The Experts below are selected from a list of 276 Experts worldwide ranked by ideXlab platform

S.a. Uryupin - One of the best experts on this subject based on the ideXlab platform.

Juri Poutanen - One of the best experts on this subject based on the ideXlab platform.

  • Relativistic kinetic equation for Compton scattering of Polarized Radiation in a strong magnetic field
    Physical Review D, 2012
    Co-Authors: Alexander A. Mushtukov, Dmitrij I. Nagirner, Juri Poutanen
    Abstract:

    We derive the relativistic kinetic equation for Compton scattering of Polarized Radiation in strong magnetic field using the Bogolyubov method. The induced scattering and the Pauli exclusion principle are taken into account. The electron polarization is also considered in the general form of the kinetic equation. The special forms of the equation for the cases of the non-Polarized electrons, the rarefied electron gas and the two polarization mode description of Radiation are found. The derived equations are valid for any photon and electron energies and the magnetic field strength below about 10^{16} G. These equations provide the basis for formulation of the equation for Polarized Radiation transport in atmospheres and magnetospheres of strongly magnetized neutron stars.

  • Relativistic kinetic equation for induced Compton scattering of Polarized Radiation
    Astronomy & Astrophysics, 2001
    Co-Authors: Dmitrij I. Nagirner, Juri Poutanen
    Abstract:

    The relativistic kinetic equations describing time evolution and space dependence of the density matrices of Polarized photons and electrons interacting via Compton scattering are deduced from the quantum Liouville equation. The induced scattering and exclusion principle are taken into account. The Bogoliubov method is used in the frame of quantum electrodynamics. The equation for Polarized Radiation scattered by unPolarized electrons is considered as a particular case and is reformulated in terms of the Stokes parameters. The expressions for the scattering amplitudes and cross-sections are derived simultaneously.

K. Yu. Vagin - One of the best experts on this subject based on the ideXlab platform.

J. Freimanis - One of the best experts on this subject based on the ideXlab platform.

  • On Green's function for cylindrically symmetric fields of Polarized Radiation
    Journal of Quantitative Spectroscopy & Radiative Transfer, 2009
    Co-Authors: J. Freimanis
    Abstract:

    Analytic expressions for Green's function describing the process of transfer of Polarized Radiation in homogeneous isotropic infinite medium in case of cylindrical symmetry and nonconservative scattering are obtained. The solution is based on the set of systems of Abel integral equations of the first kind obtained using the principle of superposition, and the known expression of Green's function for Radiation fields with plane-parallel symmetry. Eigenvalue decompositions for the corresponding matrices of generalized spherical functions are found. Using this result the systems of Abel integral equations are diagonalized, and the final solution is obtained.

  • On Green's function for spherically symmetric problems of transfer of Polarized Radiation
    Journal of Quantitative Spectroscopy & Radiative Transfer, 2005
    Co-Authors: J. Freimanis
    Abstract:

    Analytic expressions for Green's function describing the process of transfer of Polarized Radiation in homogeneous isotropic infinite medium in case of spherical symmetry and nonconservative scattering are obtained. Spherical eigenfunctions of the homogeneous transfer equation are not used, due to their strong divergence; instead, direct transformation from plane-parallel to spherical symmetry is carried out, leading to convergent solutions. The possible existence of generalized eigenfunctions of homogeneous transfer equation is accounted for.

Dmitrij I. Nagirner - One of the best experts on this subject based on the ideXlab platform.

  • Relativistic kinetic equation for Compton scattering of Polarized Radiation in a strong magnetic field
    Physical Review D, 2012
    Co-Authors: Alexander A. Mushtukov, Dmitrij I. Nagirner, Juri Poutanen
    Abstract:

    We derive the relativistic kinetic equation for Compton scattering of Polarized Radiation in strong magnetic field using the Bogolyubov method. The induced scattering and the Pauli exclusion principle are taken into account. The electron polarization is also considered in the general form of the kinetic equation. The special forms of the equation for the cases of the non-Polarized electrons, the rarefied electron gas and the two polarization mode description of Radiation are found. The derived equations are valid for any photon and electron energies and the magnetic field strength below about 10^{16} G. These equations provide the basis for formulation of the equation for Polarized Radiation transport in atmospheres and magnetospheres of strongly magnetized neutron stars.

  • Relativistic kinetic equation for induced Compton scattering of Polarized Radiation
    Astronomy & Astrophysics, 2001
    Co-Authors: Dmitrij I. Nagirner, Juri Poutanen
    Abstract:

    The relativistic kinetic equations describing time evolution and space dependence of the density matrices of Polarized photons and electrons interacting via Compton scattering are deduced from the quantum Liouville equation. The induced scattering and exclusion principle are taken into account. The Bogoliubov method is used in the frame of quantum electrodynamics. The equation for Polarized Radiation scattered by unPolarized electrons is considered as a particular case and is reformulated in terms of the Stokes parameters. The expressions for the scattering amplitudes and cross-sections are derived simultaneously.