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We systematically study the fluorescence of low density Frenkel excitons in acrystal slab containing $N_T$ V-type three-level atoms. Based on symmetricquasi-spin realization of SU(3) in large $N$ limit, the two-mode excitonoperators are invoked to depict various collective excitations of thecollection of these V-type atoms starting from their ground state. By makinguse of the rotating wave approximation, the light intensity of radiation forthe single lattice layer is investigated in detail. As a quantum coherenceeffect, the quantum beat phenomenon is discussed in detail for differentinitial excitonic states. We also test the above results analytically withoutthe consideration of the rotating wave approximation and the self-interactionof radiance field is also included.Comment: 18pages, 17 figures. Resubmit to Phys. Rev.

Superradiance of low-density Frenkel excitons in a crystal slab of three-level atoms: The quantum interference effect