Dynamic localization of light in squeezed-like photonic lattices

Abstract

We investigate the dynamic localization of light in the sinusoidal bent squeezed-like photonic lattices, a class of inhomogeneous semi-infinite waveguide arrays. Our findings show that, dynamic localization takes place for the normalized amplitude of sinusoidal profile (α) above a critical value αc. In this regime, for any normalized amplitude α>αc, there is a specific spatial period (ℓ) of waveguides, in which the dynamical oscillation, with the same spatial period occurs. Moreover, the specific spatial period is a decreasing function of the normalized amplitude α. Accordingly, the dynamical oscillation and self-imaging is realized, in spite of the existence of inhomogeneous coupling coefficients and semi-infinite nature of the squeezed-like photonic lattices. In addition, a comparison between the dynamic localization and Bloch oscillation in squeezed-like photonic lattices reveals that for the same values of α (>αc), the variation in the width and the mean center of the Bloch oscillation profile are less than the corresponding values of the dynamic localization. Also, we propose the experimental conditions to observation of dynamic localization in squeezed photonic lattices.