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Modeling of dynamics of a femtosecond Kerr-lens mode-locked laser by the mode decomposition of the intracavity beam

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Radiophysics and Quantum Electronics Aims and scope

Abstract

A full spatio-temporal model is used for analyzing the features of generation of femtosecond pulses in a Kerr-lens mode-locked laser. The developed algorithm involves the field decomposition in terms of Laguerre-Gaussian functions which are the modes of empty space. Polarization of the medium is calculated from the Bloch equations for the two-level transition. With allowance for the frequency-dependent diffraction, such a method allows us to describe generation of pulses with a duration of several femtoseconds. It is shown that diffraction results in a shift of the carrier frequency of sub-10-fs pulses toward shorter wavelengths. A multiple-pulse oscillation regime can be realized near zero group-velocity dispersion in the cavity. It is shown that such a regime can be realized in the absence of higher-order dispersion. Strong coupling between the spatial and temporal characteristics of the field is observed for the pulses with a duration of several femtoseconds. This leads to a complicated dependence of the beam size on its power and, therefore, to a complicated variation in power-dependent losses. Due to this feature, regimes of generation of ultrashort pulses cannot be correctly described by models in which power-dependent losses are introduced artificially.

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Authors and Affiliations

  1. Saratov State University, Saratov, Russia

    A. I. Konyukhov & L. A. Melnikov

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  1. A. I. Konyukhov
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  2. L. A. Melnikov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 47, Nos. 10–11, pp. 841–856, October–November, 2004.

This work was partially supported by the grant for young scientists (Y1-P-06-13) of the BRHE program (REC-006). We thank Alexander Apolonsky (Photonics Institute, Vienna University of Technology) for useful remarks.

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Konyukhov, A.I., Melnikov, L.A. Modeling of dynamics of a femtosecond Kerr-lens mode-locked laser by the mode decomposition of the intracavity beam. Radiophys Quantum Electron 47, 755–768 (2004). https://doi.org/10.1007/s11141-005-0014-9

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  • DOI: https://doi.org/10.1007/s11141-005-0014-9

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