  We study transmission in a system consisting of a curved graphene surface as
an arc (ripple) of circle connected to two flat graphene sheets on the left and
right sides. We introduce a mass term in the curved part and study the effect
of a generated band gap in spectrum on transport properties for spin-up/-down.
The tunneling analysis allows us to find all transmission and reflections
channels modeled by the band gap. This later acts by decreasing the
transmissions with spin-up/-down but increasing with spin opposite, which
exhibit some behaviors look like bell-shaped curve. We find resonances
appearing in reflection with the same spin, thus backscattering with a
spin-up/-down is not null in ripple. We observe huge spatial shifts for the
total conduction in our model and the magnitudes of these shifts can be
efficiently controlled by adjusting the band gap. This high order tunability of
the tunneling effect can be used to design highly accurate devises based on
graphene.

Mesoscale and Nanoscale Physics;Quantum Physics