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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. 12 — Dec. 1, 1998
  • pp: 3009–3015

Focusing of electromagnetic waves through a dielectric interface by lenses of finite Fresnel number

Peter Török  »View Author Affiliations


JOSA A, Vol. 15, Issue 12, pp. 3009-3015 (1998)
http://dx.doi.org/10.1364/JOSAA.15.003009


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Abstract

The problem of vectorial diffraction of electromagnetic waves is addressed. An integral representation is obtained for a possibly high-aperture, finite-Fresnel-number lens and a homogeneous medium of propagation. The solution is given in terms of coherent superposition of plane electromagnetic waves with position coordinates scaled with the well-known Li–Wolf scaling factor [J. Opt. Soc. Am. A 1, 801 (1984)]. This integral representation is then used to obtain formulas for the case in which light is focused through a plane dielectric interface. The solution is given by the linear combination of three functions, each of which consists of only a single integral. The aberration function, representing spherical aberration, is shown to be analytical. Numerical examples are given to demonstrate the effectiveness of the solution.

© 1998 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: May 4, 1998
Manuscript Accepted: September 10, 1998
Published: December 1, 1998

Citation
Peter Török, "Focusing of electromagnetic waves through a dielectric interface by lenses of finite Fresnel number," J. Opt. Soc. Am. A 15, 3009-3015 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-3009

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