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Bryan Hennelly

Publications and source records attributed to Bryan Hennelly.

2 recordsLinked to original sources
PubMed2004

Wavelength-controlled variable-order optical fractional Fourier transform.

The relationship between optical fractional Fourier transforms (OFRTs) obtained at different wavelengths is derived by use of the ABCD matrix formalism. It is shown that varying the wavelength while retaining the same optical system can be used to control the order of the OFRT. The advantage of this method of varying OFRT order is that no variation in the characteristics of the bulk optics is required. A general experimental verification of the theory is provided by showing the exact equivalence of two OFRT systems of different order when they are replayed using the same input function at different wavelengths.

Journal Article↗
PubMed2003

Motion detection, the Wigner distribution function, and the optical fractional Fourier transform.

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 geometric interpretation, based on use of the Wigner distribution function, is presented to describe this application of the optical fractional Fourier transform when little prior information is known about the motion.

Journal Article↗