Abstract

Techniques for analysis and synthesis of linear optical systems involving polarization effects are related and extended through fuller exploitation of the algebra of complex 2×2 matrices.

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  1. F. E. Wright, J. Opt. Soc. Am. 20, 529 (1930).
  2. U. Fano, J. Opt. Soc. Am. 39, 859 (1949).
  3. M. Richartz and Hsien-yu Hsü, J. Opt. Soc. Am. 39, 136 (1949).
  4. G. A. Deschamps, Proc. IRE 39, 540 (1951).
  5. G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).
  6. H. G. Jerrard, J. Opt. Soc. Am. 44, 634 (1954).
  7. S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 247 (1956).
  8. S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 398 (1956).
  9. H. C. Ko, Proc. IRE 50, 1950 (1962).
  10. W. A. Shurcliff and S. S. Ballard, Polarized Light (Van Nostrand, Princeton, N. J., 1964).
  11. G. G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852); reprinted in Mathematical and Physical Papers (Cambridge U. P., New York, 1901), Vol. III, p. 233.
  12. G. B. Parrent and P. Roman, Nuovo Cimento 15, 370 (1960).
  13. R. W. Schmieder, J. Opt. Soc. Am. 59, 297 (1969).
  14. B. Rossi, Optics (Addison-Wesley, Reading, Mass., 1957).
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  17. E. Wolf, Nuovo Cimento 13, 1165 (1959).
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  19. H. Poincaré, Théorie Mathematique de la Luinière, Vol. 2 (Carré, Paris, 1892).
  20. E. Collett, Am. J. Phys. 36, 713 (1968).
  21. R. Barakat, J. Opt. Soc. Am. 53, 317 (1963).
  22. P. Rastall, Rev. Mod. Phys. 36, 820 (1964).
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  28. R. C. Jones, J. Opt. Soc. Am. 32, 486 (1942).
  29. R. C. Jones, J. Opt. Soc. Am. 37, 107 (1947).
  30. R. C. Jones, J. Opt. Soc. Am. 37, 110 (1947).
  31. R. C. Jones, J. Opt. Soc. Am. 38, 671 (1948).
  32. R. C. Jones, J. Opt. Soc. Am. 46, 126 (1956).
  33. R. Menasse, Ph.D. thesis, MIT, 1955.
  34. P. R. Halmos, Finite-Dimensional Vector Spaces, 2nd ed. (Van Nostrand, New York, 1958).
  35. I. M. Gelfand, Lectures on Linear Algebra (Wiley-Interscience, New York, 1961).
  36. A. S. Marathay, J. Opt. Soc. Am. 55, 969 (1965).
  37. E. T. Whittaker, Analytic Dynamics (Cambridge U. P., New York, 1964).

Ballard, S. S.

W. A. Shurcliff and S. S. Ballard, Polarized Light (Van Nostrand, Princeton, N. J., 1964).

Barakat, R.

R. Barakat, J. Opt. Soc. Am. 53, 317 (1963).

Blanc-Lapierre, A.

A. Blanc-Lapierre and P. Dumontet, Rev. Opt. 34, 1 (1955).

Collett, E.

E. Collett, Am. J. Phys. 36, 713 (1968).

Deschamps, G. A.

G. A. Deschamps, Proc. IRE 39, 540 (1951).

Dumontet, P.

A. Blanc-Lapierre and P. Dumontet, Rev. Opt. 34, 1 (1955).

Fano, U.

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

Gelfand, I. M.

I. M. Gelfand, Lectures on Linear Algebra (Wiley-Interscience, New York, 1961).

Halmos, P. R.

P. R. Halmos, Finite-Dimensional Vector Spaces, 2nd ed. (Van Nostrand, New York, 1958).

Hsü, Hsien-yu

M. Richartz and Hsien-yu Hsü, J. Opt. Soc. Am. 39, 136 (1949).

Hurwitz, Jr., H.

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

Jerrard, H. G.

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

Jones, R. C.

R. C. Jones, J. Opt. Soc. Am. 38, 671 (1948).

R. C. Jones, J. Opt. Soc. Am. 31, 500 (1941).

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

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

R. C. Jones, J. Opt. Soc. Am. 37, 107 (1947).

R. C. Jones, J. Opt. Soc. Am. 46, 126 (1956).

R. C. Jones, J. Opt. Soc. Am. 37, 110 (1947).

R. C. Jones, J. Opt. Soc. Am. 32, 486 (1942).

Ko, H. C.

