The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and
many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, …

This book for the first time unifies the theories of acoustic, electromagnetic, and elastic waves
and discusses the many physical and geometric aspects of their interactions with obstacles…

Understanding the functional brain is one of the top challenges of contemporary science.
The challenge is connected with the fact that we are trying to understand how an organized …

An exact analytic solution for the forward problem in the theory of biomagnetics of the human
brain is known only for the (1D) case of a sphere and the (2D) case of a spheroid, where …

We show that for the spherical model of the brain, the part of the neuronal current that generates
the electric potential (and therefore the electric field) lives in the orthogonal complement …

EEG forward calculation in realistic volume conductors using the boundary element method
suffers from the fact that the solutions become inaccurate for superficial sources. Here we …

In magnetoencephalography (MEG) a primary current is activated within a bounded conductive
medium, ie, the head. The primary current excites an induction current and the total (…

A spherical wave emanating from a point source is scattered by either a soft or a hard body.
The incident spherical wave has a wavelength which is much larger than the characteristic …

We develop convergent series solutions in powers of the wavenumber (k=2π/λ) for the field (ψ)
and the normalized (dimensionless) scattering amplitude (g) for scattering by lossless …

Consider the problem of scattering of an elastic wave by a three-dimensional bounded and
smooth body. In the region exterior to a sphere that includes the scatterer, any solution of …