We report the formulation of an ABCD matrix for reflection and refraction of Gaussian light beams at the surface of a parabola of revolution that separate media of different refractive indices based on optical phase matching. The equations for the spot sizes and wave-front radii of the beams are also obtained by using the ABCD matrix. With these matrices, we can more conveniently design and evaluate some special optical systems, including these kinds of elements.
© 2005 Optical Society of America
(080.2730) Geometric optics : Matrix methods in paraxial optics
(200.0200) Optics in computing : Optics in computing
(200.4860) Optics in computing : Optical vector-matrix systems
(230.4040) Optical devices : Mirrors
Hongzhan Liu, Liren Liu, Rongwei Xu, and Zhu Luan, "ABCD matrix for reflection and refraction of Gaussian beams at the surface of a parabola of revolution," Appl. Opt. 44, 4809-4813 (2005)