Abstract

A unified treatment of the algebra of Stokes parameters and the coherency matrix is presented. Explicit formulas are given which relate the Jones and Mueller matrix formulations to the coherency matrix, and to themselves. The general method involves the trace of products of matrices, and the algebra is both useful and capable of generalization.

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  1. R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941); 31, 493 (1941); 31, 500 (1941); 32, 486 (1942); 37, 107 (1947); 37, 110 (1947); 38, 671 (1948); 46, 126 (1956).
  2. N. G. Parke, J. Math. Phys. 28, 131 (1949).
  3. M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1959), p. 545.
  4. See any text on introductory quantum mechanics.
  5. G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852).
  6. U. Fano, Rev. Mod. Phys. 29, 74 (1957).
  7. U. Fano, J. Opt. Soc. Am. 39, 859 (1949).
  8. M. J. Walker, Am. J. Phys. 22, 170 (1954).
  9. H. G. Jerrard, J. Opt. Soc. Am. 44, 634 (1954).
  10. W. H. McMaster, Rev. Mod. Phys. 33, 8 (1961).
  11. F. Perrin, J. Chem. Phys. 10, 415 (1942).
  12. W. A. Shurcliff, Polarized Light (Harvard Univ. Press, Cambridge, Mass., 1962).
  13. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass. 1963), Ch. 9.
  14. A. S. Marathay, J. Opt. Soc. Am. 55, 969 (1965).
  15. G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).
  16. B. H. Billings, J. Opt. Soc. Am. 42, 12 (1952).
  17. B. H. Billings, J. Opt. Soc. Am. 41, 966 (1951).
  18. The symbol σ¯ is used in place of the unavailable lightface form ơ.

Billings, B. H.

B. H. Billings, J. Opt. Soc. Am. 42, 12 (1952).

B. H. Billings, J. Opt. Soc. Am. 41, 966 (1951).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1959), p. 545.

Fano, U.

U. Fano, Rev. Mod. Phys. 29, 74 (1957).

U. Fano, J. Opt. Soc. Am. 39, 859 (1949).

Jerrard, H. G.

H. G. Jerrard, J. Opt. Soc. Am. 44, 634 (1954).

Jones, R. C.

R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941); 31, 493 (1941); 31, 500 (1941); 32, 486 (1942); 37, 107 (1947); 37, 110 (1947); 38, 671 (1948); 46, 126 (1956).

Marathay, A. S.

A. S. Marathay, J. Opt. Soc. Am. 55, 969 (1965).

McMaster, W. H.

W. H. McMaster, Rev. Mod. Phys. 33, 8 (1961).

O’Neill, E. L.

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass. 1963), Ch. 9.

Parke, N. G.

N. G. Parke, J. Math. Phys. 28, 131 (1949).

Perrin, F.

F. Perrin, J. Chem. Phys. 10, 415 (1942).

Ramachandran, G. N.

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).

Shurcliff, W. A.

W. A. Shurcliff, Polarized Light (Harvard Univ. Press, Cambridge, Mass., 1962).

Stokes, G.

G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852).

Walker, M. J.

M. J. Walker, Am. J. Phys. 22, 170 (1954).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1959), p. 545.

Other (18)

R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941); 31, 493 (1941); 31, 500 (1941); 32, 486 (1942); 37, 107 (1947); 37, 110 (1947); 38, 671 (1948); 46, 126 (1956).

N. G. Parke, J. Math. Phys. 28, 131 (1949).

M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1959), p. 545.

See any text on introductory quantum mechanics.

G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852).

U. Fano, Rev. Mod. Phys. 29, 74 (1957).

U. Fano, J. Opt. Soc. Am. 39, 859 (1949).

M. J. Walker, Am. J. Phys. 22, 170 (1954).

H. G. Jerrard, J. Opt. Soc. Am. 44, 634 (1954).

W. H. McMaster, Rev. Mod. Phys. 33, 8 (1961).

F. Perrin, J. Chem. Phys. 10, 415 (1942).

W. A. Shurcliff, Polarized Light (Harvard Univ. Press, Cambridge, Mass., 1962).

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Reading, Mass. 1963), Ch. 9.

A. S. Marathay, J. Opt. Soc. Am. 55, 969 (1965).

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

B. H. Billings, J. Opt. Soc. Am. 42, 12 (1952).

B. H. Billings, J. Opt. Soc. Am. 41, 966 (1951).

The symbol σ¯ is used in place of the unavailable lightface form ơ.

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