Eigenmodes of the spherical and ellipsoidal dielectric electromagnetic resonator have been
analysed. The sizes and shape of the resonators have been chosen to represent the shape …

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 …

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 …

Acoustic thermometry using a gas-filled quasi-spherical resonator (QSR) is one of the most
promising techniques for measuring the Boltzmann constant k B with low uncertainty …

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 scattering of a plane electromagnetic wave by a perfectly conducting prolate or oblate
spheroid is considered analytically by a shape perturbation method. The electromagnetic …

The electromagnetic eigenfrequencies fnsm in a perfectly conducting spheroidal cavity are
determined analytically. The analytical determination is possible in the case of small values …

3.1 Introduction Perturbation theory is among the most useful and successful analytical tools
in applied mathematics. Countless examples of enlightening perturbation analyses have …

In this article, electromagnetic scattering from conducting deformed spheres is considered
analytically by employing the perturbation method and utilizing Debye potentials. To be able …

We present an algorithm which, based on certain properties of analytic dependence,
constructs boundary perturbation expansions of arbitrary order for eigenfunctions of elliptic …