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   <subfield code="a">A line-by-line and layer-by-layer optimized method is used for the fast computation of new high resolution spectra in the submillimeter region for the stratospheric medium. The results are shown as synthetic spectra between 10 and 40 cm−1 and the presence of lines of minor gaseous constituents in the stratospheric medium is indexed. The purpose of the calculations is to determine better the spectral emission (better than 1 %) with a minimum computation time (less than 1'/cm−1). The high resolution spectra (5.10−4 cm−1) show excellent submillimeter emission lines; this opens a wide field of investigation for stratospherical studies.</subfield>
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