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Applied Optics

Applied Optics


  • Vol. 22, Iss. 4 — Feb. 15, 1983
  • pp: 541–553

Paraxial analysis of mechanically compensated zoom lenses. 3: Five-component type

Kazuo Tanaka  »View Author Affiliations

Applied Optics, Vol. 22, Issue 4, pp. 541-553 (1983)

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With the help of Gaussian Brackets, this paper presents a paraxial study of the mechanically compensated zoom lens which consists of a fixed front component, three independently movable components, and a fixed fifth component. The expressions, which define the displacement of components at zooming, the critical point of displacement, and the singular point of displacement are derived. Some numerical examples of the zooming locus are given.

© 1983 Optical Society of America

Original Manuscript: September 21, 1982
Published: February 15, 1983

Kazuo Tanaka, "Paraxial analysis of mechanically compensated zoom lenses. 3: Five-component type," Appl. Opt. 22, 541-553 (1983)

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  1. K. Tanaka, Appl. Opt. 21, 2174 (1982). [CrossRef] [PubMed]
  2. K. Tanaka, Appl. Opt. 21, 4045 (1982). [CrossRef] [PubMed]
  3. K. Yamaji, Prog. Opt. 6, 107 (1967).
  4. A. Warmisham, British Patent 398307 (14Sept.1933).
  5. W. P. M. M. van Gennip, Nederland Patent 282395 (28Dec.1964).
  6. D. S. Volosov, N. A. Gradoboeva, I. E. Isaeva, M. S. Stefanskii, Soviet Patent 342162 (14June1972).
  7. S. Nakamura, U.S. Patent3,771,853 (13Nov.1973).
  8. T. Sekiguchi, French Patent2,222,664 (22Mar.1974).
  9. K. Ikemori, Japanese Laid Open Patent Application50-126441 (4Oct.1975).
  10. E. Takano, Deutsches Patent Auslegeschrift 2533194 (15Sept.1977).
  11. I. Kawaguchi, M. Tai, Japanese Laid Open Patent Application53-34539 (31Mar.1978).
  12. F. Laurent, U.K. Patent Application2013926 (22Jan.1979).
  13. E. I. Betensky, Japanese Laid Open Patent Application55-62419 (10May1980).
  14. S. Suda, K. Tanaka, Japanese Laid Open Patent Application56-1009 (8Jan.1981).
  15. Y. Doi, K. Sado, U.S. Patent4,245,891 (20Jan.1981).
  16. M. S. Stefanskii, N. A. Gradoboeva, I. E. Isaeva, Sov. J. Opt. Technol. 44, 468 (1977).
  17. K. Macher, J. SMPTE 83, 39 (1974). [CrossRef]
  18. K. Macher, Fernseh Kino Tech. 28, 3 (1974).
  19. K. Tanaka, Jpn. J. Opt. 10, 356 (1981).
  20. K. Tanaka, Opt. Commun. 43, 315 (1982). [CrossRef]
  21. See, for example, E. L. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 32.
  22. M. Herzberger, J. Opt. Soc. Am. 33, 651 (1943). [CrossRef]
  23. M. Herzberger, J. Opt. Soc. Am. 42, 637 (1952). [CrossRef]
  24. M. Herzberger, Modern Geometrical Optics (Interscience, New York, 1958), p. 457.
  25. K. Tanaka, Optik 62, 211 (1982).
  26. See, for example, Y. C. Lu, Singularity Theory and an Introduction to Catastrophe Theory (Springer, New York, 1976), p. 17.
  27. See, for example, I. S. Sokolnikoff, R. M. Redheffer, Mathematics of Physics and Modern Engineering (McGraw-Hill, New York, 1958), p. 335.
  28. See, for example, T. Poston, I. N. Stewart, Taylor Expansions and Catastrophes (Pitman, London, 1979), p. 15.
  29. See, for example, S. Moriguchi, K. Udagawa, S. Hitotsumatsu, Mathematical Formulae I (Iwanami, Tokyo, 1968), p. 11.
  30. See, for example, Iwanami Encyclopedic Dictionary of Mathematics, Edited by the Mathematical Society of Japan (Iwanami, Tokyo, 1972), p. 510.

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