On the Mathematics of EEG and MEG in Spheroidal Geometry
On the Maxwell's system in composite media
On the method of successive approximations for the J. L. Synge electromagnetic two-body problem.
On the point limit of the Pauli-Fierz model
On the positioning problem of a microscopic particle trapped in optical tweezers.
On the profiles of nonlinear geometric optics
On the propagation of surface electromagnetic waves analogous to Rayleigh waves in the case of Leontovich boundary conditions.
On the Relation between the S-matrix and the Spectrum of the Interior Laplacian
The main results of this paper are: 1) a proof that a necessary condition for 1 to be an eigenvalue of the S-matrix is real analyticity of the boundary of the obstacle, 2) a short proof that if 1 is an eigenvalue of the S-matrix, then k² is an eigenvalue of the Laplacian of the interior problem, and that in this case there exists a solution to the interior Dirichlet problem for the Laplacian, which admits an analytic continuation to the whole space ℝ³ as an entire function.
On the singular values and eigenvalues of the Fox-Li and related operators.
On the spectrum of the reduced wave operators with cylindrical discontinuity.
On the strong unique continuation prinicple for inequalities of Maxwell type.
On the support of the equilibrium measure for arcs of the unit circle and for real intervals.
On the theory of interaction between a moving point charge and a metal.
On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation
The solvability of time-harmonic Maxwell equations in the 3D-case with nonhomogeneous conductivities is considered by adapting Sobolev space technique and variational formulation of the problem in question. Moreover, a finite element approximation is presented in the 3D-case together with an error estimate in the energy norm. Some remarks are given to the 2D-problem arising from geophysics.
On uniqueness and stability of steady-state carrier distributions in semiconductors
On uniqueness in electromagnetic scattering from biperiodic structures
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional...
Operator gauge symmetry in QED.
Optical leptons.
Optical vortices in dispersive nonlinear Kerr-type media.
Optimal multiphase transportation with prescribed momentum
A multiphase generalization of the Monge–Kantorovich optimal transportation problem is addressed. Existence of optimal solutions is established. The optimality equations are related to classical Electrodynamics.