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\section{intro}  Graphene has garnered a lot of interest for its unique electronic properties and its potential applications. Graphene is \\  There are two absorption properties that are involved in light-graphene interaction, interband and intraband absorption for small signals. This is described by the complex conductivity, $\sigma_g=\sigma_{intra}(\omega,\mu_c,\Gamma,T)+\sigma_{inter}(\omega,\mu_c,\Gamma,T)$, where $\omega$ is the angular frequency of light, $\mu_c$ is the chemical potential, $\Gamma$ is scattering rate, and $T$ is the temperature [1].Whats interesting is that the chemical potential can be tuned with electrical gating, thus the conductivity can be controlled by the same process. Chemical potential also controls what absorption process is occurring.Interband corresponding to absorption from the valence band to conduction band and intraband absoprtion corresponding to absoprtion from a semiconductor like optical property to a metal like optical property [2]. For incoming light with energy $\hbar \omega$, interband absoprtion dominates when $\mu_c < \frac{\hbar \omega}{2}$ and intraband dominates when $\mu_c > \frac{\hbar \omega}{2}$ and it is theoretically predicted that intraband absoprtion would be dominate when $\mu_c \approx \frac{\hbar \omega}{1.67}$ [2]. Zhaolin Lu et al investigates graphene conductivty at $T=300 K$ with a scattering rate $\hbar \Gamma=5 meV$. Figure 1is from said experiment and  plots real and imaginary parts ofgraphene  conductivity vs chemical potential and the dielectric constant as a funciton of chemical  potential. Note how sensitive Notice  the sensitivity of  conductivityis  with little change in  chemical potential. Here $\epsilon_{eff}=1-\frac{\delta_g}{i\omega\epsilon_0\Delta}$