Abstract
Gaussian beams of higher orders in a medium with a quadratic variation of gain and refractive index with distance from the optic axis are analytically obtained. Gaussian waveguide beams of higher orders are found that remain unchanged with propagation, and their additional losses (gain) are determined for a nonuniform medium. A propagation problem for an arbitrary beam in an active medium nonuniform in cross-section is solved due to the functional completeness of the obtained system of functions. The eigenfunctions and eigenfrequencies of a cavity with plane mirrors and parabolic inhomogeneity of the active medium are found.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. V. Pyatakhin and A. F. Suchkov,Spatiotemporal Characteristics of Laser Emission Nova Science, New York (1994).
H. Kogelnik,Appl. Opt.,4, 1562 (1965).
T. I. Kuznetsova,Zh. Tekh. Fiz.,34, 419 (1964).
A. F. Suchkov,Zh. Éksp. Teor. Fiz.,49, 1495 (1965).
V. S. Letokhov and A. F. Suchkov,Zh. Éksp. Teor. Fiz.,50, 1148 (1965);Proceedings of the Lebedev Physical Institute, Nauka, Moscow (1968), Vol. 53, p. 169.
T. I. Kuznetsova,Zh. Tekh. Fiz.,36, 58 (1966).
G. J. Ernst and W. J. Witteman,IEEE J. Quant. Electron.,QE-9, 911 (1975).
V. A. Alekseev and D. D. Krylova,Kvantov. Élektron.,17, 869 (1990).
E. E. Fill,Opt. Comm.,67, 441 (1988).
M. V. Pyatakhin, M. Jánossy, L. Csillag, et al.,Sov. J. Quantum Electron.,21, 373 (1991).
A. N. Oraevsky,Proceedings of the Lebedev Physical Institute Nauka, Moscow (1988), Vol. 187, p. 4.
Author information
Authors and Affiliations
Additional information
Translated from a manuscript submitted December 25, 1996.
Rights and permissions
About this article
Cite this article
Pyatakhin, M.V. Gaussian beams in media with transverse gain inhomogeneity. J Russ Laser Res 18, 445–463 (1997). https://doi.org/10.1007/BF02559669
Issue Date:
DOI: https://doi.org/10.1007/BF02559669