Binary optical elements have many applications. One of the principal limitations of these lenses is abundant chromatic aberration that prohibits broadband use without design compensation. A novel configuration is presented that exploits this typically unwanted effect to create a hyperspectral imager. Diffractive lens′ focal length is inversely proportional to wavelength. The change in the focal length changes the F number of the system and therefore the magnification changes as a function of wavelength. The magnification is different for each wavelength in the recorded spectra, which creates image registration error, and provides inaccurate relative spectral signal strength. In result, the precision of object image reconstruction algorithms is restricted. To compensate for this shortcoming, the optical system with a zoom lens is designed by means of optical two component. The problem is solved successfully in theory. The theoretical formulas are provided.