Abstract
The role of spectral measurements in science and technology is noted. The measurement of optical spectra by an idealized spectral device based on an acousto-optic tunable filter is considered. It is shown that the acousto-optical methods of spectral measurements can be considered as a manifestation of the bilinear property of acousto-optical interaction. In this context, the transition to linear integral operators describing the measurement of the spectra of radio and optical signals is made. An analysis is given of the procedure for measuring the optical spectrum with a spectral device based on an acousto-optic tunable filter with an abrupt change in the frequency of the control signal. The comprehensive characteristic of such a device, its complex spread function, as well as the result of measuring the optical spectrum in the form of an energy spectrum, has been established.
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