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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 3 — Mar. 7, 2007

Paraxial matrix description of astigmatic and cylindrical mirror resonators with twisted axes for laser spectroscopy

J. Barry McManus  »View Author Affiliations

Applied Optics, Vol. 46, Issue 4, pp. 472-482 (2007)

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A complete matrix description of ray-optic propagation in an astigmatic multipass cell is presented, with expressions for the coupling of coordinates. A pair of transforms puts the 4 × 4 paraxial system matrix into block-diagonal form, allowing a solution using Sylvester's theorem. A variation on the Jones matrix calculus is employed wherein the ray coordinates on both resonator mirrors are simultaneously represented as a single state of the system. The formulations are applicable to resonators with any degree of astigmatism and axial twist. Examples are presented of beam paths and the boundary shapes of beam spots. The shape of the pattern boundaries, as a function of the coordinate coupling coefficient, influences the practical availability of patterns.

© 2007 Optical Society of America

OCIS Codes
(080.2730) Geometric optics : Matrix methods in paraxial optics
(230.5750) Optical devices : Resonators
(300.1030) Spectroscopy : Absorption
(300.6340) Spectroscopy : Spectroscopy, infrared
(300.6360) Spectroscopy : Spectroscopy, laser

ToC Category:
Geometrical optics

Original Manuscript: June 20, 2006
Manuscript Accepted: July 31, 2006

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

J. Barry McManus, "Paraxial matrix description of astigmatic and cylindrical mirror resonators with twisted axes for laser spectroscopy," Appl. Opt. 46, 472-482 (2007)

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