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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 11 — Nov. 1, 1964
  • pp: 1340–1347

Wave Optics Theory of Rotary Compensators

D. A. HOLMES  »View Author Affiliations

JOSA, Vol. 54, Issue 11, pp. 1340-1347 (1964)

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The theory conventionally used to describe the operation of Berek and Ehringhaus rotary compensators is based on geometrical optics and, hence, is not exact. When rotary compensators are analyzed within the framework of classical electromagnetic theory, exact solutions for the phase difference and amplitude ratio of the transmitted light can be determined. The approximate and exact solutions differ in some interesting ways which become of substantial importance in the examination of monochromatic plane waves of light. In particular, the discrepancies between exact and approximate solutions become more pronounced at high angles of incidence. Exact theory predicts the possibility of using a high-refractive index isotropic plate for measuring small phase differences at relatively long wavelengths.

D. A. HOLMES, "Wave Optics Theory of Rotary Compensators," J. Opt. Soc. Am. 54, 1340-1347 (1964)

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  1. R. J. Archer, J. Opt. Soc. Am. 52, 970 (1962).
  2. F. Partovi, J. Opt. Soc. Am. 52, 918 (1962).
  3. C. A. Skinner, J. Opt. Soc. Am. and Rev. Sci. Instr. 10, 491 (1925).
  4. H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).
  5. A. C. Hall, J. Opt. Soc. Am. 53, 801 (1963).
  6. M. Berek, Mikroskopische Mlineralbestimznung mit Hilfe der Universaldrelhtischimetlhoden (Gebriider Bornträger, Berlin, 1924).
  7. F. Rinne and M. Berek, Anleitung zu Optischen Untersuclhungen mit dem Polarizationsmikroskop (Schweizerbart'sche Verlagsbuchhandlung, Stuttgart, 1953).
  8. M. Berek, Zentr. Mineral. 1913 pp. 388, 427, 464, 580.
  9. A. Ehringhaus, Z. Krist. 76, 315 (1931); 98, 394 (1938); 102, 85 (1939).
  10. Conrad Burri, Z. Angew. Math. Phys. 4, 418 (1953).
  11. H. Weinberger and J. Harris, J. Opt. Soc. Am. 54, 552 (1964).
  12. D. A. Holmes, J. Opt. Soc. Am. 54, 1115 (1964).
  13. J. Gahm, Zeiss Mitt. Fortschr. Tech. Opt. 3. 152 (1964).
  14. A. B. Winterbottom, Kgl. Norske Vindenskab. Selskabs Skrifter 1, 27, 37 (1955).
  15. H . Schopper, Z. Physik 132, 146(1952).
  16. For illustrative numerical examples, we have chosen optical constants for calcite and quartz corresponding to near-infrared wavelengths because we are using gallium arsenide injection laser sources (8400 Å) in some of our work. We assume that no absorption occurs at the wavelengths used. The general concepts advanced in this work, however, clearly apply at other wavelengths. The optical constants were taken from American Institute of Physics Handbook, edited by D. E. Gray (McGraw-Hill Book Company, Inc., New York, 1963), 2nd ed., Calcite, pp. 6–18; Crystal Quartz, pp. 6–33.
  17. Some aspects of propagation through an isotropic slab are discussed byM. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), pp. 60 ff.
  18. D. Bergman, J. Opt. Soc. Am. 52, 1080 (1962).
  19. A summary of the optical properties of thallium bromide iodide (KRS-5) is given in Syntdletic Optical Crystals (The Harshaw Chemical Company, Cleveland 6, Ohio, 1955), rev. ed., pp. 23–24. We have taken the index of refraction at 10µ as n = 2.37274.
  20. See Ref. 14, p. 68.
  21. The geometrical optics theory of the Soleil compensator is treated in Ref. 17, p. 691.
  22. See Ref. 17, pp. 699–700.

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