We investigate adiabatic frequency conversion using epsilon near zero (ENZ) materials. We show that, while the maximum frequency conversion for a given change of permittivity does not exhibit an increase in the vicinity of the Re[εr]=0 condition, the change in permittivity can be achieved in a shorter length and, if the pump is also in the ENZ region, at a lower pump intensity. This slow propagation effect makes the conversion efficiency in the ENZ material comparable to that in micro-resonators and other structured slow light schemes, but unlike the latter, no nanofabrication is required for ENZ materials which constitutes their major advantage over alternative frequency conversion approaches. Our results, supported by experimental measurements, indicate that transparent metal oxides operating near the ENZ point are good candidates for future frequency conversion schemes.
INTRODUCTIONFrequency conversion is a signature characteristic and a key application of nonlinear optics [1]. It can be attained using both second and third order nonlinearities in various media. Second order processes require noncentrosymmetric media and include the well-known effects of sum and difference frequency generation while third order phenomena, which occur in any medium, include four-wave mixing processes as well as Raman effects. All of these frequency conversion schemes can be characterized as parametric processes where the optical properties are modulated with a certain frequency which causes the generation of oscillations at new frequencies. Typically, frequency conversion is well described by the coupled wave formalism [2] in which the energy flows back and forth between waves of different frequencies (often characterized as pump, signal and idler) depending on the phase relations between the waves (phase matching conditions).While the field of frequency conversion is well established, the development of powerful ultra-fast light sources has led to the observation of different effects where the entire spectrum of the incoming light wave shifts adiabatically in the presence of a rapid change of the refractive index, typically induced by a strong optical pump (although other methods are possible). These effects have been observed both in high-Q resonant dielectric structures (Fig. 1a) [3][4][5][6] and in free propagating waves inside nonlinear epsilon-near zero (ENZ) media [7][8][9]. Although several nonlinear processes have been shown to be enhanced in ENZ materials (Fig. 1b) [10][11][12], driving intense research [13,14], rapid and complete frequency conversion/ modulation represents a unique opportunity to explore novel applications, especially in imaging, sensing, and telecommunications. Currently, the research on adiabatic frequency conversion (AFC) is ongoing and it is not clear which approach (i.e. high-Q resonators or ENZ) is the most appropriate. With that in mind, we explore what characteristics are needed to achieve efficient AFC, giving special attention to ENZ materials, were we find the potential for large frequency...