Second-Harmonic Generation in Mie-Resonant GaAs Nanowires

Abstract

We investigate the enhancement of second-harmonic generation in cylindrical GaAs nanowires. Although these nanostructures confine light in two dimensions, power conversion efficiencies on the order of 10 − 5 with a pump peak intensity of ~ 1 GW / cm 2 are possible if the pump and the second-harmonic fields are coupled to the Mie-type resonances of the nanowire. We identify a large range of nanowire radii in which a double-resonance condition, i.e., both the pump and the second-harmonic fields excite normal modes of the nanowire, induces a high-quality-factor peak of conversion efficiency. We show that second-harmonic light can be scattered with large efficiency even if the second-harmonic photon energy is larger than 1.42 eV, i.e., the electronic bandgap of GaAs, above which the material is considered opaque. Finally, we evaluate the efficiency of one-photon absorption of second-harmonic light and find that resonant GaAs nanowires absorb second-harmonic light in the near-field region almost at the same rate at which they radiate second-harmonic light in the far-field region.

High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm

“…The current literature of harmonic generation via nonlinear wave mixing is dominated by increasing the efficiency of the second/third harmonic generation rather than increasing the efficiency of an arbitrary harmonic . There are currently no known techniques in the literature that reported a high-efficiency in the microscale for an arbitrary harmonic generation (not necessarily the second harmonic) under monochromatic optical excitation [9][10][11][12][13][14][15][30][31][32][33][34][35][36][37][38][39]. In this study, we will show that for an arbitrary excitation frequency, one can maximize the harmonic generation efficiency at an arbitrary frequency.…”

“…A computational study that is based on maximizing the harmonic generation efficiency via a nonlinear programming algorithm is lacking [ 6 , 7 , 8 ]. Experimental studies usually focus on finding new techniques to increase the second and the third harmonic generation efficiency and there are relatively few experimental studies that have demonstrated a minor increase in the harmonic generation or conversion efficiency via certain experimental configurations and setups [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]. Some computational studies have focused on increasing the computation efficiency of harmonic generation problems rather than proving that the harmonic generation efficiency itself can actually be increased.…”

“…These include the studies mentioned in [ 6 , 7 , 8 ], which have managed to increase the efficiency of the nonlinear Finite-Difference-Time-Domain (FDTD) method by decreasing the dispersion error. The current literature of harmonic generation via nonlinear wave mixing is dominated by increasing the efficiency of the second/third harmonic generation rather than increasing the efficiency of an arbitrary harmonic [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]. There are currently no known techniques in the literature that reported a high-efficiency in the microscale for an arbitrary harmonic generation (not necessarily the second harmonic) under monochromatic optical excitation [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 30 , 31 , 32 , 33 , …”

Direct visualization of phase-matched efficient second harmonic and broadband sum frequency generation in hybrid plasmonic nanostructures

“…Noncentrosymmetric compound III-V semiconductors, such as GaInP and GaAs, are well known for their strong second-order nonlinear effects [25][26][27][28][29] and have welldeveloped top-down fabrication procedures, compatible with further large-scale on-chip integration. For nonlinear III-V semiconductor nanostructures in close vicinity to a metal, strong and controllable SHG is expected.…”

Gallium Phosphide Nanowires in a Free-Standing, Flexible, and Semitransparent Membrane for Large-Scale Infrared-to-Visible Light Conversion

“…A further increase of the SHG conversion efficiency can be achieved with elongation of the nanoparticles in one direction, forming nanowires (NWs). ,− In such designs, a combination of Mie resonances and Fabry–Perot modes can lead to strong incident light localization and outstanding optical properties. − Moreover, NW geometry and lithography-free methods of fabrication can provide high structural quality of NWs grown on lattice-mismatched substrates . However, although semiconductor ( e .…”