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- W2031443370 abstract "We study the geometric origin of generalized Gouy phases in paraxial optical modes of arbitrary order. We focus onthe specific case of cyclic beam transformations of non-astigmatic vortex beams, thereby, generalizing the well-knowngeometric phase shift for first-order beams with orbital angular momentum to modes of arbitrary order. Our methodinvolves two pairs of bosonic ladder operators, which, analogous to the algebraic description of the quantum-mechanicalharmonic oscillator in two dimensions, connect transverse modes of different order. Rather than studying the geometry ofthe infinite-dimensional space of higher-order modes, we focus on the space underlying the ladder operators. We identifyoverall phases of the ladder operators, thereby obtaining the phases of all higher-order modes, and show that the variationof these phases under optical elements and transformations has a geometric interpretation in terms of the other parametersinvolved." @default.
- W2031443370 created "2016-06-24" @default.
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- W2031443370 date "2010-02-11" @default.
- W2031443370 modified "2023-09-23" @default.
- W2031443370 title "Geometric phases in higher-order transverse optical modes" @default.
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- W2031443370 doi "https://doi.org/10.1117/12.840024" @default.
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