Browsing College of Engineering & Architecture by Subject "Wigner distribution"

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Browsing College of Engineering & Architecture by Subject "Wigner distribution"

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Cross terms of the Wigner distribution function and aliasing in numerical simulations of paraxial optical systems

Healy, John J. ; Rhodes, William T. ; Sheridan, John T. (Optical Society of America, 2010-04-15)

Sampling a function periodically replicates its spectrum. As a bilinear function of the signal, the associated Wigner distribution function contains cross terms between the replicas. Often neglected, these cross terms ...
Motion detection, the Wigner distribution function, and the optical fractional Fourier transform

Sheridan, John T. ; Hennelly, Bryan M. ; Kelly, Damien P. (Optical Society of America, 2003-06-01)

It is shown that both surface tilting and translational motion can be independently estimated by use of the speckle photographic technique by capturing consecutive images in two different fractional Fourier domains. A ...
Optical wave propagation simulation, Wigner phase-space diagrams, and wave energy confinement

Rhodes, William T. ; Sheridan, John T. ; Hennelly, Bryan M. (Optical Society of America, 2005-10-16)

The number of samples required for efficient numerical simulation of wave propagation can be determined by a combination of Wigner phase-space techniques, wave energy confinement arguments, and a theorem relating energy ...
Wigner cross-terms in sampled and other periodic signals

Rhodes, William T. ; Healy, John J. ; Sheridan, John T. (Optical Society of America, 2009-10-11)

If we sample a scalar wave field, it becomes periodic in frequency. We examine the cross-terms which occur between these periodic replicas in the Wigner-Ville distribution function of such a signal. We present analytic ...