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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 22 — Aug. 1, 2006
  • pp: 5629–5635

Polynomial shape of an inclined ellipsoid with rotational symmetry about its major axis

Lizbeth A. Castañeda-Escobar and Daniel Malacara-Hernández  »View Author Affiliations

Applied Optics, Vol. 45, Issue 22, pp. 5629-5635 (2006)

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We present the approximate polynomial expression for an ellipsoid with rotational symmetry about its major axis, which is on the yz plane and at angle θ with respect to the z axis. These expressions have many possible useful applications in optics as shown. The main optical properties of these types of inclined ellipsoidal surface will be reviewed.

© 2006 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.1010) Optical design and fabrication : Aberrations (global)
(220.1250) Optical design and fabrication : Aspherics
(220.4840) Optical design and fabrication : Testing

ToC Category:
Optical Design and Fabrication

Original Manuscript: November 28, 2005
Revised Manuscript: February 27, 2006
Manuscript Accepted: March 1, 2006

Lizbeth A. Castañeda-Escobar and Daniel Malacara-Hernández, "Polynomial shape of an inclined ellipsoid with rotational symmetry about its major axis," Appl. Opt. 45, 5629-5635 (2006)

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  1. D. Malacara-Hernández, "Some parameters and characteristics of an off-axis paraboloid," Opt. Eng. 30, 1277-1281 (1991). [CrossRef]
  2. D. Malacara-Hernández and M. Servin, "Aberrations introduced in off-axis testing of spherical surface," Opt. Eng. 35, 3260-3264 (1996). [CrossRef]
  3. C. Menchaca and D. Malacara-Hernández, "Directional curvature in a conic surface," Appl Opt. 23, 3258-3261 (1984). [CrossRef] [PubMed]
  4. M. E. Mortenson, Geometric Modeling, 2nd ed. (Wiley, 1997), pp. 152-156.
  5. P. C. Gasson, Geometry of Spatial Forms (Ellis Horwood, 1983), pp. 85-87.
  6. D. Malacara-Hernández, Optical Shop Testing (Wiley, 1992), pp. 321-342 and 367-385.
  7. D. Malacara-Hernández and Z. Malacara-Hernández, eds., Handbook of Optical Design (Marcel Dekker, 2004), pp. 270-276.

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