Abstract
A hyperbolic medium will transfer super-resolved optical waveforms with no distortion, support negative refraction, superlensing, and harbor nontrivial topological photonic phases. Evidence of hyperbolic effects is found in periodic and resonant systems for weakly diffracting beams, in metasurfaces, and even naturally in layered systems. At present, an actual hyperbolic propagation requires the use of metamaterials, a solution that is accompanied by constraints on wavelength, geometry, and considerable losses. We show how nonlinearity can transform a bulk KTN perovskite into a broadband 3D hyperbolic substance for visible light, manifesting negative refraction and superlensing at room-temperature. The phenomenon is a consequence of giant electro-optic response to the electric field generated by the thermal diffusion of photogenerated charges. Results open new scenarios in the exploration of enhanced light-matter interaction and in the design of broadband photonic devices.
Highlights
A hyperbolic medium will transfer super-resolved optical waveforms with no distortion, support negative refraction, superlensing, and harbor nontrivial topological photonic phases
By g is the the diffusive quadratic length scale electro-optic coefficient, χPNR the low-frequency susceptibility dominated by super-cooled polar-nanoregions (PNRs), and KBT/q is the thermal voltage. This implies a passage from a closed-surface topology for α < 1 to an open-surface two-sheet hyperbolic topology for α > 1 (Fig. 1A, yellow surfaces) as α is swept through the α = 1 critical value
As light passes from the elliptical medium to the hyperbolic medium, the boundary conservation of the transverse component of kx 1⁄4 k0x causes the transmitted wave to undergo negative refraction: the original Poynting vector S is redirected along the normal to the hyperbolic isofrequency surface, S0, opposite to what noprmffiffiffiffiaffiffilffilffiffiyffiffiffiffioccurs in standard refraction
Summary
A hyperbolic medium will transfer super-resolved optical waveforms with no distortion, support negative refraction, superlensing, and harbor nontrivial topological photonic phases. In distinction to fabricated hyperbolic materials, a self-induced topology acts continuously on the propagating beams, so that a transition can occur far from the input facet, as determined by the actual intensity at a given position z and the overall exposure at that point t.
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