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Russian Physics Journal

Spectral distortions of optical pulses in resonant media of complex spatial structure

Yury V. Kistenev, Alexander V. Shapovalov

Published May 1, 1996• 0 citations
Publisher
DOI
10.1007/bf02436782

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Nonstationary energy exchange between reading pulse and reconstructed waves is analyzed as a function of their energy and spectral characteristics, as well as of their small-scale instability. It is shown that for small values of spatial frequencies, (kappa) 1, in transverse structure of object wave, phase-locking of reconstructed waves is observed which stabilizes the energy exchange. At the same time the efficiency of wavefront reconstruction is substantially influenced by the instability of the reading pulse with respect to small-scale perturbations of its transverse structure. With increasing (kappa) 1 the above process depends also on the effect of phase accumulation. In optically dense media the suppression of instability is not observed, but there are special conditions defined by the value and sign of detuning of reference pulse carrier frequency from resonance, under which this instability grows slowly.
The spatial effect of ultrashort pulse laser propagating through the cylindrical symmetry resonance media was discussed by solving the Maxwell-Bloch equations simultaneously with the definite differential method.Results indicate that the propagating of a 2π pulse form would no longer be a soliton when spatial effect was taken into account,its profile would distort, and the degree of distortion depends on the interaction intensity of laser and material: the stronger interaction,the more distortion till the profile split.The interaction intensity was decided by such elements as the laser intensity,the dipole of material,and the concentration of resonance particles.Two problems were solved in numerical calculation,one was that a term of 1/r in Maxwell was divergence in the cylindrical center where r=0,another was that the value of optical field at the cylindrical center was difficult to be decided when the cylindrical center set as a boundary condition in the Maxwell equation.So the values of optical field need just calculating from the cylindrical center to the cylindrical boundary,comparing with that from one cylindrical boundary to another cylindrical boundary,nearly half CPU time and RAM are saved.
Laser propagating through resonance media taking into account of spatial effect was discussed by simultaneously solving the Maxwell-Bloch equations with definite differential method. Results indicate that the propagation of a 2π pulse form would no longer be a soliton, its profile would expand, and the degree of distortion depends on the interaction intensity of laser and material: stronger interaction causes more distortion till the profile split. The interaction intensity was decided by such elements as the laser frequency, laser intensity, the dipole of material, detuning and the concentration of resonance particles．