Reflection beamshifts of visible light due to graphene

TL;DR

This paper calculates reflection beamshifts caused by monolayer graphene on dielectric media for visible light, proposing a method to determine graphene's conductivity through beamshift measurements, with results aligning with recent experiments.

Contribution

It introduces a theoretical approach to measure graphene's optical conductivity via reflection beamshifts in the visible spectrum, expanding experimental possibilities.

Findings

Calculated Goos-H"anchen shifts agree with recent experimental data.

Different polarization states affect the magnitude of beamshifts.

Proposes experimental routes to measure graphene's optical conductivity.

Abstract

I present calculations of reflection beamshifts, Goos-H\"anchen and Imbert-Fedorov shifts, due to the presence of a monolayer graphene on a dielectric media when using a beam with wavelength in the visible range. Measuring the Goos-H\"anchen and Imbert-Fedorov shifts is an alternative method to determine graphene's conductivity. I look at beamshifts for different polarization states ($p$, $s$, $45^0$, $\sigma^+$) and I discuss other possible experimental routes to determine these beamshifts and consequently, the graphene's optical conductivity. The Goos-H\"anchen shifts for visible light I calculated are in good agreement with results of a recent experiment.