H. C. Ko, Proc. IRE 50, 1950 (1962).

Marathay, A. S.

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

Menasse, R.

R. Menasse, Ph.D. thesis, MIT, 1955.

Pancharatnam, S.

S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 398 (1956).

S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 247 (1956).

Parke, N. G.

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

Parrent, G. B.

G. B. Parrent and P. Roman, Nuovo Cimento 15, 370 (1960).

Perrin, F.

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

Poincaré, H.

H. Poincaré, Théorie Mathematique de la Luinière, Vol. 2 (Carré, Paris, 1892).

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).

Rastall, P.

P. Rastall, Rev. Mod. Phys. 36, 820 (1964).

Richartz, M.

M. Richartz and Hsien-yu Hsü, J. Opt. Soc. Am. 39, 136 (1949).

Roman, P.

G. B. Parrent and P. Roman, Nuovo Cimento 15, 370 (1960).

Rossi, B.

B. Rossi, Optics (Addison-Wesley, Reading, Mass., 1957).

Schmieder, R. W.

R. W. Schmieder, J. Opt. Soc. Am. 59, 297 (1969).

Shurcliff, W. A.

W. A. Shurcliff and S. S. Ballard, Polarized Light (Van Nostrand, Princeton, N. J., 1964).

Soleillet, P.

P. Soleillet, Ann. Phys. (10), 12, 33 (1929).

Stokes, G. G.

G. G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852); reprinted in Mathematical and Physical Papers (Cambridge U. P., New York, 1901), Vol. III, p. 233.

Tolhoek, H. A.

H. A. Tolhoek, Rev. Mod. Phys. 28, 277 (1956).

Whittaker, E. T.

E. T. Whittaker, Analytic Dynamics (Cambridge U. P., New York, 1964).

Wolf, E.

E. Wolf, Nuovo Cimento 13, 1165 (1959).

Wright, F. E.

F. E. Wright, J. Opt. Soc. Am. 20, 529 (1930).

Other (37)

F. E. Wright, J. Opt. Soc. Am. 20, 529 (1930).

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

M. Richartz and Hsien-yu Hsü, J. Opt. Soc. Am. 39, 136 (1949).

G. A. Deschamps, Proc. IRE 39, 540 (1951).

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

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

S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 247 (1956).

S. Pancharatnam, Proc. Indian Acad. Sci. 44A, 398 (1956).

H. C. Ko, Proc. IRE 50, 1950 (1962).

W. A. Shurcliff and S. S. Ballard, Polarized Light (Van Nostrand, Princeton, N. J., 1964).

G. G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852); reprinted in Mathematical and Physical Papers (Cambridge U. P., New York, 1901), Vol. III, p. 233.

G. B. Parrent and P. Roman, Nuovo Cimento 15, 370 (1960).

R. W. Schmieder, J. Opt. Soc. Am. 59, 297 (1969).

B. Rossi, Optics (Addison-Wesley, Reading, Mass., 1957).

A. Blanc-Lapierre and P. Dumontet, Rev. Opt. 34, 1 (1955).

H. A. Tolhoek, Rev. Mod. Phys. 28, 277 (1956).

E. Wolf, Nuovo Cimento 13, 1165 (1959).

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

H. Poincaré, Théorie Mathematique de la Luinière, Vol. 2 (Carré, Paris, 1892).

E. Collett, Am. J. Phys. 36, 713 (1968).

R. Barakat, J. Opt. Soc. Am. 53, 317 (1963).

P. Rastall, Rev. Mod. Phys. 36, 820 (1964).

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

P. Soleillet, Ann. Phys. (10), 12, 33 (1929).

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

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

R. C. Jones, J. Opt. Soc. Am. 31, 500 (1941).

R. C. Jones, J. Opt. Soc. Am. 32, 486 (1942).

R. C. Jones, J. Opt. Soc. Am. 37, 107 (1947).

R. C. Jones, J. Opt. Soc. Am. 37, 110 (1947).

R. C. Jones, J. Opt. Soc. Am. 38, 671 (1948).

R. C. Jones, J. Opt. Soc. Am. 46, 126 (1956).

R. Menasse, Ph.D. thesis, MIT, 1955.

P. R. Halmos, Finite-Dimensional Vector Spaces, 2nd ed. (Van Nostrand, New York, 1958).

I. M. Gelfand, Lectures on Linear Algebra (Wiley-Interscience, New York, 1961).

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

E. T. Whittaker, Analytic Dynamics (Cambridge U. P., New York, 1964).

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