Imperial College London

Professor Stepan Lucyszyn

Faculty of EngineeringDepartment of Electrical and Electronic Engineering

Professor of Millimetre-wave Systems



+44 (0)20 7594 6167s.lucyszyn Website CV




Mrs Jay Sahote +44 (0)20 7594 6215




602Electrical EngineeringSouth Kensington Campus






BibTex format

author = {Papantonis, S and Lucyszyn, S},
journal = {Progress in Electromagnetics Research},
pages = {151--167},
title = {Lossy Spherical Cavity Resonators for Stress-testing Arbitrary 3D Eigenmode Solvers},
url = {},
volume = {151},
year = {2015}

RIS format (EndNote, RefMan)

AB - A lossy metal-wall cavity resonator that extends well beyond perturbation theory limitsis studied. An exact analytical solution is employed for the spherical cavity resonator, having wallstransformed from being a perfect electrical conductor (PEC) to free space. This model then acts as anideal benchmark reference standard. A plane-wave approximation is then derived. Independent full-wavenumerical modeling of the spherical cavity resonator is undertaken using eigenmode solvers within twowell-known commercial, industry-standard, simulation software packages (HFSSTMand COMSOL). Ithas been found that the plane-wave approximation model accurately characterizes the results generatedby these solvers when equivalent ¯nite conductivity boundary (FCB) and layered impedance boundary(LIB) conditions are used. However, the impedance boundary (IB) condition is accurately characterizedby the exact model, but the precise value of complex wave impedance at the wall boundary for the specificresonance mode must first be known a priori. Our stress-testing results have profound implications onthe usefulness of these commercial solvers for accurately predicting eigenfrequencies of lossy arbitrary3D structures. For completeness, an exact series RLC equivalent circuit model is given specifcallyfor a spherical cavity resonator having arbitrary wall losses, resulting in the derivation of an extendedperturbation model.
AU - Papantonis,S
AU - Lucyszyn,S
EP - 167
PY - 2015///
SN - 1070-4698
SP - 151
TI - Lossy Spherical Cavity Resonators for Stress-testing Arbitrary 3D Eigenmode Solvers
T2 - Progress in Electromagnetics Research
UR -
UR -
VL - 151
ER -