Simulating Photons and Plasmons in a Three-dimensional Lattice Page: 3 of 13
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Simulating photons and plasmons in a
A. Pletzer a, and G. Shvetsb
a Princeton Plasma Physics Laboratory
PO Box 451
Princeton NJ 08543
b Illinois Institute of Technology
3101 South Dearborn
Chicago, IL 60616
Three-dimensional metallic photonic structures are studied using a newly devel-
oped mixed finite element-finite difference (FE-FD) code, Curly3d. The code solves
the vector Helmholtz equation as an eigenvalue problem in the unit cell of a triply
periodic lattice composed of conductors and/or dielectrics. The mixed FE-FD dis-
cretization scheme ensures rapid numerical convergence of the eigenvalue and allows
the code to run at low resolution. Plasmon and photonic band structure calculations
Key words: Band structure, Helmholtz equation, 3-D, mixed FE-FD, perfect
The recent upsurge of interest in the electrodynamics of three-dimensional pe-
riodic structures is due to the realization that composite materials can exhibit
unusual electromagnetic properties. For example, a composite material made
of poles and split ring-resonators can display negative dielectric permittivity
and magnetic permeability for a range of frequencies . Such materials known
1 This work supported by the U.S. Department of Energy under DE-AC02-
Preprint submitted to Elsevier Science
28 August 2002
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Pletzer, A. & Shvets, G. Simulating Photons and Plasmons in a Three-dimensional Lattice, report, September 3, 2002; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc734157/m1/3/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.