We computed the Debye series p=1 and p=2 terms of the Mie scattered intensity as a function of scattering angle and delay time for a linearly polarized plane wave pulse incident on a spherical dielectric particle and physically interpreted the resulting numerical data. Radiation shed by electromagnetic surface waves plays a prominent role in the scattered intensity. We determined the surface wa...

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...

We give the conversion equations which lead from experimental values of the 3p → 1s transition energy in pionic hydrogen and the total width of the 1s level to values of the s-wave threshold scattering parameters for the processes π−p → π−p and π−p → πn respectively. Using a three-channel potential model, we then calculate the electromagnetic corrections to these quantities, which remove the ef...

In this talk, we shall present our recent progress on acoustic and electromagnetic cloaking of obstacles with transformation media. In wave scattering, an obstacle is an object that waves cannot penetrate inside. With artificially designed transformation media, we show that the obstacle can be virtually reshaped under acoustic or electromagnetic wave detection. These cloaking media are shown to...

The core theorem on which the above paper is centred—that a perfectly conducting body of revolution absorbs no angular momentum from an axisymmetric electromagnetic wave field—is in fact a special case of a more general result in electromagnetic scattering theory. In addition, the scaling of the efficiency of transfer of angular momentum to an object with the wavelength and object size merits f...

Consider a time-harmonic electromagnetic plane wave incident on an inhomogeneity embedded in a two-layered medium. In this paper, a method of coupling of finite element and boundary integral equation methods is presented for the solutions of electromagnetic scattering in both transverse electric and magnetic polarization cases. The well-posedness of the continuous and discrete problems, as well...

A wavelet-collocation scheme, constructed from the discrete singular convolution (DSC) is introduced for computational electromagnetics. The basic philosophy behind the DSC algorithm is studied. Four test problems, including waveguide analysis in both regular and irregular domains, electromagnetic wave scattering, electrostatic field estimation via potential functions, and electromagnetic wave ...