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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 3 — Jan. 20, 2008
  • pp: 442–452

Paraxial imaging and walk-off effects with birefringent media in refracting surfaces, lenses, and slabs

Luc Dettwiller  »View Author Affiliations

Applied Optics, Vol. 47, Issue 3, pp. 442-452 (2008)

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The paraxial theory of spherical refracting surfaces, spherical lenses, and slabs with one birefringent medium is investigated analytically: using walk-off effects in the paraxial domain, a number of relations between objects and images are deduced, along with cardinal elements, in the case where the optic axis is parallel to the optical axis. This method naturally shows that in some cases first-order astigmatism appears. An argument based on the wavefront (and phase) transformation shows that any spherical birefringent thin lens is stigmatic in the paraxial domain, because the first-order astigmatisms due to the two surfaces of such a lens compensate each other. This is a priori not the case with thick birefringent lenses—but two such cases are detailed.

© 2008 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2730) Geometric optics : Matrix methods in paraxial optics
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence

Original Manuscript: July 2, 2007
Revised Manuscript: November 14, 2007
Manuscript Accepted: November 18, 2007
Published: January 18, 2008

Virtual Issues
Vol. 3, Iss. 2 Virtual Journal for Biomedical Optics

Luc Dettwiller, "Paraxial imaging and walk-off effects with birefringent media in refracting surfaces, lenses, and slabs," Appl. Opt. 47, 442-452 (2008)

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  29. But any refracting surface (D) intersecting (Δg) at an umbilic S--called the "vertex" of (D)--and having at S an osculating sphere of center C on (Δg) also, has the same paraxial optical properties as a spherical refracting surface of center C and vertex S.
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