Electromagnetic Field Imaging in Arbitrary Scattering Environments

Electromagnetic Wave Scattering from Particles of Arbitrary Shapes

We consider a general solution of the electromagnetic wave scattering problem for arbitrarily shaped homogeneous particles, whose surface can be expressed by a function of angular coordinates, using a Laplace series expansion. This can include regularly shaped particles (e.g., ellipsoids and cubes) as well as irregularly shaped particles like Gaussian spheres. For calculations of scattering pro...

Propagation and scattering of electromagnetic waves in complex environments

Arbitrary High-order Discontinuous Galerkin Method for Electromagnetic Field Problems

In this paper, we present a time integration scheme applied to the Discontinuous Galerkin finite element method (DG-FEM, [1]) for the computation of electromagnetic fields in the interior of three-dimensional structures. This approach is also known as Arbitrary High-Order Derivative Discontinuous Galerkin (ADER-DG, [2, 3]). By this method, we reach arbitrary high accuracy not only in space but ...

Casimir forces between arbitrary compact objects: Scalar and electromagnetic field

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as an interaction between multipoles, generated by quantum source or current fluctuations. The objects’ shape and composition enter only through their scattering...

Combined Far Field Operators in Electromagnetic Inverse Scattering Theory

We consider the inverse scattering problem of determining the shape of a perfect conductor D from a knowledge of the scattered electromagnetic wave generated by a time-harmonic plane wave incident upon D. By using polarization effects we establish the validity of the linear sampling method for solving this problem that is valid for all positive values of the wave number. We also show that it su...