Abstract

The parameters necessary to define an elliptically polarized vibration, namely the azimuth, the shape, and the sense of rotation of the ellipse described by the light vector can be represented geometrically by a point on a sphere. The method was suggested by Poincaré in 1892. The theory of the Poincaré sphere is presented in detail, and its application to tracing the passage of light through doubly refracting and optically active media fully illustrated. A simple model, designed on the principles involved, is described: it is suitable for instruction and demonstration.

PDF Article

References

  • View by:
  • |
  • |

  1. L. B. Tuckermann, University of Nebraska Studies 9, 157 (1909).
  2. H. Poincaré, Théorie Mathématique de la Lumiere (Gauthiers-Villars, Paris, 1892), Vol. 2, Chap. 12.
  3. J. Becquerel, Communs. Phys. Lab. Univ. Leiden. No. 91C (1928); 211a (1930). L. Chaumont, Compt. rend. 156, 1604 (1913); Ann. chim. et phys. (9th series) 4, 101 (1915). C. A. Skinner, J. Opt. Soc. Am. 10, 490 (1925). F. E. Wright, ibid. 20, 529 (1930). G. Bruhat and P. Grivet, J. phys. radium 6, 12 (1935). Y. Björnstahl, Physik. Z. 42, 437 (1939); Z. Instrumentenk. 59, 425 (1939). O. Snellman and Y. Björnstahl, Kolloid-Beih. 52, 403 (1941). M. F. Bokstein, J. Tech. Phys. (U.S.S.R.) 18, (5) 673 (1948). G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).
  4. C. A. Skinner, J. Opt. Soc. Am. 10, 503 (1925).
  5. A. Johannsen, Manual of Petrographic Methods (McGraw-Hill Book Company, Inc., New York, 1918), second edition, Chapter 2.
  6. H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).
  7. G. N. Ramachandran and V. Chandrasekharan, Proc. Indian Acad. Sci. 33A, 199 (1951).
  8. S. Ramaseshan and V. Chandrasekharan, Current Sci. (India) 20, 150 (1951); S. Ramaseshan, Proc. Indian Acad. Sci. 34A, 32 (1951).
  9. G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

Becquerel, J.

J. Becquerel, Communs. Phys. Lab. Univ. Leiden. No. 91C (1928); 211a (1930). L. Chaumont, Compt. rend. 156, 1604 (1913); Ann. chim. et phys. (9th series) 4, 101 (1915). C. A. Skinner, J. Opt. Soc. Am. 10, 490 (1925). F. E. Wright, ibid. 20, 529 (1930). G. Bruhat and P. Grivet, J. phys. radium 6, 12 (1935). Y. Björnstahl, Physik. Z. 42, 437 (1939); Z. Instrumentenk. 59, 425 (1939). O. Snellman and Y. Björnstahl, Kolloid-Beih. 52, 403 (1941). M. F. Bokstein, J. Tech. Phys. (U.S.S.R.) 18, (5) 673 (1948). G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

Chandrasekharan, V.

G. N. Ramachandran and V. Chandrasekharan, Proc. Indian Acad. Sci. 33A, 199 (1951).

S. Ramaseshan and V. Chandrasekharan, Current Sci. (India) 20, 150 (1951); S. Ramaseshan, Proc. Indian Acad. Sci. 34A, 32 (1951).

Jerrard, H. G.

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

Johannsen, A.

A. Johannsen, Manual of Petrographic Methods (McGraw-Hill Book Company, Inc., New York, 1918), second edition, Chapter 2.

Poincaré, H.

H. Poincaré, Théorie Mathématique de la Lumiere (Gauthiers-Villars, Paris, 1892), Vol. 2, Chap. 12.

Ramachandran, G. N.

G. N. Ramachandran and V. Chandrasekharan, Proc. Indian Acad. Sci. 33A, 199 (1951).

G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

Ramaseshan, S.

G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

S. Ramaseshan and V. Chandrasekharan, Current Sci. (India) 20, 150 (1951); S. Ramaseshan, Proc. Indian Acad. Sci. 34A, 32 (1951).

Skinner, C. A.

C. A. Skinner, J. Opt. Soc. Am. 10, 503 (1925).

Tuckermann, L. B.

L. B. Tuckermann, University of Nebraska Studies 9, 157 (1909).

Other (9)

L. B. Tuckermann, University of Nebraska Studies 9, 157 (1909).

H. Poincaré, Théorie Mathématique de la Lumiere (Gauthiers-Villars, Paris, 1892), Vol. 2, Chap. 12.

J. Becquerel, Communs. Phys. Lab. Univ. Leiden. No. 91C (1928); 211a (1930). L. Chaumont, Compt. rend. 156, 1604 (1913); Ann. chim. et phys. (9th series) 4, 101 (1915). C. A. Skinner, J. Opt. Soc. Am. 10, 490 (1925). F. E. Wright, ibid. 20, 529 (1930). G. Bruhat and P. Grivet, J. phys. radium 6, 12 (1935). Y. Björnstahl, Physik. Z. 42, 437 (1939); Z. Instrumentenk. 59, 425 (1939). O. Snellman and Y. Björnstahl, Kolloid-Beih. 52, 403 (1941). M. F. Bokstein, J. Tech. Phys. (U.S.S.R.) 18, (5) 673 (1948). G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

C. A. Skinner, J. Opt. Soc. Am. 10, 503 (1925).

A. Johannsen, Manual of Petrographic Methods (McGraw-Hill Book Company, Inc., New York, 1918), second edition, Chapter 2.

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

G. N. Ramachandran and V. Chandrasekharan, Proc. Indian Acad. Sci. 33A, 199 (1951).

S. Ramaseshan and V. Chandrasekharan, Current Sci. (India) 20, 150 (1951); S. Ramaseshan, Proc. Indian Acad. Sci. 34A, 32 (1951).

G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.