Linear canonical transformations in phase space: the Gabor frames approach - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

Linear canonical transformations in phase space: the Gabor frames approach

Résumé

Linear Canonical Transformations are phase space deformations that can be used to describe linear optical systems. In geometric optics they correspond to the transformations of the light rays during propagation in arbitrary media, while in wave optics they describe the evolution of the space-frequency components. Although their meaning is non-ambiguous in the former case, in the latter it depends on the specific space-frequency decomposition of the wavefield. In this paper we gather several results from theoretical time-frequency analysis with Gabor Frames and provide a preliminary analysis on the implementation of phase space deformation for linear optical systems.
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Dates et versions

hal-04661879 , version 1 (25-07-2024)

Identifiants

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Patrick Gioia, Antonin Gilles, Antoine Lagrange, Anas El Rhammad, San Vu-Ngoc. Linear canonical transformations in phase space: the Gabor frames approach. Optics, Photonics and Digital Technologies for Imaging Applications VIII, Apr 2024, Strasbourg, France. pp.18, ⟨10.1117/12.3022395⟩. ⟨hal-04661879⟩
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