Ionization cooling of muon beam by multistage system of lithium lenses with matching sections

System of lithium lenses with matching sections as the last stage of ionization cooling for muon collider is considered. The matching section including accelerating cavities, straight and bent solenoids, and wedge absorbers provide both acceleration and focusing of the beam as well as transverse-longitudinal emittance exchange. Results of analytical calculations and Monte Carlo simulations with scattering and straggling are presented. Suppression of nonlinear and chromatic effects is discussed.