We propose the application of volume holography to four-dimensional (4-D) s
patiospectral imaging. The proposed systems use materials and techniques de
veloped for holographic data storage and interconnections to capture three-
dimensional (3-D) spatial and one-dimensional (1-D) spectral information ab
out a remote light source ol scatterer. We analyze case studies of simple a
rchitectures using spherical-reference volume holograms as imaging elements
in a florescence confocal microscope arrangement and demonstrate the equiv
alence of the holographic degeneracies with a slicing operation on the reco
nstructing incoherent source. We develop a general theoretical framework fo
r the diffraction of random fields from volume holograms and show that the
formulation can he used as an imaging design tool. Applications and future
directions are also discussed.