Optical generation of the Wigner distribution of 2-D real signals

New techniques as well as extensions to existing techniques for the optical production of 2-D Wigner distributions are presented. Our investigation starts with a straightforward technique involving a pair of relay lenses and a Fourier transform lens. Then we explore a second technique requiring only one lens and a rotational capability. We also present a technique for display of a single frequency variable vs a single spatial variable. Finally, we discuss a dual-channel display technique in which two different sections of the Wigner distribution are displayed simultaneously.