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Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 19, Iss. 7 — Mar. 28, 2011
  • pp: 6762–6776

Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators

Jie Yuan, Xingwu Long, and Meixiong Chen  »View Author Affiliations


Optics Express, Vol. 19, Issue 7, pp. 6762-6776 (2011)
http://dx.doi.org/10.1364/OE.19.006762


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Abstract

To the best of our knowledge, the generalized ray matrix, an augmented 5×5 ray matrix for a spherical mirror reflection with all the possible perturbation sources including three kinds of displacements and its detailed deducing process have been proposed in this paper for the first time. Square ring resonators and monolithic triaxial ring resonators have been chosen as examples to show its application, and some novel results of the optical-axis perturbation have been obtained. A novel method to eliminate the diaphragm mismatching error and the gain capillary mismatching error in monolithic triaxial ring resonators more effectively has also been proposed. Both those results and method have been confirmed by related experiments and the experimental results have been described with diagrammatic representation. This generalized ray matrix is valuable for ray analysis of various kinds of resonators. These results are important for the cavity design, cavity improvement and alignment of high accuracy and super high accuracy ring laser gyroscopes.

© 2011 OSA

OCIS Codes
(140.3370) Lasers and laser optics : Laser gyroscopes
(140.3410) Lasers and laser optics : Laser resonators
(140.3560) Lasers and laser optics : Lasers, ring
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: January 26, 2011
Revised Manuscript: March 13, 2011
Manuscript Accepted: March 15, 2011
Published: March 24, 2011

Citation
Jie Yuan, Xingwu Long, and Meixiong Chen, "Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators," Opt. Express 19, 6762-6776 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-7-6762


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