OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 8 — Apr. 15, 1988
  • pp: 1574–1580

Automatic design of optical systems using a set of general skew ray tracing formulas

You-Wen Zhang, Mo-Jun Chang, Cu-Wu Yang, and Hai-Cheng Tu  »View Author Affiliations


Applied Optics, Vol. 27, Issue 8, pp. 1574-1580 (1988)
http://dx.doi.org/10.1364/AO.27.001574


View Full Text Article

Enhanced HTML    Acrobat PDF (757 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A general equation of high-order surfaces is given. If its second term is equal to zero, this equation will automatically reduce to the conic surfaces. By adding two parameters g and k into the conic equation, we are able to use only one euqation to describe the planar, cylindrical, and conic surfaces. A set of skew ray tracing formulas for these surfaces, including tilted and decentered elements, is derived. The formulas analytical and easy to use. Based on the tracing of skew rays, a merit function of the optical system is defined and an analytical formula for determining the narrowest cross-sectional position of skew rays is given. A program of skew ray tracing is edited for the Sharp-1500 pocket computer. An example for a 2-D infrared scanner is given. Based on the skew ray tracing formulas and by using the damped least-squares method, some examples for automatic design of optical systems are also shown on the IBM PC/XT personal computer.

© 1988 Optical Society of America

History
Original Manuscript: May 1, 1987
Published: April 15, 1988

Citation
You-Wen Zhang, Mo-Jun Chang, Cu-Wu Yang, and Hai-Cheng Tu, "Automatic design of optical systems using a set of general skew ray tracing formulas," Appl. Opt. 27, 1574-1580 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-8-1574


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. H. Jamieson, Optimization Techniques in Lens Design (American Elsevier, New York, 1971).
  2. W. T. Welford, Aberrations of the Symmetrical System (Academic, London, 1974).
  3. D. P. Feder, “Optical Calculations with Automatic Computing Machinery,” J. Opt. Soc. Am. 41, 630 (1951). [CrossRef]
  4. A. B. Meinel, M. P. Meinel, “Zero Coma Condition for Decentered and Tilted Secondary Mirror in Cassegrain/Nasmyth Configuration,” Opt. Eng. 23, 801 (1984). [CrossRef]
  5. W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1966).
  6. M. Herzberger, “Geometrical Optics,” in Handbook of Physics, Second Edition, E. U. Condon, H. Odishaw, Eds. (McGraw-Hill, New York, 1967).
  7. B. J. Howell, M. E. Wilson, “Automatic Ray–Surface Intersection Method,” Appl. Opt. 21, 2184 (1982). [CrossRef] [PubMed]
  8. G. Pinto, “A Program for Ray Tracing Through Tilted and Decentered Optical Surfaces,” Opt. Acta 26, 1321 (1979). [CrossRef]
  9. J. S. Hanssen, “Ray–Tracing Programs for Spherical and Aspherical Surfaces,” Electro Opt. Syst. Des. 27 (Oct.1980).
  10. L. H. J. F. Beckmann, “Programmable Calculators: Their Use in Lens Design and Analysis,” Opt. Eng. 24, 713 (1986).
  11. R. Willey et al., “Minimized Cost Through Optimized Tolerance Distribution in Optical Assemblies,” Proc. Soc. Photo-Opt. Instrum. Eng. 389, 12 (1983).
  12. D. Heshmaty-Manesh, G. Y. Haig, “Lens Tolerancing by Desk-Top Computer,” 25, 1268 (1986).
  13. Y. Zhang et al., “Automatic Design of Non-Coaxial and Aspherical Infrared Optical System,” Acta Phys. Sin. 28, 492 (1979).
  14. Y. Zhang, Infrared Optical Engineering (Shanghai Scientific Press, China, 1983), Chaps. 4 and 5.
  15. Wang Lan-Juan, Su Ding-Qiang, “The Studies of Two Types of Catadioptric Telescope,” Acta Opt. Sin. 3, 132 (1983).
  16. T. B. Andersen, “Evaluating rms Spot Radii by Ray Tracing,” Appl. Opt. 21, 1241 (1982). [CrossRef] [PubMed]

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