Abstract

In order to analyze an elliptical light wave, we must find its state of polarization which is completely determined by three parameters, i.e., the direction (azimuth), the form (ellipticity), and the sense of the ellipse described by the light vector. In this paper a survey is given of the direct and indirect methods used for the measurement of the magnitudes of the three parameters. First, a mathematical treatment, which uses the calculus of quaternions, of the state of polarization for special cases will give the background to the theories of the methods discussed.

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  1. H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).
  2. R. Clark Jones, J. Opt. Soc. Am. 31, 488 (1941).
  3. See reference 2, p. 490.
  4. H. Y. Hsü, M. Richartz, and Y. K. Liang, J. Opt. Soc. Am. 37, 99 (1947).
  5. H. Hurwitz, Jr. and R. Clark Jones, J. Opt Soc. Am. 31, 493 (1941).
  6. Max Born, Optik (Verlagsbuchhandlung Julius Springer, Berlin, 1933), p. 23.
  7. O. Schönrock, Handbuch der Physik 19, 749 (1928).
  8. F. Lippich, Wien. Ber. 91, 1059 (1885).
  9. G. Szivessy, Handbuch der Physik 19, 955 (footnote 2) (1928); T. M. Lowry, Opt. Rotatory Power (Longmans, Green and Company, London, 1935), p. 189.
  10. See reference 7, p. 750.
  11. See reference 9, p. 932.
  12. E. Bcrtrand, Bull. Soc. Mineral. 1, 26 (1878).
  13. S. Nakamura. Centralblatt f. Min., 267 (1905).
  14. Such rotator was proposed by Hans Mueller at M.I.T. in a private conversation (July 1946).
  15. J. Strong, Rev. Sci. Inst. 6, 243 (1935).
  16. See reference 9, p. 955.
  17. Chauvin, Ann. de Toulouse 3(J), 30 (1889).
  18. L. Chaumont, Ann. de physique (9), 4, 175 (1915).
  19. G. Szivessy and W. Herzog, Zeits. f. Instrumentenk. 58, 229, 345 (1938).
  20. F. Gabler and P. Sokob, Zeits. f. Instrumentenk 58, 301 (1938).
  21. M. Richartz, Zeits. f. Instrumentenkunde 60, 360 (1940).
  22. G. Szivessy and A. Dierkesmann, Ann. d. Physik 11, 909 (1931).
  23. M. Richartz, “Measurement of phase differences of half-shadow plates,” Zeits. f. Instrumentenk. 60, 358 (1940).
  24. See reference 19, p. 345.
  25. See reference 24, p. 229.
  26. See reference 9, p. 955.
  27. M. Richartz, Zeits. f. Instrumentenkunde 61, 148 (1941); J. Opt. Soc. Am. 31, 292 (1941).
  28. See reference 9, p. 956.
  29. A. Q. Tool, Phys. Rev. 31, 1 (1910).
  30. T. M. Lowry, Optical Rotatory Power (Longmans, Green and Company, London, 1935), p. 186.
  31. L. B. Tuckerman, Univ. Stud, of the University of Nebraska, 9, 194 (1909).
  32. C. A. Skinner, J. Opt. Soc. Am. 10, 491 (1925).
  33. G. Szivessy, Zeits. f. Instrumentenk. 47, 148 (1925).
  34. C. Bergholm, Physik. Zeits. 21, 137 (1920).
  35. Reference 9, p. 961.
  36. G. Szivessy, Zeits. f. Instrumentenk. 46, 454 (1926).
  37. W. Voigt, Physik. Zeits. 2, 303 (1901); see reference 9, p. 963.
  38. R. S. Minor, Ann. d. Physik 10, 581 (1903).

Bcrtrand, E.

E. Bcrtrand, Bull. Soc. Mineral. 1, 26 (1878).

Bergholm, C.

C. Bergholm, Physik. Zeits. 21, 137 (1920).

Born, Max

Max Born, Optik (Verlagsbuchhandlung Julius Springer, Berlin, 1933), p. 23.

Chaumont, L.

L. Chaumont, Ann. de physique (9), 4, 175 (1915).

Dierkesmann, A.

G. Szivessy and A. Dierkesmann, Ann. d. Physik 11, 909 (1931).

Gabler, F.

F. Gabler and P. Sokob, Zeits. f. Instrumentenk 58, 301 (1938).

Herzog, W.

G. Szivessy and W. Herzog, Zeits. f. Instrumentenk. 58, 229, 345 (1938).

Hsü, H. Y.

H. Y. Hsü, M. Richartz, and Y. K. Liang, J. Opt. Soc. Am. 37, 99 (1947).

Hurwitz, Jr., H.

H. Hurwitz, Jr. and R. Clark Jones, J. Opt Soc. Am. 31, 493 (1941).

Jerrard, H. G.

H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).

Jones, R. Clark

R. Clark Jones, J. Opt. Soc. Am. 31, 488 (1941).

H. Hurwitz, Jr. and R. Clark Jones, J. Opt Soc. Am. 31, 493 (1941).

Liang, Y. K.

H. Y. Hsü, M. Richartz, and Y. K. Liang, J. Opt. Soc. Am. 37, 99 (1947).

Lippich, F.

F. Lippich, Wien. Ber. 91, 1059 (1885).

Lowry, T. M.

