DocumentCode
2697570
Title
Power series for waves in micro-resonator arrays
Author
Shipman, Stephen P.
Author_Institution
Dept. of Math., Louisiana State Univ., Baton Rouge, LA, USA
fYear
2010
fDate
6-8 Sept. 2010
Firstpage
1
Lastpage
6
Abstract
We obtain convergent power-series representations for Bloch waves and their complex dispersion relation in an infinite periodic array of micro-resonators, which exhibits artificial bulk magnetism. The small parameter η of expansion is the ratio of period to wavelength, and the high conductivity is inversely proportional to η. The coefficient fields are solutions to an infinite sequence of period-cell problems.
Keywords
electrical conductivity; magnetism; micromechanical resonators; Bloch waves; artificial bulk magnetism; complex dispersion relation; infinite periodic array; infinite sequence; microresonator array; period-cell problem; power-series representation; Conductivity; Convergence; Dispersion; Electromagnetics; Equations; Metamaterials;
fLanguage
English
Publisher
ieee
Conference_Titel
Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on
Conference_Location
Kyiv
Print_ISBN
978-1-4244-8859-9
Type
conf
DOI
10.1109/MMET.2010.5611403
Filename
5611403
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