Band structure engineering and parametric process in photonic floquet media

Abstract

System of Floquet or periodically-driven in time has attracted a great attention in recent years as it allows a variety of novel phenomena such as non-reciprocal propagation, topological edge states, amplification, etc. which can be explained by effective band structure analysis. This dissertation proposes a photonic Floquet media consisting of an array of time-varying resonators equipped with varactors and demonstrates that it is interpreted by non-Hermitian Hamiltonian through a time-variant transmission line model. Furthermore, it was shown that the band structure which can be engineered from the Fourier transformed signal or phase retardation measurements, and the parametric process occurring in the Floquet media are good agreement with the theoretically predicted results.