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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 27, Iss. 6 — Jun. 1, 1937
  • pp: 202–206

Optics in the Large

M. HERZBERGER  »View Author Affiliations


JOSA, Vol. 27, Issue 6, pp. 202-206 (1937)
http://dx.doi.org/10.1364/JOSA.27.000202


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Abstract

The introduction of the natural and the diapoint variables has simplified considerably the investigation of problems in the large, problems where we can give the eiconal in closed form, and therefore for each object ray the image ray. The author and H. Boegehold have, first together and then alone, investigated problems of this kind. The author sketches first once more his new method, and gives then a series of examples, such as the eiconal for the case where to each object point belongs a rotation symmetric caustic, the eiconal for sharp image formation of two surfaces, the eiconal in the case where there is perfect centric symmetry, and other examples which are discussed as far as the time limit permits.

Citation
M. HERZBERGER, "Optics in the Large," J. Opt. Soc. Am. 27, 202-206 (1937)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-27-6-202


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References

  1. W. R. Hamilton, third supplement to an essay on the theory of systems of rays. Trans. Irish Academy 17, 1–144 (1837); also in Mathematical Papers, Vol. I (1931).
  2. H. Bruns, "Das Eikonal," Leipzig Sitz. ber. 21, 321–436 (1895).
  3. M. Herzberger, Strahlenoptik (J. Springer, 1931), pp. 167–175.
  4. See for instance M. Herzberger, "On the Fundamental Optical Invariant," J. O. S. A. 25, 295–304 (1935).
  5. M. Herzberger, "New Theory of Optical Image Formation," J. O. S. A. 26, 197–204 (1936).
  6. H. Boegehold and M. Herzberger, "Kugelsymmetrische Systeme," Zeits. für Ang. Math. u. Mech. 15, 157–178 (1935).
  7. C. Maxwell, On the general laws of optical instruments, Scientific Papers I (1858), pp. 271–285.
  8. H. Boegehold and M. Herzberger, "Kann man zweiverschiedene optische Flächen scharf abbilden?" Comp. Math. 1, 1–29 (1935).
  9. H. Boegehold, "Raumsymmetrische Abbildung," Zeits. f. Instrumentenk. 56, 98–109 (1936).

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