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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 31, Iss. 7 — Jul. 1, 1941
  • pp: 500–503

A New Calculus for the Treatment of Optical Systems

R. CLARK JONES  »View Author Affiliations


JOSA, Vol. 31, Issue 7, pp. 500-503 (1941)
http://dx.doi.org/10.1364/JOSA.31.000500


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Abstract

Reusch and Sohncke have examined the properties of a system containing a large number n of identical retardation plates, each of which is rotated with respect to the one preceding it through the angle ω. The product of n and ω must be equal to µπ, where µ is an integer. Under certain conditions this system is optically equivalent to a simple rotator. This system, which would be very difficult to examine by ordinary methods, is given a treatment which is completely rigorous and which is more general than any given heretofore.

Citation
R. CLARK JONES, "A New Calculus for the Treatment of Optical Systems," J. Opt. Soc. Am. 31, 500-503 (1941)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-31-7-500


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References

  1. E. Reusch, Berliner Monatsber. (Gesammtsitzung, July 8, 1869) 530 (1869); Pogg. Ann. 138, 628 (1869).
  2. L. Sohncke, Math. Ann. 9, 504 (1876). See also Pogg. Ann. Ergänzungsband 8, 16 (1878), and Zeits. f. Krist. 13, 214 (1888).
  3. F. Pockels, Lehrbuch der Kristalloptik (Teubner, Leipzig, 1906), pp. 289–290.
  4. L. Sohncke, Entwickelung einer Theorie der Krystall-structur (Teubner, Leipzig, 1879). See particularly pp. 238–246.
  5. T. M. Lowry, Optical Rotatory Power (Longmans Green, New York, 1935), p. 194, Fig. 79(a).
  6. M. F. Billet, Traité D'optique Physique (Paris, 1859), Vol. 2, Chapter 20, Art. 1, pp. 328–351.

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