Abstract
The last 40 years have witnessed an intensive and targeted growth of interest in the field of nonlinear optics, as a fascinating new field of research both with a vastness of applications in several systems related to communications, optical computing, etc. Furthermore, the analytical techniques, involved in the study of nonlinear optical phenomena, can be applied in other branches of the nonlinear physics, being tools of general character, as the perturbative approach used several times in the present thesis. The continuous development of ultra-short pulsed lasers allowed a sophisticated enlargement of the analysis of nonlinear optics on a wide range of systems, specifically concerning the matter-radiation interaction in the highly nonlinear regime.
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Notes
- 1.
The Slowly Varying Envelope Approximation (SVEA) assumes that the spatial and temporal variations on scale comparable to the wavelength or the optical cycle of the field envelope of the forward (the back-reflected wave is neglected: in the disordered case considered here, this assumption is not longer valid) traveling wave can be neglected.
- 2.
The electromagnetic field can be considered constant on the atomic scale.
References
Shen YR (1976) Rev Mod Phys 48:1
Ziolkowski RW, Arnold JM, Gogny DM (1995) Phys Rev A 52:3082
Slavcheva G, Arnold JM, Wallace I, Ziolkowski RW (2002) Phys Rev A 66:063418
Slavcheva G, Arnold J, Ziolkowski R (2004) IEEE J Sel Top Quantum Electron 10:1052
Dodd R (1982) Solitons and nonlinear wave equations. Academic, London
McCall SL, Hahn EL (1969) Phys Rev 183:457
McCall SL, Hahn EL (1967) Phys Rev Lett 18:908
Mantsyzov B, Mel’nikov I, Aitchison J (2004) IEEE J Sel Top Quantum Electron 10:893
Mel’nikov I, Aitchison J (2005) Appl Phys Lett, vol 87
Rosanov NN, Kozlov VV, Wabnitz S (2010) Phys Rev A 81:043815
Lamb GL (1971) Rev Mod Phys 43:99
Maimistov AI, Basharov AM, Elyutin SO, Sklyarov YM (1990) Phys Rep 191:1
Allen L, Eberly L (1975) Optical resonance and two-level atoms. Wiley, New York
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Folli, V. (2012). The Maxwell-Bloch Equations. In: Nonlinear Optics and Laser Emission through Random Media. Springer Theses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4513-1_6
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