Three-component quasiperiodic superlattice and its Fourier spectrum

Abstract

The domain-inverted ferroelectric materials, or simply the dielectric superlattice, can be patterned into different configurations. For example, there are the periodic, quasiperiodic, Thue-Morse and several other types. The periodic superlattice is widely used for the second-harmonic generation, sum-frequency generation and optical parametric oscillation, for which only one optical parametric process is involved. The two-components quasiperiodic superlattice has been proved useful to some coupled parametric processes such as the direct third-harmonic generation. In this paper a three-component quasiperiodic superlattice has been discussed theoretically. Using the projection method, the analytical expression of its Fourier spectrum has been derived. Relations with the periodic and two-components quasiperiodic superlattices has been given. The results might be useful to the design of nonlinear optical devices related to the coupled parametric processes.