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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 8 — Aug. 1, 2003
  • pp: 1600–1607

Sommerfeld revisited: a new approach to the third-order Seidel aberrations

Giulio Pozzi  »View Author Affiliations

JOSA A, Vol. 20, Issue 8, pp. 1600-1607 (2003)

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In following a suggestion of Sommerfeld, who was able to derive the paraxial properties for points on the optic axis from the existence and continuity of wave fronts satisfying the eikonal equation, it will be shown how the whole set of the third-order Seidel aberrations of a centered optical system made of refracting surfaces of revolution can be obtained if the series expansion in the radial coordinates is continued up to the fourth order.

© 2003 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(080.2720) Geometric optics : Mathematical methods (general)

Original Manuscript: December 30, 2002
Revised Manuscript: March 13, 2003
Manuscript Accepted: March 13, 2003
Published: August 1, 2003

Giulio Pozzi, "Sommerfeld revisited: a new approach to the third-order Seidel aberrations," J. Opt. Soc. Am. A 20, 1600-1607 (2003)

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  1. G. Pozzi, “Sommerfeld revisited: a simple introduction to imaging and spherical aberration in refracting surfaces of revolution and thin lenses,” Eur. J. Phys. 22, 1–8 (2001). [CrossRef]
  2. A. Sommerfeld, Optics (Academic, New York, 1964).
  3. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1970).
  4. A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978).
  5. D. J. Schroeder, Astronomical Optics (Academic, San Diego, Calif., 1987).
  6. S. Wolfram, The Mathematica Book (Wolfram Media/Cambridge University, Champaign, Ill., 1999).
  7. A. Maréchal, “Optique géométrique générale,” in Handbuch der Physik, S. Flügge, ed., Vol. XXIV (Springer, Berlin, 1956), pp. 44–170.

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