OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 11 — Nov. 1, 2000
  • pp: 2090–2095

Focusing of electromagnetic waves by paraboloid mirrors. II. Numerical results

Peter Varga and Peter Török  »View Author Affiliations

JOSA A, Vol. 17, Issue 11, pp. 2090-2095 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (832 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present results of numerical computations obtained from a theory described in Part 1 of our current investigations [J. Opt. Soc. Am. A 17, 2081 (2000)]. We show that a segment of a paraboloid mirror produces an intensity distribution identical to that of a high-aperture lens. It is shown that when the convergence angle of the paraboloid is increased beyond the π/2 limit, the lateral resolution in the direction orthogonal to the incident polarization improves, whereas in the other direction the resolution worsens. Numerical results show that paraboloid mirrors of high convergence angle exhibit dispersion; that is, when the focal length is altered by a quarter of the wavelength the intensity in the focus changes from its maximum to its minimum value. A focal shift is observed that, in the case of a paraboloid of low convergence angle is identical to the Fresnel shift. However, a focal shift is also observed at large convergence angles.

© 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

Original Manuscript: February 16, 2000
Revised Manuscript: June 26, 2000
Manuscript Accepted: June 26, 2000
Published: November 1, 2000

Peter Varga and Peter Török, "Focusing of electromagnetic waves by paraboloid mirrors. II. Numerical results," J. Opt. Soc. Am. A 17, 2090-2095 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Varga, P. Török, “Focusing of electromagnetic waves by paraboloid mirrors. I. Theory,” J. Opt. Soc. Am. A 17, 2081–2089 (2000). [CrossRef]
  2. V. S. Ignatowsky, “Diffraction by a paraboloid mirror with arbitrary aperture,” Trans. Opt. Inst. 1, 1–30 (1920).
  3. V. S. Ignatowsky, “The relationship between geometrical and wave optics and diffraction of homocentrical beams,” Trans. Opt. Inst. 1(3), 1–30 (1920).
  4. V. S. Ignatowsky, “Diffraction by an objective lens of arbitrary aperture,” Trans. Opt. Inst. 1(4), 1–30 (1919).
  5. C. J. R. Sheppard, A. Choudhury, J. Gannaway, “Electromagnetic field near the focus of wide-angular lens and mirror systems,” Microwave Opt. Acoust. 1, 129–132 (1977). [CrossRef]
  6. Y. Li, E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers,” J. Opt. Soc. Am. A 1, 801–808 (1984). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited