Energy Exchange Between the Field and the Active Medium of the Waveguide
Abstract
The work based on a semiclassical description, presents the results of studying the processes of absorption and radiation of a field in the form of a standing wave in a waveguide filled with a two-level active medium. Under conditions of spatial inhomogeneity of the field intensity, interference of quasi-periodic oscillations of population inversion occurs in different local regions of the waveguide. A quasiperiodic change in population inversion is determined by the Rabi frequency, which is known to be associated with the probability of induced radiation with a positive population inversion, or induced absorption with its negative value. Since the population inversion change is accompanied by absorption or emission of field quanta, this leads to the exchange of energy between the field and the active medium located in the waveguide. It is shown that the attenuation of a large-amplitude field to a waveguide filled with an unexcited active medium is nonlinear. In the developed mode, this process has the character of energy exchange between the field and the active medium. In this case, the wave attenuation is replaced by its growth, just as it happens in the well-known case of Landau kinetic damping. Competition of the processes of radiation and absorption leads to the fact that the nature of the oscillations (nutations) of the population inversion at different points of the waveguide space is different. The interference of nonsynchronous spatially localized oscillations of the population inversion in the volume of the waveguide leads to changes in the field amplitude. The paper also discusses the process of field excitation in a waveguide with a pre-inverted two-level active medium, taking into account external mechanisms for the absorption of wave energy. Consideration of these problems is important for understanding the processes of generation of induced radiation, which, as noted by C. Towns, is to a large extent coherent radiation.
Downloads
References
A.S. Davydov, Quantum mechanics, (Fizmatgiz, Moscow, 1963), pp. 748. (in Russian)
L. Allen and J. Eberly, Optical resonance and two-level atoms, (John Wiley and Sons, New York, London, Sydney, Toronto, 1975), pp. 222.
S.G. Zeiger, Yu.L. Klimontovich, P.S. Landa, E.G. Lariontsev and E.E. Fradkin, Wave and fluctuation processes in lasers, (Nauka, Moscow, 1974), pp. 415. (in Russian)
Landa P.S. Auto-oscillations in distributed systems, (Nauka, Moscow, 1983), pp. 320.
G. Haken, Synergetics, (Mir, Moscow, 1980), pp. 403. (in Russian)
V.V. Yanovskiy, Лекции о нелинейных явлениях. Том 1 [Lectures on nonlinear phenomena, Vol. 1], (Institute of Single Crystals, Kharkiv, 2006), pp. 456; V.V. Yanovskiy, Лекции о нелинейных явлениях. Том 2 [Lectures on nonlinear phenomena, Vol. 2], (Institute of Single Crystals, Kharkiv, 2007), pp. 448. (in Russian)
V.A. Buts, Problems of Atomic Science and Technology, 5(6), 146-148 (2012).
V.M. Vorobiev, V.M. Kuklin, Letters in ZhTF, 13(22), 1354-1360 (1987).
E.V. Belkin, A.V. Kirichok and A.S. Petrenko, Problems of Atomic Science and Technology, 4, 299-301 (2010).
V.M. Kuklin, Problems of atomic science and technology, Series “Plasma Electronics and New Methods of Acceleration”, 4(122), 91–95 (2019).
A.A. Andronov, Izvestiya Vuzov. Radiophysics, 4(5), 861–866 (1961). (in Russian)
Ch. Towns, UFN, 88(3), 461–483 (1966). (in Russian)
Citations
On the Attenuation of a Wave Packet in Limited Systems Filled With an Active Medium and Plasma
(2020) East European Journal of Physics
Crossref
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).