18 August 2005 Colloidal holography and crystal dislocations
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The analogous nature of dislocations in crystals and light leads to some interesting links between the properties of optical and crystal dislocations. A dislocation in a crystal can be described by a Burgers vector b, whilst a dislocation in a laser mode such as the vortex in a Laguerre Gaussian beam, can be described by a topological charge l2. By illuminating both optically trapped and self-assembled two-dimensional colloidal crystals with a Gaussian laser beam, we show a direct link between crystal and light dislocations, where the first order diffraction pattern from a crystal with Burgers' vector b = na contains vortex laser modes of topological charge l=±mn, (where n is an integer, a is the lattice constant of the crystal and m is an integer corresponding to the diffraction order).
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Michael P. MacDonald, Michael P. MacDonald, Paul Prentice, Paul Prentice, Kishan Dholakia, Kishan Dholakia, } "Colloidal holography and crystal dislocations", Proc. SPIE 5930, Optical Trapping and Optical Micromanipulation II, 593017 (18 August 2005); doi: 10.1117/12.614843; https://doi.org/10.1117/12.614843

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