In this paper the authors derive some properties of a type D analogue of the noncrossing partition lattice. This analogue has the advantage that it fits nicely into a general framework about noncrossing and nonnesting partitions for general Coxeter groups. The paper is also very well written , so it should definitely be published. I only have some minor… (More)
A spherical acoustic wave is scattered by a bounded obstacle. A generalization of the 'optical theorem' (which relates the scattering cross-section to the far-field pattern in the forward direction for an incident plane wave) is proved. For a spherical scatterer, low-frequency results are obtained by approximating the known exact solution (separation of… (More)
A uniqueness theorem is proved for the inverse acoustic scattering problem for a piecewise-homogeneous obstacle under the assumption that the scattering amplitude is known for all directions of the incident and the scattered field at a fixed frequency.
Time-harmonic electromagnetic waves are scattered by a homogeneous chiral obstacle. The corresponding transmission problem is reduced to a pair of coupled integral equations over S, where S is the interface between the obstacle and the surrounding medium. This is done using a generalization of the Stratton–Chu representation that is valid for chiral media.… (More)
Time-harmonic electromagnetic waves are scattered by a homogeneous chiral obstacle. The reciprocity principle, the basic scattering theorem and an optical theorem are proved. These results are used to prove that if the chirality measure of the obstacle is real, then the far-"eld operator is normal. Moreover, it is shown that the eigenvalues of the far-"eld… (More)
The problem of scattering of spherical electromagnetic waves by a bounded chiral obstacle is considered. General scattering theorems, relating the far–field patterns due to scattering of waves from a point source put in any two different locations (the reciprocity principle, the optical theorem, etc), and mixed scattering relations (relating the scattered… (More)
A spherical electromagnetic wave is scattered by a bounded perfectly conducting obstacle. A generalization of the plane-wave optical theorem is established. For a spherical scatterer, low frequency results are obtained by approximating the known exact solution (separation of variables). In particular, a closed-form approximation of the scattered wavefield… (More)