  Starting from an engineered periodic optical structure formed by waveguide
arrays comprised of two interleaved lattices, we simulate a deformed Dirac
equation. We show that the system also simulate graphene nano ribbons under
strain. This optical analogue allows us to study the phenomenon of
Zitterbewegung for the modified Dirac equation. Our results show that the
amplitude of Zitterbewegung oscillations changes as the deformation parameter
is changed.
