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High-index dielectrics can confine light into nano-scale leading to enhancednonlinear response. However, increased momentum in these media can deterioratethe overlap between different harmonics which hinders efficient nonlinearinteraction in wavelength-scale resonators in the absence of momentum matching.Here, we propose an alternative approach for light confinement in anisotropicparticles. The extra degree of freedom in anisotropic media allows us tocontrol the evanescent waves near the center and the radial momentum away fromthe center, independently. This can lead to a strong light confinement as wellas an excellent field overlap between different harmonics which is ideal fornonlinear wavelength conversion. Controlling the evanescent fields can alsohelp to surpass the constrains on the radiation bandwidth of isotropicdielectric antennas. This can improve the light coupling into these particles,which is crucial for nano-scale nonlinear optics. We estimate thesecond-harmonic generation efficiency as well as optical parametric oscillationthreshold in these particles to show the strong nonlinear response in theseparticles even away from the center of resonances. Our approach is promising tobe realized experimentally and can be used for many applications, such aslarge-scale parallel sensing and computing.

Confining light in all-dielectric anisotropic metamaterial particles for nano-scale nonlinear optics