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Springer eBooks

Strong Departures from Uniform Plane Wave Pulse Propagation as a Result of Coherent Transverse Effects

F. P. Mattar, Maurice C. Newstein, P. Serafim, H. M. Gibbs, Bouwe Bolger, G. Forster, P. E. Toschek

Published Jan 1, 1978• 6 citations
Publisher
DOI
10.1007/978-1-4757-0665-9_20

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Computational results show that the conical emission and Rabi sidebands observed when a nearly resonant laser pulse propagates through an atomic vapor are the result of the breakup of the pulse into solitary waves. For an incident pulse with a transverse as well as a temporal profile, the crests and troughs of the 2-D solitary waves are curved in a time-radius plane. The temporal modulation associated with pulse breakup appears as Rabi sidebands in the spectrum, while the curvature of the solitary waves in the time-radius plane results in a transverse spatial modulation, resulting in conical emission in the far field. These results were obtained by performing detailed numerical calculations of the time-dependent paraxial propagation of a cylindrically symmetric laser pulse through a vapor of two-level atoms. Our results can be interpreted readily in terms of optical nutation on the Bloch sphere and in terms of noncollinear phase matching through the curvature of the solitary waves rather than through additional parametrically generated waves. The cone opening angle depends on the initial transverse profile of the pulse and the process of beam breakup as well as self-focusing.
Coherent pulse propagation began with McCall’s & Hahn’s discovery of self‐Induced‐Transparency (SIT)[1] theoretically and experimentally. Even for collimated beams of finite extent a diffraction‐induced phase develops. Using a perturbational treatment[2–5] the time‐ and radially‐dependent phase φ, its wavefront curvature ∂φ/∂ρ, and the associated transverse energy flux current JT=A 2∂φ/∂ρ are calculated. The energy is redistributed across the beams. The evolving pulse departs from the uniform‐plane‐wave (UPW) counterparts. The onset of the radial reshaping and dynamic self‐action is demonstrated.