Second-Harmonic and Third-Harmonic Generation in the Thue-Morse Dielectric Superlattice

Theoretical work on the optical properties of the one-dimensional dielectric superlattice is extended. By means of a transfer matrix method, the second-harmonic and third-harmonic generation in a one-dimensional finite Thue-Morse dielectric superlattice is analysed. The electric field amplitude variables of the second-harmonic and third-harmonic can be expressed by the formula of matrices. Taking advantage of numerical procedure, we discuss the dependence of the second-harmonic and third-harmonic on the fundamental wavelength and the field amplitude variables of the fundamental wave. High conversion efficiency of the third-harmonic can be obtained at some special fundamental wavelength.