Area theorem in a ring laser cavity

The generalization of the area theorem is derived for case a pulse circulating inside ring laser cavity. In contrast to standard theorem, which valid single pass traveling through resonant medium, obtained generalized takes into account medium-assisted nonlinear self-action effects medium excitation left by at previous round-trip in was then applied theoretical description dynamics single-section ring-cavity and steady solutions parameters were found both limit lumped model spatially-extended system. can be used convenient analytical different coherent photonic devices, like coherently mode-locked lasers or compressors, as well analysis photon echo formation cavity-based setups.