@article{Gorbach2016, abstract = {We present perturbation theory for analysis of generic third-order nonlinear processes in graphene-integrated photonic structures. The optical response of graphene is treated as the nonlinear boundary condition in Maxwell's equations. The derived models are applied for analysis of third-harmonic generation in a graphene-coated dielectric microfiber. An efficiency of up to a few percent is predicted when using subpicosecond pump pulses with energies of the order of 0.1 nJ in a submillimeter-long fiber when operating near the resonance of the graphene nonlinear conductivity ℏ$\omega$=(2/3)EF.}, author = {Gorbach, Andrey V. and Ivanov, Edouard}, doi = {10.1103/PhysRevA.94.013811}, file = {:C\:/Users/ag263/OneDrive - University of Bath/Mendeley Library/2016/Gorbach, Ivanov - Physical Review A - 2016.pdf:pdf}, issn = {2469-9926}, journal = {Physical Review A}, month = {jul}, number = {1}, pages = {013811}, publisher = {American Physical Society}, title = {{Perturbation theory for graphene-integrated waveguides: Cubic nonlinearity and third-harmonic generation}}, url = {http://link.aps.org/doi/10.1103/PhysRevA.94.013811}, volume = {94}, year = {2016} }