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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. 17, Iss. 11 — Nov. 1, 2000
  • pp: 2081–2089

Focusing of electromagnetic waves by paraboloid mirrors. I. Theory

Peter Varga and Peter Török  »View Author Affiliations


JOSA A, Vol. 17, Issue 11, pp. 2081-2089 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002081


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Abstract

We derive a solution to the problem of a plane electromagnetic wave focused by a parabolic mirror. The solution is obtained from the Stratton–Chu integral by solving a boundary-value problem. Our solution can be considered self-consistent. We also derive the far-field, i.e., Debye, approximation of our formulas. The solution shows that when the paraboloid is infinite, its focusing properties exhibit a dispersive behavior; that is, the structure of the field distribution in the vicinity of the focus strongly depends on the wavelength of the illumination. We show that for an infinite paraboloid the confinement of the focused energy worsens, with the energy distribution spreading in the focal plane.

© 2000 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization

History
Original Manuscript: December 10, 1999
Revised Manuscript: April 27, 2000
Manuscript Accepted: April 27, 2000
Published: November 1, 2000

Citation
Peter Varga and Peter Török, "Focusing of electromagnetic waves by paraboloid mirrors. I. Theory," J. Opt. Soc. Am. A 17, 2081-2089 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-11-2081

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