Motivated by the recent advancements in terahertz
metaoptics, this study demonstrates a metasurface exhibiting
distinct optical characteristics with coherent
and incoherent illuminations at terahertz (THz) frequencies.
Traditionally, periodic boundary conditions are exercised
to simulate metasurface responses under coherent
illumination, while under incoherent illumination,
both the simulation as well as the experiment become
more complex and challenging. In the present study, we
discuss two different approaches to determine the response
of a metasurface under incoherent illuminationone
with multiple finite-sized source patches and the second
is based on the Van Cittert-Zernike theorem that relates
wavevector content to the spatial coherence width.
The experimental measurements show good agreement
with the simulation results. Further, on the application
end, the metasurface as a spatial low-pass filter is discussed
briefly. The designed THz metasurface has potential
applications in optical imaging, spatial filtering,
improving signal-to-noise ratio in optical communication,
etc.<p></p>