T. M. Lowry, Optical Rotatory Power (Longmans, Green and Company, London, 1935), p. 186.

Minor, R. S.

R. S. Minor, Ann. d. Physik 10, 581 (1903).

Mueller, Hans

Such rotator was proposed by Hans Mueller at M.I.T. in a private conversation (July 1946).

Nakamura, S.

S. Nakamura. Centralblatt f. Min., 267 (1905).

Richartz, M.

H. Y. Hsü, M. Richartz, and Y. K. Liang, J. Opt. Soc. Am. 37, 99 (1947).

M. Richartz, Zeits. f. Instrumentenkunde 60, 360 (1940).

M. Richartz, “Measurement of phase differences of half-shadow plates,” Zeits. f. Instrumentenk. 60, 358 (1940).

M. Richartz, Zeits. f. Instrumentenkunde 61, 148 (1941); J. Opt. Soc. Am. 31, 292 (1941).

Schönrock, O.

O. Schönrock, Handbuch der Physik 19, 749 (1928).

Skinner, C. A.

C. A. Skinner, J. Opt. Soc. Am. 10, 491 (1925).

Sokob, P.

F. Gabler and P. Sokob, Zeits. f. Instrumentenk 58, 301 (1938).

Strong, J.

J. Strong, Rev. Sci. Inst. 6, 243 (1935).

Szivessy, G.

G. Szivessy and W. Herzog, Zeits. f. Instrumentenk. 58, 229, 345 (1938).

G. Szivessy, Handbuch der Physik 19, 955 (footnote 2) (1928); T. M. Lowry, Opt. Rotatory Power (Longmans, Green and Company, London, 1935), p. 189.

G. Szivessy, Zeits. f. Instrumentenk. 47, 148 (1925).

G. Szivessy, Zeits. f. Instrumentenk. 46, 454 (1926).

G. Szivessy and A. Dierkesmann, Ann. d. Physik 11, 909 (1931).

Tool, A. Q.

A. Q. Tool, Phys. Rev. 31, 1 (1910).

Tuckerman, L. B.

L. B. Tuckerman, Univ. Stud, of the University of Nebraska, 9, 194 (1909).

Voigt, W.

W. Voigt, Physik. Zeits. 2, 303 (1901); see reference 9, p. 963.

Other (38)

H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).

R. Clark Jones, J. Opt. Soc. Am. 31, 488 (1941).

See reference 2, p. 490.

H. Y. Hsü, M. Richartz, and Y. K. Liang, J. Opt. Soc. Am. 37, 99 (1947).

H. Hurwitz, Jr. and R. Clark Jones, J. Opt Soc. Am. 31, 493 (1941).

Max Born, Optik (Verlagsbuchhandlung Julius Springer, Berlin, 1933), p. 23.

O. Schönrock, Handbuch der Physik 19, 749 (1928).

F. Lippich, Wien. Ber. 91, 1059 (1885).

G. Szivessy, Handbuch der Physik 19, 955 (footnote 2) (1928); T. M. Lowry, Opt. Rotatory Power (Longmans, Green and Company, London, 1935), p. 189.

See reference 7, p. 750.

See reference 9, p. 932.

E. Bcrtrand, Bull. Soc. Mineral. 1, 26 (1878).

S. Nakamura. Centralblatt f. Min., 267 (1905).

Such rotator was proposed by Hans Mueller at M.I.T. in a private conversation (July 1946).

J. Strong, Rev. Sci. Inst. 6, 243 (1935).

See reference 9, p. 955.

Chauvin, Ann. de Toulouse 3(J), 30 (1889).

L. Chaumont, Ann. de physique (9), 4, 175 (1915).

G. Szivessy and W. Herzog, Zeits. f. Instrumentenk. 58, 229, 345 (1938).

F. Gabler and P. Sokob, Zeits. f. Instrumentenk 58, 301 (1938).

M. Richartz, Zeits. f. Instrumentenkunde 60, 360 (1940).

G. Szivessy and A. Dierkesmann, Ann. d. Physik 11, 909 (1931).

M. Richartz, “Measurement of phase differences of half-shadow plates,” Zeits. f. Instrumentenk. 60, 358 (1940).

See reference 19, p. 345.

See reference 24, p. 229.

See reference 9, p. 955.

M. Richartz, Zeits. f. Instrumentenkunde 61, 148 (1941); J. Opt. Soc. Am. 31, 292 (1941).

See reference 9, p. 956.

A. Q. Tool, Phys. Rev. 31, 1 (1910).

T. M. Lowry, Optical Rotatory Power (Longmans, Green and Company, London, 1935), p. 186.

L. B. Tuckerman, Univ. Stud, of the University of Nebraska, 9, 194 (1909).

C. A. Skinner, J. Opt. Soc. Am. 10, 491 (1925).

G. Szivessy, Zeits. f. Instrumentenk. 47, 148 (1925).

C. Bergholm, Physik. Zeits. 21, 137 (1920).

Reference 9, p. 961.

G. Szivessy, Zeits. f. Instrumentenk. 46, 454 (1926).

W. Voigt, Physik. Zeits. 2, 303 (1901); see reference 9, p. 963.

R. S. Minor, Ann. d. Physik 10, 581 (1903).

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