Results are given of the investigation of the distribution of photo-generated charge carriers in semiconductor structures where the band-gap, E,, varies with the position, z, in a nonlinear manner. Semiconductor structures which band-gap monotonically decreases with the position according to a quadratic and exponential law are considered, as well as structures where E,(z) has a local extremum. A possible application of the nonlinear band-gap semiconductor in optoelectronic devices is discussed. IIpeacTasneHbi pe3ynb~a~b1 TeopeTmecI-Eoro nccnenosaHciR pacnpeneneam Hocmeneii 3apHna, reHepHp0BaHHbIX CBeTOM B llOJlYllPOBOnHHHOBbIX CTpyKTypaX, IHllpllHa 3alIpeWeHHOfi 30HbI E, RBJIReTCR HeJlllHefiHOfi @YHKqEl& OT HOOp@iHaTbI 2. PaCcMaTpH-BaIOTCII IlOJIyIIpOBO~HHKOBbIe CTpYKTYpbI, WllpklHa 3allpelLleHHOfi 30HbI B HOTOPbIX MOHO-TOHHO yMeHbLUaeTCII BnOJIb KOOPAHHaTbI IIO KBaApaTH4HOMY II 3KCllOHeH~MaJIbHOMY 3aHOHY, a TaIERCe CTPYKTYPbI, rne E,(Z) MMeI OT JlOKaJlbHbIfi 3KCTpeMYM. 06CYWAaeTCR B03MOECHOe IIpllMeHeHHe IIOnyIIpOBO~HMHOB C HeJlHHefiHbIM I13MeHeHHeM IHllPIlHbI 3aIIpeWeHHOfi 30HbI npkI KOHCTpYllpOBaHYrl4 OlIT03JleKTpOHHbIX npH60pOB.