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Abstract
Second-harmonic (SH) and direct third-harmonic generation (THG) in a one-dimensional finite Cantor-type dielectric superlattice (DSL) can be treated exactly by using a transfer matrix method. Taking advantage of a numerical technique, we discuss the dependence of the SH and TH on the wavelength and the field amplitude variables of the fundamental wave as well as structural parameters of a Cantor-type DSL. Under typical structural parameters, high conversion efficiency of the SH and TH can be obtained at some special fundamental wavelength.
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