  We propose a new class of computer generated holograms whose far fields
possess designer-specified polarization response. We dub these Jones matrix
holograms. We provide a simple procedure for their implementation using
form-birefringent metasurfaces. Jones matrix holography generalizes a wide body
of past work with a consistent mathematical framework, particularly in the
field of metasurfaces, and suggests previously unrealized devices, examples of
which are demonstrated here. In particular, we demonstrate holograms whose
far-fields implement parallel polarization analysis and custom waveplate-like
behavior.
