47 citations · 125 across the 9 of their papers we have counts for
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physics.optics2020★ 7 cited
Exactly unitary discrete representations of the metaplectic transform for linear-time algorithms
N. A. Lopez, I. Y. Dodin
The metaplectic transform (MT), a generalization of the Fourier transform sometimes called the linear canonical transform, is a tool used ubiquitously in modern optics, for example…
physics.optics2020★ 16 cited
Metaplectic geometrical optics for modeling caustics in uniform and nonuniform media
N. A. Lopez, I. Y. Dodin
As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) is widely used for modeling waves in various areas of physics. However, G…
physics.optics2020★ 19 cited
Restoring geometrical optics near caustics using sequenced metaplectic transforms
N. A. Lopez, I. Y. Dodin
Geometrical optics (GO) is often used to model wave propagation in weakly inhomogeneous media and quantum-particle motion in the semiclassical limit. However, GO predicts spurious…