In a semiconductors, if all oscillations have the same eigenfrequency ω ω 0 and the broadening in the imaginary part of the dielectric function ε ε 2 ( ω ω ) results only from a finite damping γ γ , the system is said to be homogeneously broadened, and ε ε 2 ( ω ω ) has a Lorentzian profile. If the system contains many oscillators with slightly different frequencies about ω ω 0 however, then the system is inhomogeneously broadened.