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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…
Pseudo-Hermiticity, Anti-Pseudo-Hermiticity, and Generalized Parity-Time-Reversal Symmetry at Exceptional Points
Nil İnce, Hasan Mermer, Ali Mostafazadeh
For a diagonalizable linear operator acting in a separable Hilbert space , i.e., an operator with a purely point spectrum, eigenvalues wi…
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…
Blow-up solutions of Helmholtz equation for a Kerr slab with a complex linear and nonlinear permittivity
Varga Kalantarov, Ali Mostafazadeh, Neslihan Oflaz
We show that the Helmholtz equation describing the propagation of transverse electric waves in a Kerr slab with a complex linear permittivity and a complex Kerr coefficient admits…