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- W2093148519 abstract "Abstract Singularities in the mappings of complex two-dimensional vortical wavefields to Argand space are used here to investigate the duality between vortices in the physical field and caustic-like structures in the Argand plane. Such map singularities are exemplified via a method of optical vortex generation based on low-pass filtering of two-dimensional noise. The presence of Argand-plane fold caustics crossing the Argand-plane origin is tied to changes in vortex numbers in the physical wavefield. Increasing the low-pass filter cutoff leads to higher-order Argand-plane caustic singularities, such as the hyperbolic umbilic catastrophe. This work presents a duality between vortices and caustics, explores the Argand plane as a tool in analysing optical wavefields, and provides a new environment for studying catastrophes." @default.
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- W2093148519 date "2012-10-01" @default.
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- W2093148519 title "Duality between phase vortices and Argand-plane caustics" @default.
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- W2093148519 doi "https://doi.org/10.1016/j.optcom.2012.06.019" @default.
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