  Refraction at a smooth interface is accompanied by momentum transfer normal
to the interface. We show that corrugating an initially smooth, totally
reflecting, non-metallic interface provides a momentum kick parallel to the
surface, which can be used to refract light negatively or positively. This new
mechanism of negative refraction is demonstrated by visible light and microwave
experiments on grisms (grating-prisms). Single-beam
all-angle-negative-refraction is achieved by incorporating a surface grating on
a flat multilayered material. This negative refraction mechanism is used to
create a new optical device, a grating lens. A plano-concave grating lens is
demonstrated to focus plane microwaves to a point image. These results show
that customized surface engineering can be used to achieve negative refraction
even though the bulk material has positive refractive index. The surface
periodicity provides a tunable parameter to control beam propagation leading to
novel optical and microwave devices.
