Abstract
The relation between the spatial growth rate of a traveling wave and the temporal growth rate of the corresponding standing wave is examined. It is shown that, when radiation propagates in a gain medium with a sufficiently narrow gain line and a high amplification coefficient in the line center, the frequency dependences of the spatial and temporal growth rates of the field amplitude can differ significantly. In particular, at a fixed population inversion, the unbounded narrowing of the gain line, which results in an unbounded increase in the spatial growth rate and the narrowing of its frequency profile, is accompanied by neither an unbounded increase in the maximum value of the temporal growth rate nor an unbounded narrowing of the frequency profile of this growth rate.
Similar content being viewed by others
References
N. V. Karlov, Lectures on Quantum Electronics (Nauka, Moscow, 1983; CRC, Boca Raton, 1993).
A. Yariv, Introduction to Optical Electronics (Rinehart and Winston, New York, 1971; Vysshaya Shkola, Moscow, 1983).
D. N. Klyshko, Principles of Quantum Electronics (Nauka, Moscow, 1986).
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1979).
A. F. Aleksandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1988; Springer-Verlag, Berlin, 1984).
A. I. Akhiezer and I. A. Akhiezer, Electromagnetism and Electromagnetic Waves (Vysshaya Shkola, Moscow, 1985).
M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Nauka, Moscow, 1984; Kluwer, Dordrecht, 1989).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 11, 2003, pp. 95–101.
Original Russian Text Copyright © 2003 by N. Bukhman, S. Bukhman.
Rights and permissions
About this article
Cite this article
Bukhman, N.S., Bukhman, S.V. Relation between the spatial growth rate of a traveling wave and the temporal growth rate of a standing wave. Tech. Phys. 48, 1454–1459 (2003). https://doi.org/10.1134/1.1626779
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1626779