Absorption spectrum of one-dimensional chain with Frenkel's exiton under diagonal disorder represented by hyperbolic defects

A method for calculating the absorption spectrum of a long one-dimensional closed in a ring chain with Frenkel's exiton under diagonal disorder represented by hyperbolic singularities of atomic splitting as a function of atomic absorption is proposed. It is shown that such defects lead to appearance of a wing in a exiton zone of chain without defects, whose form does not depend on number and mutual positions of defects, while it's value is proportional to the sum of amplitudes of defects. The proposed method uses a continual approximation only.