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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. 22, Iss. 1 — Jan. 1, 2005
  • pp: 168–173

Influence of total reflection on the imaging quality of optical systems

Antonin Miks, Jiri Novak, and Pavel Novak  »View Author Affiliations


JOSA A, Vol. 22, Issue 1, pp. 168-173 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000168


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Abstract

In the case of total reflection at a boundary surface between two different optical media, the ray reflected at the boundary is spatially shifted with respect to the point where the incident ray intersects the boundary. The light penetrates into the second medium, and the evanescent electromagnetic wave propagates along the boundary. The described effect is called the Goos-Hänchen effect. Our work describes the influence of the Goos-Hänchen effect on the imaging properties of planar optical systems, and a differential equation of a wave-front meridian that corresponds to a reflected bundle of rays is derived. It is shown that the wave front can be described by the d'Alambert differential equation. This equation makes it possible to determine the coordinates of individual points on the wave-front meridian. The influence of total reflection on the value of the Strehl definition of the reflected ray bundle, is also investigated.

© 2005 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(100.2960) Image processing : Image analysis
(110.3000) Imaging systems : Image quality assessment
(220.1010) Optical design and fabrication : Aberrations (global)
(260.2110) Physical optics : Electromagnetic optics
(260.6970) Physical optics : Total internal reflection

Citation
Antonin Miks, Jiri Novak, and Pavel Novak, "Influence of total reflection on the imaging quality of optical systems," J. Opt. Soc. Am. A 22, 168-173 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-1-168


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1968).
  2. R. H. Renard, "Total reflection: a new evaluation of the Goos-Hänchen shift," J. Opt. Soc. Am. 54, 1190-1197 (1964).
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  9. A. Miks, "Dependence of the wave-front aberration on the radius of the reference sphere," J. Opt. Soc. Am. A 19, 1187-1190 (2002).

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