CQuIC Seminars
Angular momentum, image rotation, and 3D source super-localization - a Bayesian perspective
Presented by Sudhakar Prasad, UNM
Angular momentum of light has been proposed for use in a number of applications in physics including micro-particle rotation, error-free classical and quantum communication through air turbulence, quantum cryptography, and quantum superdense coding, to name just a few. Non-diffracting Bessel beams, which constitute states of light of pure orbital angular momentum (OAM), can be generated and combined in the aperture of an imager to create a compact elementary image of a point source, the so-called point-spread function (PSF), which as a function of changing distance of the source to the imager rotates about the Gaussian focus without a significant change of shape or size over a large range around the plane of best focus. Such a rotating-PSF imager can thus encode the full 3D locations of point sources and localize them with sub-diffractive positional errors. Potential applications include super-localizing fluorophors in bio-molecular microscopy, 3D surveillance of unresolved space debris from telescopes mounted on satellites in low-earth orbits, and early detection of micro-aneurysms in a diabetic retina. Bayesian error and statistical information analyses have been applied to determine the theoretical limits on 3D localization and super-resolution of closely spaced point sources under varying signal, background, and noise conditions. Certain newly derived theoretical relations between Bayesian error metrics and mutual Shannon information that sharpen the inverse relation between information and error will also be presented.
3:30 pm, Thursday, October 16, 2014
PAIS-2540, PAIS
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A schedule of talks within the Department of Physics and Astronomy is available on the P&A web site at http://physics.unm.edu/pandaweb/events/index.php