Abstract: Essentially non-linear optical material characteristics of a semiconductor material grown at low temperatures can be significantly improved by the following measures: Doping with foreign atoms and/or additional thermal annealing. If, for example GaAs grown at 300° C. is doped with Be to a concentration of 3·1019 cm−3, then the response time is reduced from 480 fs (curve 1.1) to 110 fs (curve 3.1), without the absorption modulation being reduced by this or the non-saturable absorption losses being increased. Semiconductor materials, during the production of which at least one of the above measures was implemented, manifest influenceable, in particular short response times as well as simultaneously high absorption modulations and low non-saturable absorption losses. For this reason, they are eminently suitable for non-linear optical applications, such as optical information processing, optical communication or ultrashort laser pulse physics.