The most significant problems of determining the dynamic range of new acousto-optical spectrometers and processors for astrophysical applications are under discussion. In so doing, two factors governing the dynamic range of these acousto-optical systems are chosen for the investigations. At first, the influence of the acoustic attenuation along large-aperture acousto-optical cells on the desired levels of lobes in a focal plane of the integrating lens as analyzed, and then potential capabilities of exploiting the incident light beam apodization for increasing the dynamic range of those acousto-optical systems are considered theoretically and within preliminary experiments.