A system for therapy of the eye by treating tissue by means of a nonlinear interaction with therapy radiation (4, 6), the system comprising: - a laser device (3, 5), which provides the therapy radiation (4, 6), - a focusing device, which comprises an image field lying in a therapy volume and which focuses the therapy radiation (4, 6) onto a focus in the image field in such a way that the treatment is producible by means of a nonlinear interaction within the tissue, - an xy-scanner device, disposed upstream of the focusing device, for the lateral displacement of the focus in the image field, - a z-scanner device (7, 8), which adjusts a depth position of the focus in the therapy volume, and - a control device, which actuates the xy-scanner device and the z-scanner device (7, 8), wherein - the laser device (3, 5) provides, as therapy radiation, a first short-pulse radiation at a first centroid wavelength and a second short-pulse radiation at a second centroid wavelength, which is spaced apart from the first centroid wavelength by at least 300 nm, wherein the first short-pulse radiation covers a first wavelength range about the first centroid wavelength on account of a pulse length and the second short-pulse radiation covers a second wavelength range about the second centroid wavelength on account of a pulse length, wherein - the system operates either with the first short-pulse radiation or the second short-pulse radiation, characterized in that - the system is embodied in respect of longitudinal chromatic aberrations and transverse chromatic aberrations in such a way that -- the system has a longitudinal chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the longitudinal chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a longitudinal chromatic aberration tolerance, and -- the system has a transverse chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the transverse chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a transverse chromatic aberration tolerance, and - the control device is embodied to actuate the xy-scanner device in such a way that the transverse chromatic aberration is compensated by a corresponding deflection function for the lateral displacement of the focus. - a laser device (3, 5), which provides the therapy radiation (4, 6), - a focusing device, which comprises an image field lying in a therapy volume and which focuses the therapy radiation (4, 6) onto a focus in the image field in such a way that the treatment is producible by means of a nonlinear interaction within the tissue, - an xy-scanner device, disposed upstream of the focusing device, for the lateral displacement of the focus in the image field, - a z-scanner device (7, 8), which adjusts a depth position of the focus in the therapy volume, and - a control device, which actuates the xy-scanner device and the z-scanner device (7, 8), wherein - the laser device (3, 5) provides, as therapy radiation, a first short-pulse radiation at a first centroid wavelength and a second short-pulse radiation at a second centroid wavelength, which is spaced apart from the first centroid wavelength by at least 300 nm, wherein the first short-pulse radiation covers a first wavelength range about the first centroid wavelength on account of a pulse length and the second short-pulse radiation covers a second wavelength range about the second centroid wavelength on account of a pulse length, wherein - the system operates either with the first short-pulse radiation or the second short-pulse radiation, characterized in that - the system is embodied in respect of longitudinal chromatic aberrations and transverse chromatic aberrations in such a way that -- the system has a longitudinal chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the longitudinal chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a longitudinal chromatic aberration tolerance, and -- the system has a transverse chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the transverse chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a transverse chromatic aberration tolerance, and -- the system has a longitudinal chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the longitudinal chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a longitudinal chromatic aberration tolerance, and -- the system has a transverse chromatic aberration at at least one of the two centroid wavelengths (30, 31), wherein a spectral characteristic of the transverse chromatic aberration in both wavelength ranges (30, 31) is constant in each case within the scope of a transverse chromatic aberration tolerance, and - the control device is embodied to actuate the xy-scanner device in such a way that the transverse chromatic aberration is compensated by a corresponding deflection function for the lateral displacement of the focus.