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Springer eBooks

Quantum Theory of Interaction of a Resonant Field with a Nonlinear Medium Modelled as an Anharmonic Oscillator

G. S. Agarwal, Ravinder Rupchand Puri

Published Jan 1, 1990• 0 citations
Publisher
DOI
10.1007/978-1-4613-0847-8_3

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In this paper a completely classical model for laser action is discussed. An active medium consisting of classical anharmonic oscillators interacts with a classical electromagnetic field in a resonant cavity. Comparison with the case of a medium consisting of harmonic oscillators shows the significance of nonlinearities for producing self-sustained oscillations in the radiation field. The results for the classical model are found to be similar to those for a semiclassical model of the ammonia-beam maser. The conclusion is that laser action is not intrinsically a quantum-mechanical effect. The classical-laser theory as given in this paper can also be applied to the case of the electron-cyclotron maser.
The speci c features of the theory of resonant interactions of electromagnetic coherent elds with an anharmonic oscillator, as compared to the case of a multilevel atom, are highlighted. It is shown that within the framework of the local approach - the algebraic resonance perturbation theory - it is possible to account for the requirements of the global approach of the theory of open quantum systems. Based on the auxiliary model of the «internal nonlinearity» of the anharmonic oscillator, the possible conditions for the resonance of a coherent wave with an anharmonic oscillator involving the absorption of a single photon are analyzed.