We introduce a simple and flexible method to generate spatially non-Markovian
light with tunable coherence properties in one and two dimensions. The unusual
behavior of this light is demonstrated experimentally by probing the far field
and recording its diffraction pattern after a double slit: In both cases we
observe instead of a central intensity maximum a line or cross shaped dark
region, whose width and profile depend on the non-Markovian coherence
properties. Since these properties can be controlled and easily reproduced in
experiment, the presented approach lends itself to serve as a testbed to gain a
deeper understanding of non-Markovian processes