The method utilizes the physical phenomenon known as dispersion of the optical rotation. After passage of linearly polarized electromagnetic radiation through the optically active environment (rotator), with the rotating power characterized by a parameter p, and then through the analyzing polarizer, the function R(p) can be measured. For the given active medium and the relative orientation of polarization planes of the input light beam and the analyzing polarizer, R(p) has an unambiguous relation with the spectrum I(.lambda.) of the analyzed radiation (.lambda. stands for wavelength) and allows its unambiguous determination by special mathematical methods. In devices based on the above mentioned principle a linearly polarized collimated beam of analyzed radiation propagates through the optical rotator then passes through the analyzer and strikes a single-channel or multi-channel detector which measures R(p) as a function of the parameter p. Finally the desired spectrum is calculated from the known functional relation between the measured rotogram R(p) and I(.lambda.).