Optical Review

, 3:458

Representations and transforms of vector field as the basis of near-field optics

  • Tetsuya Inoue
  • Hirokazu Hori

DOI: 10.1007/BF02932047

Cite this article as:
Inoue, T. & Hori, H. Optical Review (1996) 3: 458. doi:10.1007/BF02932047


We report the novel mathematical description of the vector mode functions which provide a useful basis for theoretical treatment of near-field optical microscope and related phenomena. The vector planar, spherical, and cylindrical mode functions and transforms are formulated on the bases of spatial rotational functions and angular spectrum representations. It is demonstrated that the formulation provides the bases to evaluate the range and locality of optical near-field interaction of sub-wavelength sized matter with an example of electric dipole interaction.

Key words

near-field optics near-field optical microscope vector mode function rotational function angular spectrum 

Copyright information

© The Optical Society of Japan 1996

Authors and Affiliations

  • Tetsuya Inoue
    • 1
  • Hirokazu Hori
    • 2
  1. 1.Department of Information and Communication StudiesYamanashi Eiwa CollegeKofuJapan
  2. 2.Department of Electronics and Computer ScienceYamanashi UniversityKofuJapan

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