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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 49, Iss. 7 — Jul. 1, 1959
  • pp: 717–723

New Analysis of the Polarization of Radiation and the Faraday Effect in Terms of Complex Vectors

K. C. WESTFOLD  »View Author Affiliations


JOSA, Vol. 49, Issue 7, pp. 717-723 (1959)
http://dx.doi.org/10.1364/JOSA.49.000717


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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>

Citation
K. C. WESTFOLD, "New Analysis of the Polarization of Radiation and the Faraday Effect in Terms of Complex Vectors," J. Opt. Soc. Am. 49, 717-723 (1959)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-49-7-717


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