The invention relates to the field of surgical lasers and their controllers aswell asmethod for the treatment of a transparent material, in particular an eye lensand/or acornea, especially for the treatment of presbyopia. In existing methods oftreatment ofan eye lens and/or cornea, cavitation bubbles and shockwaves are produced. Amethod of treating an eye lens and/or cornea and a controller for carrying outthemethod avoid such problems by providing that a cut surface is generated by apluralityof laser pulses where the laser beam is aligned in the plane of the cutsurface ortangentially to it and the distance between laser beam focusing points in thelaser beamdirection is one or more Rayleigh lengths.
