Self-induced parabolic surface states

We observed parabolic surface states during the nonlinear propagation of a Weber beams in an SBN crystal. The refractive index is modulated anisotropically using the optical induction technique. These states appear without the need for a pre-inscribed lattice in the material. Their characteristics can be tuned by adjusting the Weber beam’s scale, parabolicity, orientation, and power. We also observed oscillatory discrete surface states during the linear propagation of a probe Gaussian beam within the aperiodic Weber photonic lattice. In both cases, such specific parabolic states are observed as surface states extending across multiple adjacent parabolas, or edge parabolic states localized along the border parabola. Our approach presents the first demonstration of self-induced parabolic surface states in aperiodic systems.