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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,inter interaction,interband  and intra band absorption intraband absorption.This is  described by a the  complex conductivity $ \sigma_g=\sigma_{intra}(\omega,\mu_c,\Gamma,T)+\sigma_{inter}(\omega,\mu_c,\Gamma,T)$