The light-detonation wave structure is investigated. It is shown that self-supported laser radiation absorption waves can propagate in the Jouguet detonation or undercompressed detonation regimes. The conditions of realization of these regimes are found numerically. It is shown that the undercompressed detonation regime is realized if the radiation flux is sufficiently powerful. In the case of a light-detonation wave this regime is theoretically detected and investigated for the first time.