dorsal/arxiv
View SchemaExistence of superposition solutions for pulse propagation in nonlinear resonant media
| Authors | P. K. Panigrahi, G. S. Agarwal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210143 |
| URL | https://arxiv.org/abs/quant-ph/0210143 |
| DOI | 10.1103/PhysRevA.67.033817 |
| Journal | Phys. Rev. A 67, 033817 (2003) |
Abstract
Existence of self-similar, superposed pulse-train solutions of the nonlinear, coupled Maxwell-Schr\"odinger equations, with the frequencies controlled by the oscillator strengths of the transitions, is established. Some of these excitations are specific to the resonant media, with energy levels in the configurations of $\Lambda$ and $N$ and arise because of the interference effects of cnoidal waves, as evidenced from some recently discovered identities involving the Jacobian elliptic functions. Interestingly, these excitations also admit a dual interpretation as single pulse-trains, with widely different amplitudes, which can lead to substantially different field intensities and population densities in different atomic levels.
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"abstract": "Existence of self-similar, superposed pulse-train solutions of the nonlinear,\ncoupled Maxwell-Schr\\\"odinger equations, with the frequencies controlled by the\noscillator strengths of the transitions, is established. Some of these\nexcitations are specific to the resonant media, with energy levels in the\nconfigurations of $\\Lambda$ and $N$ and arise because of the interference\neffects of cnoidal waves, as evidenced from some recently discovered identities\ninvolving the Jacobian elliptic functions. Interestingly, these excitations\nalso admit a dual interpretation as single pulse-trains, with widely different\namplitudes, which can lead to substantially different field intensities and\npopulation densities in different atomic levels.",
"arxiv_id": "quant-ph/0210143",
"authors": [
"P. K. Panigrahi",
"G. S. Agarwal"
],
"categories": [
"quant-ph",
"nlin.SI"
],
"doi": "10.1103/PhysRevA.67.033817",
"journal_ref": "Phys. Rev. A 67, 033817 (2003)",
"title": "Existence of superposition solutions for pulse propagation in nonlinear resonant media",
"url": "https://arxiv.org/abs/quant-ph/0210143"
},
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