. Maradudin, “Electromagnetic scattering from a two-dimensional, randomly rough, perfectly conducting surface: iterative methods”, J. Opt. Soc. Am. A 11, 1686–1689 (1994).
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Nieto-Vesperinas, M., Madrazo, A. (1995). A Theoretical Study of Near Field Interactions with Local Probes. In: Marti, O., Möller, R. (eds) Photons and Local Probes. NATO ASI Series, vol 300. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0423-4_3
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DOI: https://doi.org/10.1007/978-94-011-0423-4_3
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