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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: 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)
http://dx.doi.org/10.1364/JOSAA.17.002090


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Abstract

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

Citation
Peter Varga and Peter Török, "Focusing of electromagnetic waves by paraboloid mirrors. II. Numerical results," J. Opt. Soc. Am. A 17, 2090-2095 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-11-2090


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References

  1. P. Varga and P. Török, “Focusing of electromagnetic waves by paraboloid mirrors. I. Theory,” J. Opt. Soc. Am. A 17, 2081–2089 (2000).
  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, and J. Gannaway, “Electromagnetic field near the focus of wide-angular lens and mirror systems,” Microwave Opt. Acoust. 1, 129–132 (1977).
  6. Y. Li and E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers,” J. Opt. Soc. Am. A 1, 801–808 (1984).

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