Resonant Transition Radiation and Solar Radio Bursts |
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| Authors: | L V Yasnov M Karlický E V Modin |
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| Institution: | (1) Radiophysical Research Institute of St.-Petersburg State University, St.-Petersburg, 198504, Russia;(2) Astronomical Institute, Academy of Sciences of the Czech Republic, 251 65 Ondřejov, Czech Republic |
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| Abstract: | This paper presents general relations for the intensity of the resonant transition radiation (RTR) and their detailed analysis.
This analysis shows that the spectrum amplitude of the x-mode at some frequencies for high-energy electrons can grow with
the magnetic field increase in some interval from zero value; it can even dominate over that for the o-mode. With further
magnetic field increase, the intensity of the RTR x-mode decreases in comparison with the intensity of the o-mode and this
decrease is higher for higher velocities of energetic electrons. The polarization of the RTR depends on the velocity of energetic
electrons, too. For velocities lower than some velocity limit v<v
i
the RTR emission is unpolarized in a broad interval of magnetic field intensities in the radio source. For reasonable values
of indices of the power-law distribution functions of energetic electrons, the RTR is broadband in frequencies (df/f≈0.2−0.4). Furthermore, we show various dependencies of the RTR and its spectral characteristics. Assuming the same radio
flux of the transition radiation and the gyro-synchrotron one at the Razin frequency, we estimate the limit magnetic field
in the radio source of the transition radiation. Then, we analyze possible sources of small-scale inhomogeneities (thermal
density fluctuations, Langmuir and ion-sound waves), which are necessary for the transition radiation. Although the small-scale
inhomogeneities connected with the Langmuir waves lead to the plasma radiation, which is essentially stronger than RTR, the
inhomogeneities of the ion-sound waves are suitable for the RTR without any other radiation.
We present the relations describing the RTR for anisotropic distribution functions of fast electrons. We consider the distribution
functions of fast electrons in the form of the Legendre polynomials which depend on the pitch-angle. We analyze the influence
of the degree of the anisotropy (an increase of the number of terms in the Legendre polynomial) on spectral characteristics
of the RTR. A comparison with previous studies is made. As an example of the use of the derived formulas for the RTR, the
24 December 1991 event is studied. It is shown that the observed decimetric burst can be generated by the RTR in the plasma
with the density inhomogeneities at the level 〈ΔN
2〉/N
2=2.5⋅10−5. |
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| Keywords: | Sun: flares Sun: radio radiation |
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