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The stability of polarization, areas, and number of self-induced transparency(SIT)-solitons at the output from the LaF_3:Pr^{3+} crystal is theoreticallystudied versus the polarization direction and the area of the input linearlypolarized laser pulse. For this purpose the Vector Area Theorem is rederivedand two-dimensional Vector Area Theorem map is obtained. The map is governed bythe crystal symmetry and takes into account directions of the dipole matrixelement vectors of the different site subgroups of optically excited ions. TheVector Area Theorem mapping of the time evolution of the laser pulse allows oneto highlight soliton polarization properties.Comment: 3 pages, 3 figures; v2: minor corrected labels in Fig. 3 and its  cuptur

Vector area theorem mapping in crystals and polarization stability of SIT solitons