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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 7 — Jul. 1, 1998
  • pp: 1918–1931

Boundary integral equations for a two-dimensional simulator of a photon scanning tunneling microscope

Kazuo Tanaka, Masahiro Tanaka, and Tetsuya Omoya  »View Author Affiliations


JOSA A, Vol. 15, Issue 7, pp. 1918-1931 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001918


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Abstract

Boundary integral equations called guided-mode extracted integral equations are applied to simulations of a two-dimensional photon scanning tunneling microscope (2D-PSTM) for an incident TE mode (s polarization). The method presented is global. Complete and rigorous integral equations for a given configuration of the 2D-PSTM are derived. They can be solved numerically by the conventional boundary-element method with high accuracy. To confirm numerical results, three universal laws, i.e., the optical theorem, the energy conservation law, and the reciprocity relation, are derived. Physical characteristics of the interaction between the probe tip and the near field are investigated in detail by using numerical simulations. Many important and interesting physical properties of the 2D-PSTM can be simulated in detail by using the proposed method.

© 1998 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(180.5810) Microscopy : Scanning microscopy
(260.2110) Physical optics : Electromagnetic optics
(260.6970) Physical optics : Total internal reflection

History
Original Manuscript: October 16, 1997
Revised Manuscript: January 27, 1998
Manuscript Accepted: February 2, 1998
Published: July 1, 1998

Citation
Kazuo Tanaka, Masahiro Tanaka, and Tetsuya Omoya, "Boundary integral equations for a two-dimensional simulator of a photon scanning tunneling microscope," J. Opt. Soc. Am. A 15, 1918-1931 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-7-1918

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