4 papers
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…
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…
Pseudo-differential representation of the metaplectic transform and its application to fast algorithms
N. A. Lopez, I. Y. Dodin
The metaplectic transform (MT), also known as the linear canonical transform, is a unitary integral mapping which is widely used in signal processing and can be viewed as a general…
Mode-conversion of the extraordinary wave at the upper hybrid resonance in the presence of small-amplitude density fluctuations
N. A. Lopez, A. K. Ram
In spherical tokamaks, the electron plasma frequency is greater than the electron cyclotron frequency. Electromagnetic waves in the electron cyclotron range of frequencies are unsu…