The main functions covered in this chapter are cuspoid catastrophes ΦK (t; x); umbilic
catastrophes with codimension three Φ (E)(s, t; x), Φ (H)(s, t; x); canonical integrals ΨK (x), Ψ …

The dependence of the eigenvalues of the TM1n and TE1n electromagnetic triplet modes on
the shape of a triaxial ellipsoid cavity resonator is investigated. For an ellipsoid with semi …

The electromagnetic scattering by an inhomogeneous gyroelectric sphere is studied in this
work. The solution is constructed using the well-known electric field volume integral …

We have developed a local point method (LPM) to calculate the eigenfrequencies of perfect
electric conducting (PEC) body of revolution (BoR) cavities, with or without a spherical …

Finite-element calculations of electromagnetic eigenvalues are known to converge to the
exact solutions in the limit of vanishing element sizes. In an extension of previous work …

The electromagnetic scattering of a plane wave by a metallic spheroid is considered in this
work. The solution is obtained using two alternative methods: the first method is based on …

In this paper, we study the electromagnetic scattering of a plane wave by a prolate or oblate
dielectric spheroid, which can be lossless or lossy. The presented efficient solution is …

The Heun function generalizes all well-known special functions such as Spheroidal Wave,
Lame, Mathieu, and hypergeometric functions. Heun functions are applicable to diverse …

In this paper, an efficient approach is proposed to analyze the interior boundary-value
problem in a spheroidal cavity with perfectly conducting wall. Since the vector wave …

The electromagnetic fields and eigen-frequencies of triaxially ellipsoidal resonators have
been calculated. The method used is modal superposition, based on the decomposition of …