Detailed similarities between polarization states of light and ballistic charge carriers in graphene are derived. Based on these, the optical equivalent of quantum wavefunctions, the Dirac equation, and the effect of an electrostatic potential are found, and the quantum analogs of the refractive index of light and of the optical composition law of reflection coefficients are obtained. The differences between the behaviors of quantum wavefunctions in graphene and electromagnetic fields, due to the chiral symmetry of ballistic charge carriers that cannot be mimicked in classical polarization optics, are also evidenced.
© 2010 Optical Society of America
Original Manuscript: March 18, 2010
Revised Manuscript: April 21, 2010
Manuscript Accepted: April 28, 2010
Published: June 7, 2010
D. Dragoman, "Polarization optics analogy of quantum wavefunctions in graphene," J. Opt. Soc. Am. B 27, 1325-1331 (2010)