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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 25 — Sep. 1, 1992
  • pp: 5197–5200

Analytical expressions for the paraxial parameters of a single lens with a spherical distribution of refractive index

Sead Dorić and Nathalie Renaud  »View Author Affiliations


Applied Optics, Vol. 31, Issue 25, pp. 5197-5200 (1992)
http://dx.doi.org/10.1364/AO.31.005197


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Abstract

The concept of isoindicial surfaces and position variables is used to develop analytical expressions for the effective focal length and back focal length of a single gradient lens with a spherical distribution of refractive index, where the square of the refractive index is a quadratic function of the distance from the center of symmetry.

© 1992 Optical Society of America

History
Original Manuscript: September 25, 1991
Published: September 1, 1992

Citation
Sead Dorić and Nathalie Renaud, "Analytical expressions for the paraxial parameters of a single lens with a spherical distribution of refractive index," Appl. Opt. 31, 5197-5200 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-25-5197


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References

  1. E. Marchand, Gradient Index Optics (Academic, New York, 1978).
  2. S. Dorić, “Ray tracing through gradient-index media: recent improvements,” Appl. Opt. 29, 4026–4029 (1990). [CrossRef]
  3. E. Marchand, Gradient Index Optics (Academic, New York, 1978), Chap. 10, p. 120.
  4. I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, San Diego, Calif., 1980), Chap. 1, p. 49, formulas (4) and (5).
  5. Reference 4, Chap. 1, p. 50, formulas (1), (4), and (5).

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