Production of MSSM Higgs Bosons at Future $gammagamma$ Colliders

Future $gammagamma$ colliders allow the production of the heavy neutral MSSM Higgs bosons $H$ and $A$ as single resonances. The prospects of finding these particles in the $bbar{b}$ and the neutralino-pair final states have been analysed. The $H,A$ bosons can be discovered for medium values of $tanbeta$ with masses up to 70--80% of the initial $e^pm e^-$ c.m. energy. This production mode thus covers parts of the supersymmetric parameter space that are not accessible at other colliders.