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Localized wave solutions of the scalar homogeneous wave equation and their optical implementation

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arxiv physics/0309079 v3 pith:B4KWETDC submitted 2003-09-17 physics.optics

classification physics.optics
keywords waveequationfieldshomogeneouslocalizedmeansopticalscalar
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In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.e., the wave fields that propagate without any appreciable spread or drop in intensity, has been discussed in many aspects in numerous publications. In this review the main results of this rather disperse theoretical material are presented in a single mathematical representation - the Fourier decomposition by means of angular spectrum of plane waves. This unified description is shown to lead to a transparent physical understanding of the phenomenon as such and yield the means of optical generation of such wave fields.

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  1. Optical spatiotemporal Fourier synthesis: Tutorial

    physics.optics 2025-04 conditional novelty 3.0 of 10

    A tutorial of spatiotemporal Fourier synthesis: jointly shaping the spatial and temporal spectra of pulsed light to make propagation-invariant space-time wave packets with tunable group velocity.

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