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39 papers · 1 filter
Scattering of TE and TM waves by inhomogeneities of a 2D material, low-frequency behavior of the scattering amplitude, and low-frequency invisibility
Farhang Loran, Ali Mostafazadeh
The propagation of the transverse electric (TE) and transverse magnetic (TM) waves in an effectively two-dimensional (2D) isotropic medium is described by Bergmann's equation of ac…
A remarkable dynamical symmetry of the Landau problem
Tekin Dereli, Philippe Nounahon, Todor Popov
We show that the dynamical group of an electron in a constant magnetic field is the group of symplectomorphisms . It is generated by the spinorial realization of…
Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebra
Muzaffer Adak, Tekin Dereli, Ertan Kok +1
We discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formula…
Exactness of the first Born approximation in electromagnetic scattering
Farhang Loran, Ali Mostafazadeh
For the scattering of plane electromagnetic waves by a general possibly anisotropic stationary linear medium in three dimensions, we give a condition on the permittivity and permea…
Existence of the transfer matrix for a class of nonlocal potentials in two dimensions
Farhang Loran, Ali Mostafazadeh
Evanescent waves are waves that decay or grow exponentially in regions of the space void of interaction. In potential scattering defined by the Schrödinger equation, $(-\nabla^2+v)…
Transfer matrix formulation of stationary scattering in 2D and 3D: A concise review of recent developments
Farhang Loran, Ali Mostafazadeh
We review a recently developed transfer matrix formulation of the stationary scattering in two and three dimensions where the transfer matrix is a linear operator acting in an infi…