<title>Theory of hyperchromats with linear longitudinal chromatic aberration</title>

Optical lens systems have always chromatic aberration. Optical systems that are used for imaging in optical instruments, e.g. in binoculars, microscopes, cameras and projectors, have chromatic aberration corrected very well in order not to reduce imaging quality. In many cases, it is necessary to use optical systems with relatively large chromatic aberration. The optical systems that are characterized by a chromatic aberration of a predefined form are called hyperchromats. Our work describes a theory of hyperchromats with a linear dependence of longitudinal chromatic aberration on wavelength. The equations are derived for calculation of basic design parameters of these optical systems and several examples of calculations are shown. Mentioned optical systems can be used especially in 3D imaging systems and confocal microscopy.