Abstract
We study the propagation of an electromagnetic pulse in an inverted medium where atomic levels of interest have the same parity and an energy separation equal to twice the energy of the incident photons. We analyze the coupled atom-field evolution equations in the limit when incoherent atomic relaxation processes can be neglected, and derive the threshold conditions for amplification and a few exact conservation relations. The detailed evolution of the pulse through the inverted medium is investigated with the help of a hybrid computer.
Work partially supported by the Office of Naval Research contract number N00014-76-C-1082.
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References
For a nice survey see for example, L. Allen and J.H. Eberly Optical Resonance and Two-level Atoms, John Wiley and Sons (New York), 1976.
A very extensive literature is available on two-photon processes. For a critical comparison of different theoretical approaches and additional references see for example: D. Grischkowski, in Laser Applications to Optics and Spectroscopy, Vol. II of Physics of Quantum Electronics Eds. S.F. Jacobs, M. Sargent III, J.F. Scott, M.O. Scully (Addison-Wesley 1975), D. Grischkowski, M.M.T. Loy, P.F. Liao, Phys. Rev. A12, 2514 (1975).
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This logical scheme has a venerable history in laser physics. It was implemented in the context of the one-photon laser amplifier problem by A.T. Arecchi, R. Bonifacio IEEE, Jour. Quant. Electron, QE1, 169 (1965).
See D. Grischkowski et al. in Ref. 2.
This result was shown analytically by H.P. Yuen and F.Y.F. Chu in Ref. 5.
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© 1978 Plenum Press, New York
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Narducci, L.M., Johnson, L.G., Seibert, E.J., Eidson, W.W. (1978). Coherent Two-Photon Amplification in an Inverted Medium. In: Arecchi, F.T., Bonifacio, R., Scully, M.O. (eds) Coherence in Spectroscopy and Modern Physics. NATO Advanced Study Institutes Series, vol 37. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2871-1_7
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DOI: https://doi.org/10.1007/978-1-4613-2871-1_7
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