  We experimentally demonstrate Time-Resolved Nonlinear Ghost Imaging and its
ability to perform hyperspectral imaging in difficult-to-access wavelength
regions, such as the Terahertz domain. We operate by combining nonlinear
quadratic sparse generation and nonlinear detection in the Fourier plane. We
demonstrate that traditional time-slice approaches are prone to essential
limitations in near-field imaging due to space-time coupling, which is overcome
by our technique. As a proof-of-concept of our implementation, we show that we
can provide experimental access to hyperspectral images completely
unrecoverable through standard fixed-time methods.
