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Fundamental transfer matrix for electromagnetic waves, scattering by a planar collection of point scatterers, and anti-PT-symmetry
Farhang Loran, Ali Mostafazadeh
We develop a fundamental transfer-matrix formulation of the scattering of electromagnetic (EM) waves that incorporates the contribution of the evanescent waves and applies to gener…
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)…
Singularity-free treatment of delta-function point scatterers in two dimensions and its conceptual implications
Farhang Loran, Ali Mostafazadeh
In two dimensions, the standard treatment of the scattering problem for a delta-function potential, , leads to a logarithmic singularity…
Comment on "Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation"
Farhang Loran, Ali Mostafazadeh, Sema Seymen +1
In [J. A. Rebouças and P. A. Brandão, Phys. Rev. A 104, 063514 (2021)] the authors compute the scattering amplitude for a -symmetric double-delta-function p…
Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution
Farhang Loran, Ali Mostafazadeh
In two and three dimensions, the standard treatment of the scattering problem for a multi-delta-function potential, $v(\mathbf{r})=\sum_{n=1}^N\mathfrak{z}_nδ(\mathbf{r}-\mathbf{a}…
Propagating-wave approximation in two-dimensional potential scattering
Farhang Loran, Ali Mostafazadeh
We introduce a nonperturbative approximation scheme for performing scattering calculations in two dimensions that involves neglecting the contribution of the evanescent waves to th…