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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 9 — Sep. 1, 2011
  • pp: 1949–1953

Geometric phase for dichroic media

Piotr Kurzynowski and Władysław A. Woźniak  »View Author Affiliations


JOSA A, Vol. 28, Issue 9, pp. 1949-1953 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001949


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Abstract

We are presenting an extension for the method of obtaining the geometric phase introduced by the birefringent medium. This extension takes into account the possible dichroism of the examined medium. Its influence has been described formally in two kinds of interferometric experiments using the Jones formalism. The mathematical formulas have been visualized with the specific-triangles construction on the Poincaré sphere. This medium’s dichroism can affect the final formulas for the obtained interferometric pattern in two ways, depending on the type of experiment. Dichroism can change the geometrical phase in the setup with a Mach–Zehnder interferometer; however, only the contrast of possible interference fringes can be changed in a polariscopic setup.

© 2011 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.1440) Physical optics : Birefringence
(260.3160) Physical optics : Interference
(260.5430) Physical optics : Polarization
(350.1370) Other areas of optics : Berry's phase

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 28, 2011
Revised Manuscript: August 4, 2011
Manuscript Accepted: August 5, 2011
Published: August 30, 2011

Citation
Piotr Kurzynowski and Władysław A. Woźniak, "Geometric phase for dichroic media," J. Opt. Soc. Am. A 28, 1949-1953 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-9-1949


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References

  1. S. Pancharatnam, “Generalized theory of interference and its applications. Part I. Coherent pencils,” Proc. Ind. Acad. Sci. A 44, 247–262 (1956).
  2. M. V. Berry, “The adiabatic phase and Pancharatnam’s phase for polarized light,” J. Mod. Opt. 34, 1401–1407 (1987). [CrossRef]
  3. J. Courtial, “Wave plates and the Pancharatnam phase,” Opt. Commun. 171, 179–183 (1999). [CrossRef]
  4. P. Kurzynowski, W. A. Woźniak, and M. Szarycz, “Geometric phase: two triangles on the Poincaré sphere,” J. Opt. Soc. Am. A 28, 475–482 (2011). [CrossRef]
  5. P. Yeh and C. Gu, “Chapter 4.1. Jones matrix formulation,” in Optics of Liquid Crystal Displays, P.Yeh and C.Gu, eds. (Wiley, 2010), pp. 173–198.
  6. P. Kurzynowski, W. A. Woźniak, and F. Ratajczyk, “Coherent superposition of polarized light—intensity vector with continuously changed relative amplitudes of component waves,” Optik 111, 201–203 (2000).
  7. J. C. Polking, “The area of a spherical triangle. Girard’s Theorem.,” http://math.rice.edu/~pcmi/sphere/gos4.html#1.
  8. I. Todhunter, “Spherical trigonometry,” http://www.gutenberg.org/files/19770/19770-pdf.pdf, p. 26.
  9. P. Kurzynowski and W. A. Woźniak, “Phase difference superposition rule for dichroic media,” Optik 103, 66–68(1996).

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