Difference-frequency-generated holograms of two-dimensional objects

Abstract

We demonstrate both analytically and experimentally that second-order nonlinear interaction in a uniaxial crystal produces a holographic replica of one of the incident fields. In particular, we consider differencefrequency generation and directly calculate the field transformation that is produced by the nonlinear interaction for some simple but nontrivial two-dimensional objects, such as a long wire, a circular hole, and a regular net. Finally we show experimental results for such objects that validate the theoretical calculations.

Image transfer through a chaotic channel by intensity correlations

“…The result in (17) shows that with this choice of the propagation configuration, the field distribution on a plane satisfying the holographic relation among the distances is equal to the field distribution on the object plane, provided a double inversion of the coordinates and a shift in position which depends on the propagation direction E 1 . Note that the insertion of the imaging lens on the plane (x L , y L ) was necessary to obtain a real image [38].…”