  Metasurfaces provide unique capability in guiding surface waves and
controlling their polarization and dispersion properties. One way to do that is
by analyzing their equifrequency contours. Equifrequency contours are the 2D
projection of the 3D dispersion diagram. Since they are a k-space map
representation of the surface, many of the wave properties can be understood
through the Equifrequency contours. In this paper, we investigate numerically
and experimentally the engineering of equifrequency contours using C-shape
metasurface design. We show the ability to provide high self-collimation as
well as spin-dependent wave splitting for the same metasurface by tuning the
frequency of operation. We also show the ability to steer the wave along a
defined curved path by rotating the C-shape which results in rotating its
equifrequency contours. This work demonstrates how engineering equifrequency
contours can be used as a powerful tool for controlling the surface wave
propagation properties.
