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Applied Optics

Applied Optics


  • Vol. 12, Iss. 1 — Jan. 1, 1973
  • pp: 62–67

Loci of Invariant-Azimuth and Invariant-Ellipticity Polarization States of an Optical System

R. M. A. Azzam and N. M. Bashara  »View Author Affiliations

Applied Optics, Vol. 12, Issue 1, pp. 62-67 (1973)

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The loci of polarization states for which either the ellipticity alone or the azimuth alone remains invariant upon passing through an optical system are introduced. The cartesian equations of these two loci are derived in the complex plane in which the polarization states are represented. The equations are quartic and are conveniently expressed in terms of the elements of the Jones. matrix of the optical system. As an exple the loci are determined for a system composed of a π/4 rotator followed by a quarter-wave retarder.

© 1973 Optical Society of America

Original Manuscript: May 18, 1972
Published: January 1, 1973

R. M. A. Azzam and N. M. Bashara, "Loci of Invariant-Azimuth and Invariant-Ellipticity Polarization States of an Optical System," Appl. Opt. 12, 62-67 (1973)

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  1. R. Clark Jones, J. Opt. Soc. Am. 32, 486 (1942). [CrossRef]
  2. H. de Lang, Phillips Res. Rep. 8, 1 (1967).
  3. R. M. A. Azzam, N. M. Bashara, J. Opt. Soc. Am. 62, 222 (1972). [CrossRef]
  4. R. Clark Jones, J. Opt. Soc. Am. 37, 110 (1947). [CrossRef]
  5. The elements of the Jones matrix in the example of a π/4 rotator and QWP of Eq. (16) satisfy Eq. (21) after multiplication by exp(iπ/4).
  6. The special case when Eq. (14) is factored in the form QaQb = 0, where Qa and Qb are two quadratics, gives rise to a locus composed of two conic sections.

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