Nonlinear optics of surface plasmon toy black holes

TL;DR

This paper explores the nonlinear optical properties of surface plasmon toy black holes, demonstrating enhanced nonlinear effects, second harmonic generation, and discussing potential observation of toy Hawking radiation with implications for droplet shape determination.

Contribution

It introduces a model of surface plasmon toy black holes using liquid droplets on metal surfaces, revealing enhanced nonlinear optical behavior and potential for observing analog Hawking radiation.

Findings

Enhanced nonlinear optical behavior near surface plasmon resonance

Experimental observation of second harmonic generation near the toy event horizon

Estimated Hawking temperature in the range of hundreds Kelvin for realistic droplet shapes

Abstract

Nonlinear optical behavior of recently introduced surface plasmon toy black hole models has been considered. Physical realization of these models involves droplets of liquid on a metal surface, which supports propagation of surface plasmons. Such droplets are shown to exhibit strongly enhanced nonlinear optical behavior in the frequency range near the surface plasmon resonance of a metal-liquid interface. This enhancement may be responsible for the missing orders of magnitude of field enhancement in the surface enhanced Raman scattering effect. In addition, experimental observation of the recently predicted optical second harmonic generation near the toy event horizon is reported. Finally, the possibility of toy Hawking radiation observation is discussed, and the expression for the effective Hawking temperature of a toy surface plasmon black hole is derived. The effective Hawking temperature appears to be in the range of a few hundreds Kelvin for the realistic droplet shapes, which may lead to a surprising conclusion that the shapes of the liquid droplets on metal substrates are to some degree determined by the Hawking radiation.