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Applied Optics

Applied Optics


  • Vol. 42, Iss. 29 — Oct. 10, 2003
  • pp: 5825–5830

Holodiagrams in birefringent media

Héctor Rabal, Nelly Cap, Karin V. Gottschalk, and María C. Simon  »View Author Affiliations

Applied Optics, Vol. 42, Issue 29, pp. 5825-5830 (2003)

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The modifications to the holodiagram concept to describe free propagation (the extraordinary ray) inside birefringent materials are described. Holodiagrams are graphs showing the loci where the sum or the difference in the optical path from a generic point to two foci is the same. The holodiagrams obtained in this way give the shape of the surfaces that satisfy Fermat’s principle, conjugate by reflection of one focus into the other, and represent the interference fringes obtained if both points are coherent sources. The reflection law in birefringent media is investigated in relation to this diagram. One direction for the optical axis is considered: parallel to the line joining the source and the observation point. Quartz-type and calcite-type crystals are studied.

© 2003 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence

Original Manuscript: February 14, 2003
Revised Manuscript: July 7, 2003
Published: October 10, 2003

Héctor Rabal, Nelly Cap, Karin V. Gottschalk, and María C. Simon, "Holodiagrams in birefringent media," Appl. Opt. 42, 5825-5830 (2003)

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  1. N. Abramson, “The holodiagram, a practical device for the making and evaluation of holograms,” Appl. Opt. 8, 1235–1240 (1969). [CrossRef] [PubMed]
  2. N. Abramson, Light in Flight or The Holodiagram, Columbi Egg in Optics (SPIE, Bellingham, Wash., 1996).
  3. N. Abramson, The Making and Evaluation of Holograms (Academic, London, 1981).
  4. H. Rabal, “The holodiagram with virtual sources,”Optik (Stuttgart) 112, 487–492 (2001). [CrossRef]
  5. G. Baldwin, F. De Zela, H. Rabal, “Refraction holodiagrams,” Optik (Stuttgart) 112, 555–560 (2001). [CrossRef]
  6. M. Simon, K. Gottschalk, “Optical path in birefringent media and Fermat’s principle,” Pure Appl. Opt. 7, 1403–1410 (1998). [CrossRef]
  7. K. V. Gottschalk, “Brewster angle and the behavior of the electric polarization vector in the optics of birefringent crystals,” Ph.D. dissertation (Universidad de Buenos Aires, Argentina, 2001), pp. 103–109.

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