title: Millimeter-wave compressive holography.
abstract: We describe an active millimeter-wave holographic imaging system that uses compressive measurements for three-dimensional (3D) tomographic object estimation. Our system records a two-dimensional (2D) digitized Gabor hologram by translating a single pixel incoherent receiver. Two approaches for compressive measurement are undertaken: nonlinear inversion of a 2D Gabor hologram for 3D object estimation and nonlinear inversion of a randomly subsampled Gabor hologram for 3D object estimation. The object estimation algorithm minimizes a convex quadratic problem using total variation (TV) regularization for 3D object estimation. We compare object reconstructions using linear backpropagation and TV minimization, and we present simulated and experimental reconstructions from both compressive measurement strategies. In contrast with backpropagation, which estimates the 3D electromagnetic field, TV minimization estimates the 3D object that produces the field. Despite undersampling, range resolution is consistent with the extent of the 3D object band volume.
authors.affiliation: Fitzpatrick Institute for Photonics and Department of Electrical and Computer Engineering, Duke University, 129 Hudson Hall, Durham, North Carolina 27708, USA. caf11@ee.duke.edu
authors.forename: Christy Fernandez
authors.initials: CF
authors.lastname: Cull
authors.forename: David A
authors.initials: DA
authors.lastname: Wikner
authors.forename: Joseph N
authors.initials: JN
authors.lastname: Mait
authors.forename: Michael
authors.initials: M
authors.lastname: Mattheiss
authors.forename: David J
authors.initials: DJ
authors.lastname: Brady