30 citations · 80 across the 9 of their papers we have counts for
9 papers
Families of delta-correlated arrays derived from the Fourier spectra of Huffman sequences
Imants D. Svalbe, David M. Paganin, Timothy C. Petersen
Finite discrete Huffman sequences, together with their extension to n-dimensional arrays, are highly valued because their discrete aperiodic auto-correlations optimally approximate…
Sharp images from diffuse beams: factorisation of the discrete delta function
I. D. Svalbe, D. M. Paganin, T. C. Petersen
Discrete delta functions define the limits of attainable spatial resolution for all imaging systems. Here we construct broad, multi-dimensional discrete functions that replicate cl…
Braiding and fusion of non-Abelian vortex anyons
Thomas Mawson, Timothy Petersen, Joost Slingerland +1
We demonstrate that certain vortices in spinor Bose-Einstein condensates are non-Abelian anyons and may be useful for topological quantum computation. We perform numerical experime…
Probing the limits of the rigid-intensity-shift model in differential phase contrast scanning transmission electron microscopy
L. Clark, H. G. Brown, D. M. Paganin +5
The rigid-intensity-shift model of differential phase contrast scanning transmission electron microscopy (DPC-STEM) imaging assumes that the phase gradient imposed on the probe by…
Nodal-line dynamics via exact polynomial solutions for coherent waves traversing aberrated imaging systems
David M. Paganin, Mario A. Beltran, Timothy C. Petersen
We obtain exact polynomial solutions for two-dimensional coherent complex scalar fields propagating through arbitrary aberrated shift-invariant linear imaging systems. These are us…
Propagation of fully-coherent and partially-coherent complex scalar fields in aberration space
David M. Paganin, Timothy C. Petersen, Mario A. Beltran
We consider the propagation of both fully coherent and partially coherent complex scalar fields, through linear shift-invariant imaging systems. The state of such imaging systems i…