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Applied Optics

Applied Optics


  • Vol. 22, Iss. 3 — Feb. 1, 1983
  • pp: 391–395

Ray-trace aberrations of curved graded-index media

Aruna Rohra  »View Author Affiliations

Applied Optics, Vol. 22, Issue 3, pp. 391-395 (1983)

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Numerical studies of ray-trace aberrations of a curved graded-index medium as a function of launching conditions and refractive-index profile are reported. The variation of meridional and skew ray aberrations with the launching angle for specific point objects shows that the axis of symmetry of the medium shifts on curving. Further, the aberrations of rays emanating from a point object increase or decrease with curvature, depending on the position of the object point with respect to the new axis of symmetry.

© 1983 Optical Society of America

Original Manuscript: June 30, 1982
Published: February 1, 1983

Aruna Rohra, "Ray-trace aberrations of curved graded-index media," Appl. Opt. 22, 391-395 (1983)

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  1. A. Gupta, K. Thyagarajan, I. C. Goyal, A. K. Ghatak, J. Opt. Soc. Am. 66, 1320 (1976). [CrossRef]
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  13. Throughout the calculations we have considered rays launched either in the plane of curvature, ζ-ξ plane, or in the plane perpendicular to it, the η-ξ plane. The rays launched in the ζ-ξ plane are referred to as the meridional rays, whereas those launched in the η-ξ plane are referred to as the skew rays. The launching angle γ is therefore related to the initial direction cosine of the ray through the relation [(dζ)/(dξ)]ξ=0 = tanγ or [(dη)/(dξ)]ξ=0 = tanγ.
  14. We have not plotted Δζ for the skew rays as it was very small, ~10−4 cm.
  15. Once again Δζ for the skew rays was too small (~10−5 cm) to be plotted.
  16. For an axial object point, since ζ-ξ and η-ξ would be equivalent planes, one would expect that a ray launched in the η-ξ plane should not have a ζ component of aberration and that its aberration in the η direction should be the same as the aberration along the ζ direction of a ray launched in the ζ-ξ plane. However, in this case, although the axis of symmetry has shifted effectively, the curvature is still in the ζ-ξ plane only, and hence ζ-ξ and η-ξ planes are not completely equivalent, even for a point at the new axis of symmetry.

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