  Proton beams generated from laser acceleration show merit for their unique
spatial (micron-size) and temporal (picosecond) properties, which make them
desirable for many potential applications. However, the large energy spread and
divergence angle make it difficult to maintain these beam properties after
delivery. This hinders the wide application of laser acceleration. In this
paper, we design a double achromatic beam translation system (DABTS), based on
weak-focusing magnets, to realize achromatic transmission in both the
horizontal and vertical directions, and compress the bunch length of the
delivered proton beam at the same time. We make use of fringe angles and
special steering magnets to effectively reduce the influence of chromatic
aberrations and high-order nonlinear terms and realize close to ideal
point-to-point optics. We believe this work contributes to the ongoing effort
to apply laser accelerators to a variety of fields.
