Methods and apparatus are described for detecting specific binding between first and second chemical entities. The first chemical entity in association with a first fluorophore is immobilized. The second chemical entity is allowed to bind with the immobilized first chemical entity. The second chemical entity is or becomes coupled to a second fluorophore, which forms a FRET pair with the first fluorophore. The bound chemical entities are exposed to radiation at an excitation frequency for either the first or the second fluorophore, and polarization anisotropy of a FRET fluorescent signal from the bound chemical entities is measured to detect specific binding between the first and second chemical entities. Techniques are also disclosed for detecting whether a FRET interaction is occurring between a first chemical entity including a donor fluorophore and a second chemical entity including an acceptor fluorophore, using simultaneous anisotropy measurements at the wavelengths of the donor and acceptor fluorophores.