OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.45.005629


View Full Text Article

Enhanced HTML    Acrobat PDF (121 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-22-5629


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited