We show that high repetition rate supercontinuum generation in solids is accompanied by the emission of conical third harmonic, whose occurrence serves as straightforward indication of the onset of in-bulk optical damage at its early stage. It is shown that conical third harmonic generation obeys noncollinear phase matching condition, which involves reciprocal lattice vector of a nanograting inscribed by femtosecond filament in the volume of transparent material. The universality of phenomenon is justified by the experiments in various transparent crystals and glasses and under various settings of focusing condition, pulse energy, repetition rate, exposure time and laser wavelength.
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