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    Quartic solitons of a mode-locked laser distributed model

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    Dissipative quartic solitons have gained interest in the field of mode-locked lasers for their energy-width scaling which, if identical to the one found in conservative quartic solitons, would allow the generation of ultrashort pulses with high energies. Pursuing the characterization of such solitons, here we found soliton solutions of a distributed model for mode-locked lasers in the presence of group velocity and fourth order dispersions (GVD and 4OD respectively), for two saturable absorber saturation powers. We found that the energy of the pulses follows an inverse relation with the width, with most cases following a different trend than the one found for conservative quartic solitons. Nevertheless, for higher saturation powers and negative 4OD, the pulses showed a behaviour approximate to the one found in the conservative regime, and were the most energetic and the shortest

    Physical parameters in the hot spots and jets of Compact Symmetric Objects

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    We present a model to determine the physical parameters of jets and hot spots of a sample of CSOs under very basic assumptions like synchrotron emission and minimum energy conditions. Based on this model we propose a simple evolutionary scenario for these sources assuming that they evolve in ram pressure equilibrium with the external medium and constant jet power. The parameters of our model are constrained from fits of observational data (radio luminosity, hot spot radius and hot spot advance speed) versus projected linear size. From these plots we conclude that CSOs evolve self-similarly and that their radio luminosity increases with linear size along the first kiloparsec. Assuming that the jets feeding CSOs are relativistic from both kinematical and thermodynamical points of view, we use the values of the pressure and particle number density within the hot spots to estimate the fluxes of momentum (thrust), energy, and particles of these relativistic jets. The mean jet power obtained in this way is within an order of magnitude that inferred for FRII sources, which is consistent with CSOs being the possible precursors of large doubles. The inferred flux of particles corresponds to, for a barionic jet, about a 10% of the mass accreted by a black hole of 108M⊙10^8 {\rm M_{\odot}} at the Eddington limit, pointing towards a very efficient conversion of accretion flow into ejection, or to a leptonic composition of jets.Comment: 11 pages, 2 figures. Accepted for publication in Astrophysical Journa
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