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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.optics2018
Wave kinetic equation in a nonstationary and inhomogeneous medium with a weak quadratic nonlinearity
D. E. Ruiz, M. E. Glinsky, I. Y. Dodin
We present a systematic derivation of the wave kinetic equation describing the dynamics of a statistically inhomogeneous incoherent wave field in a medium with a weak quadratic non…