Abstract
Within the geometrical optics approximation, we consider a class of mirrors (with surfaces formed by rotating second-order curves) which enables an extension of the range of possible beam conversions in optical systems. The formulas used in the calculations are quite simple. Based on this approach, we worked out and presented a complete analytical algorithm for calculation of the mirror surface parameters in a “HEX-DARR” resonator. To check the algorithm, a numerical calculation of an optical system is carried out for a specific set of initial data. The results obtained confirm the accuracy of the equations derived and the efficiency of the algorithm.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Yu. A. Anan'ev,Optical Resonators and Laser Beams, [in Russian], Nauka, Moscow (1990).
J. Liller, “High Power Hydrogen Fluoride Chemical Lasers: Power Scaling and Beam Quality,” Report at the International Conference “LASERS-87” (Lake Tahoe, Nevada, USA, 7–11 December 1986).
G. M. Popov,Modern Astronomical Optics [in Russian], Nauka, Moscow (1988).
G. A. Korn and T. M. Korn,Mathematical Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, New York (1968).
Author information
Authors and Affiliations
Additional information
Translated from a manuscript submitted November 29, 1995.
Rights and permissions
About this article
Cite this article
Fedorovskii, A.M., Stepanov, A.A. & Shcheglov, V.A. Analytical technique for calculation of mirror surface parameters in “HEX-DARR” resonator for lasers with a ring active medium. J Russ Laser Res 17, 286–304 (1996). https://doi.org/10.1007/BF02066544
Issue Date:
DOI: https://doi.org/10.1007/BF02066544