Third-harmonic generation in a one-dimensional photonic-crystal-based amorphous nanocavity

Abstract

We report a large enhancement of third-harmonic generation in the one-dimensional dielectric photonic-crystal-based amorphous nanocavity. The enhancement took place at the frequency of defect mode and was a pure χ(3) nonlinear process. A great increase of third-harmonic intensity up to approximately five orders of magnitude was demonstrated, which was attributed to field localization in the range of nanocavity.

10.1007/s11447-008-2017-9

“…From Eqs. (12) and (13) one can easily derive a recurrence relation for the coefficients R m and R m + 1 in adjacent sublayers: (14) Here, r m = (q m -q m + 1 )/(q m + q m + 1 ). Using this recurrence relation and taking into account the boundary condition R M + 1 = 0, we can determine all values of R m starting from the right boundary of the PC.…”

“…Photonic crystal materials with defects made it possible to develop new types of waveguidesphotonic crystal waveguides [6,7], high-Q nanoresonators [8,9], and low-threshold lasers [9,10]. In [11][12][13][14], methods are proposed for increasing the efficiency of nonlinear optical processes. The development of the component base for optoelectronics and information technology is discussed in [2].…”

Time resolved nonlinear spectroscopy at the band edge of 1D photonic crystals

“…These properties are also very beneficial to favour nonlinear interactions. For instance, the large dispersion observed at the band edge can be used to control phase matching in second and third order wavelength conversion mechanisms [3][4][5][6][7]. Even the photonic band gap that prevents light to propagate inside the structure can be used to realize new waveguide propagation mechanisms that can favour nonlinearities [8,9].…”