| Popis: |
The shapes of inhomogeneously broadened resonance lines of defect centers in solids are generally calculated using the so-called statistical method. In this paper it is shown that this method is physically inconsistent. A revised statistical method is introduced relating the resonance lineshape to the spatial distribution of an individual defect center, the number of imperfections causing the broadening, the distribution of an individual imperfection with respect to the defect center, and the perturbation induced by an individual imperfection. Depending on the convergency properties of the first and second absolute moment of the perturbation induced by an individual imperfection the evaluation of the lineshape can be simplified considerably. The resonance lineshape in the limiting case of a large number of imperfections is investigated; under specific conditions, the lineshape is represented by a gaussian. |
