Abstract

The generalized ray tracing for the extraordinary ray through uniaxial crystals developed by Avendaño-Alejo and Stavroudis [J. Opt. Soc. Am. A 19, 1674 (2002) ] has been applied to derive paraxial refracting equations. Paraxial equations are derived for three cases where the incident, ordinary, and extraordinary rays lie in the incident plane: (a) the crystal axis is parallel to the optical axis, (b) the crystal axis is orthogonal to the optical axis and lies in the plane of incidence, and (c) the crystal axis is orthogonal to both the optical axis and the incident plane. The paraxial ray-tracing equations for the extraordinary ray are represented by matrix operators. The elements of the matrix system give all the information of the focal points and of the principal points. Gaussian formulas are derived, and some examples are presented.

© 2005 Optical Society of America

Optical path difference in a plane-parallel uniaxial plate

Maximino Avendaño-Alejo and Martha Rosete-Aguilar
J. Opt. Soc. Am. A 23(4) 926-932 (2006)

Huygens’s principle and rays in uniaxial anisotropic media. II. Crystal axis orientation arbitrary

Maximino Avendaño-Alejo and Orestes N. Stavroudis
J. Opt. Soc. Am. A 19(8) 1674-1679 (2002)

Huygens’s principle and rays in uniaxial anisotropic media. I. Crystal axis normal to refracting surface

Maximino Avendaño-Alejo, Orestes N. Stavroudis, and Ana Rosa Boyain y Goitia
J. Opt. Soc. Am. A 19(8) 1668-1673 (2002)

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

Luc Dettwiller
Appl. Opt. 47(3) 442-452 (2008)

Analysis of the refraction of the extraordinary ray in a plane-parallel uniaxial plate with an arbitrary orientation of the optical axis.

M. Avendaño-Alejo
Opt. Express 13(7) 2549-2555 (2005)