Title :
Counterexamples to the currently accepted explanation for spurious modes and necessary and sufficient conditions to avoid them
Author :
Fernandes, Paolo ; Raffetto, Mirco
Author_Institution :
Ist. per la Matematica Applicata, Consiglio Nazionale delle Ricerche, Genova, Italy
fDate :
3/1/2002 12:00:00 AM
Abstract :
Recently, a new theory concerning the spurious free approximation of electromagnetic eigenproblems has appeared, which is in contrast with the one currently accepted in the electromagnetic community. To stress the need to adopt the new theory, we show that in two simple cases, spurious modes appear, even though the conditions on which the old and accepted theory is based are satisfied. On the contrary, none of these cases conflicts with the new theory. A new and more subdolous behavior of spurious modes is also pointed out
Keywords :
cavity resonators; eigenvalues and eigenfunctions; finite element analysis; waveguide theory; cavity resonator; electromagnetic eigenproblem; finite element model; spurious free approximation; spurious modes; waveguide; Conductors; Electromagnetic waveguides; Finite element methods; Iron; Lagrangian functions; Mesh generation; Resonance; Spectral analysis; Stress; Sufficient conditions;
Journal_Title :
Magnetics, IEEE Transactions on
