Abstract

<p>The properties of the polarization ellipse are deduced in terms of the ratio of the Cartesian components of the complex electric vector of a beam of radiation by utilizing the Argand representation of a real two-dimensional vector as a complex number.</p><p>The two components of a beam that are accepted and rejected by a polarizer or a radio antenna are considered as orthogonal components in the directions of two complex orthonormal vectors. The intensities of the corresponding components of a polarized beam are derived and represented on the Poincaré sphere. The methods are then applied to the important radio case of the Faraday effect in a uniform magneto-ionic medium. Finally, the measurable quantities characterizing a beam of partially polarized radiation are obtained from a diagonalization of the complex polarization tensor that specifies the beam.</p>

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  2. H. Hurwitz and R. Clark Jones, J. Opt. Soc. Am. 31, 493 (1941).
  3. R. Clark Jones, J. Opt. Soc. Am. 31, 500 (1941).
  4. R. Clark Jones, J. Opt. Soc. Am. 32, 487 (1942).
  5. R. Clark Jones, J. Opt. Soc. Am. 37, 107 (1947).
  6. R. Clark Jones, J. Opt. Soc. Am. 37, 110 (1947).
  7. R. Clark Jones, J. Opt. Soc. Am. 38, 671 (1948).
  8. R. Clark Jones, J. Opt. Soc. Am. 46, 126 (1956).
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  13. M. H. Cohen, Proc. Inst. Radio Engrs. 46, 183 (1958).
  14. H. Poincaré, Théorie Mathématique de la Lumière II (Gauthier-Villars, Paris, 1892), Chap. XII.
  15. F. E. Wright, J. Opt. Soc. Am. 20, 529 (1930).
  16. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Sec. 2.20.
  17. K. C. Westfold, Am. Math. Monthly 64, 174 (1957).
  18. G. N. Ramachandran and S. Ramaseshan, J. Opt. Soc. Am. 42, 49 (1952).
  19. K. C. Westfold, J. Atmos. Terr. Phys. 1, 152 (1951).
  20. L. Landau and E. Lifshitz, The Classical Theory of Fields (Addison-Wesley Press, Inc., Cambridge, 1951), Sec. 6–7.
  21. Hatanaka, Suzuki, and Tsuchiya, Publs. Astron. Soc. Japan 7, 114 (1955).
  22. S. Suzuki and A. Tsuchiya, Proc. Inst. Radio Engrs. 46, 190 (1958).

Cohen, M. H.

M. H. Cohen, Proc. Inst. Radio Engrs. 46, 172 (1958).

M. H. Cohen, Proc. Inst. Radio Engrs. 46, 183 (1958).

Hatanaka, T.

T. Hatanaka, Publs. Astron. Soc. Japan 8, 73 (1956).

Hsü, H.-Y.

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

Hurwitz, H.

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

Jones, R. Clark

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

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

R. Clark Jones, J. Opt. Soc. Am. 32, 487 (1942).

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

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

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

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

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

Landau, L.

L. Landau and E. Lifshitz, The Classical Theory of Fields (Addison-Wesley Press, Inc., Cambridge, 1951), Sec. 6–7.

Lifshitz, E.

L. Landau and E. Lifshitz, The Classical Theory of Fields (Addison-Wesley Press, Inc., Cambridge, 1951), Sec. 6–7.

Poincaré, H.

H. Poincaré, Théorie Mathématique de la Lumière II (Gauthier-Villars, Paris, 1892), Chap. XII.

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).

Richartz, M.

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

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Sec. 2.20.

Suzuki, S.

S. Suzuki and A. Tsuchiya, Proc. Inst. Radio Engrs. 46, 190 (1958).

Tsuchiya, A.

S. Suzuki and A. Tsuchiya, Proc. Inst. Radio Engrs. 46, 190 (1958).

Westfold, K. C.

K. C. Westfold, J. Atmos. Terr. Phys. 1, 152 (1951).

K. C. Westfold, Am. Math. Monthly 64, 174 (1957).

Wright, F. E.

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

Other

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

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

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

R. Clark Jones, J. Opt. Soc. Am. 32, 487 (1942).

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

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

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

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

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

M. H. Cohen, Proc. Inst. Radio Engrs. 46, 172 (1958).

Hatanaka, Suzuki, and Tsuchiya, Proc. Japan. Acad. 31, 81 (1955).

T. Hatanaka, Publs. Astron. Soc. Japan 8, 73 (1956).

M. H. Cohen, Proc. Inst. Radio Engrs. 46, 183 (1958).

H. Poincaré, Théorie Mathématique de la Lumière II (Gauthier-Villars, Paris, 1892), Chap. XII.

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

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Sec. 2.20.

K. C. Westfold, Am. Math. Monthly 64, 174 (1957).

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

K. C. Westfold, J. Atmos. Terr. Phys. 1, 152 (1951).

L. Landau and E. Lifshitz, The Classical Theory of Fields (Addison-Wesley Press, Inc., Cambridge, 1951), Sec. 6–7.

Hatanaka, Suzuki, and Tsuchiya, Publs. Astron. Soc. Japan 7, 114 (1955).

S. Suzuki and A. Tsuchiya, Proc. Inst. Radio Engrs. 46, 190 (1958).

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