Cavities Involving Metamaterials With an Uncountable Set of Resonant Frequencies

In this letter, it is shown that cavity resonators involving lossless and nondispersive (in a frequency band) double negative metamaterials can behave in a completely different way with respect to the cavities involving only traditional nondispersive double positive media. More precisely, it is prov...

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Bibliographic Details
Published in:IEEE microwave and wireless components letters 2007-08, Vol.17 (8), p.565-567
Main Authors: Bozza, G.., Oliveri, G.., Raffetto, M..
Format: Article
Language:English
Subjects:
Applied sciences
Cavity resonators
Circuit properties
Conducting materials
Dielectric losses
Dielectric materials
eigenvalue problems
Eigenvalues and eigenfunctions
Electric, optical and optoelectronic circuits
Electromagnetism
Electronic circuits
Electronics
Engineering Sciences
Exact sciences and technology
Holes
Magnetic materials
Materials
Mathematical models
Media
Metamaterials
Microwaves
numerical methods
Numerical simulation
Oscillators, resonators, synthetizers
Resonance
Resonant frequencies
Resonant frequency
Signal and Image processing
Simulators
Solvers
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Summary:In this letter, it is shown that cavity resonators involving lossless and nondispersive (in a frequency band) double negative metamaterials can behave in a completely different way with respect to the cavities involving only traditional nondispersive double positive media. More precisely, it is proven that resonators with only nondispersive media may have an uncountable set of resonant frequencies. As practical consequences, it is outlined that this fact can represent an unsurmountable difficulty for present-day numerical simulators of electromagnetic eigenproblems and a cause of troubles for numerical solvers of electromagnetic driven problems. The presented result should warn users of numerical simulators against the employment of simplified models of metamaterials.
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2007.901760