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Context. Spectroscopic analyses to interpret the spectra of the brightestsupernovae from the UV to the near-IR provide a powerful tool with greatastrophysical potential for the determination of the physical state of theejecta, their chemical composition, and the SNe distances even at significantredshifts.  Methods. We report on improvements of computing synthetic spectra for SNIawith respect to i) an improved and sophisticated treatment of thousands ofstrong lines that interact intricately with the "pseudo-continuum" formedentirely by Doppler- shifted spectral lines, ii) an improved and expandedatomic database, and iii) the inclusion of energy deposition within the ejecta.  Results. We show that an accelerated lambda iteration procedure we havedeveloped for the mutual interaction of strong spectral lines appearing in theatmospheres of SNeIa solves the longstanding problem of transferring theradiative energy from the UV into the optical regime. In detail we discussapplications of the diagnostic technique by example of a standard SNIa, wherethe comparison of calculated and observed spectra revealed that in the earlyphases the consideration of the energy deposition within the spectrum-formingregions of the ejecta does not qualitatively alter the shape of the spectra.  Conclusions. The results of our investigation lead to an improvedunderstanding of how the shape of the spectrum changes radically as function ofdepth in the ejecta, and show how different emergent spectra are formed as aresult of the particular physical properties of SNe Ia ejecta and the resultingpeculiarities in the radiative transfer. This provides an important insightinto the process of extracting information from observed SNIa spectra, sincethese spectra are a complex product of numerous unobservable SNIa spectralfeatures which are thus analyzed in parallel to the observable spectralfeatures.

astronomy and astrophysics

Non-LTE models for synthetic spectra of type Ia supernovae. III. An  accelerated lambda iteration procedure for the mutual interaction of strong  spectral lines in SN Ia models with and without energy deposition