Physics
Scientific paper
Dec 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufmsa32a0666l&link_type=abstract
American Geophysical Union, Fall Meeting 2001, abstract #SA32A-0666
Physics
2407 Auroral Ionosphere (2704), 2419 Ion Chemistry And Composition (0335), 2455 Particle Precipitation, 3230 Numerical Solutions, 3260 Inverse Theory
Scientific paper
Precipitating electrons are the main ionization source in the polar ionosphere. They determine practically all important electrodynamical properties of an ionosphere. So, the form of the spectrum and its time history allows to identify the zone of the precipitating particles source in magnitosphere in different substorm phases. It's worthwhile to note that quantitative estimations of the full energy flow is important for estimation of energy balance in atmosphere, and effects, caused by invasions of the high-energy particles must be taken into account in the study of the middle atmosphere chemistry. Incoherent radars are unique and powerful source for the observation and measurements of an ionosphere electrodynamic parameters. In principle, it is possible to determine the energy spectrum of precipitating electrons on their data. From mathematical point of view the problem of spectrum recovering is a linear integral Fredholm equation of the 1st kind, which is the classical ill-posed problem. The kernel of this integral equation defines the function of the electron energy losses in the atmosphere. Up to date a number of methods have been developed for the reconstruction of spectrum with energies E<30 keV. These codes are based on the least square technique and their solutions are unstable, as evidenced by presence of oscillations and collapse. These problems arise as from the mathematical complexity of ill-posed equation, so as from the indecorum of a quasistatic approach and the concept of an effective recombination coefficient α eff(h). To avoid the first problem, we propose to use the regularization methods for spectra recovering. They allow to restore effectively the precipitating spectra even when altitude electron density profile is noisy. The comparison of least-squares, Tikhonov regularization and adaptive optimal algorithms is presented for model problems and for satellite data as well. New model is given for α eff(h) determination in various geophysical conditions. The possibility of real-time spectra recovering, which, in turn, is based on the concept of dynamical regularization, is discussed.
Lyakhov Andriy
Osepian Aleftina
Smirnova Natalia
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