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Phys. Rev. E 69, 057601 (2004) [4 pages]

Electromagnetic density of modes for a finite-size three-dimensional structure

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Giuseppe D’Aguanno1,2,3,*, Nadia Mattiucci1,2,4, Marco Centini2,3, Michael Scalora2, and Mark J. Bloemer2
1Time Domain Corporation, Cummings Research Park, 7057 Old Madison Pike, Huntsville, Alabama 35806, USA
2Weapons Sciences Directorate, Research Development and Engineering Center, U.S. Army Aviation & Missile Command, Building 7804, Redstone Arsenal, Alabama 35898-5000, USA
3INFM at Dipartimento di Energetica, Università di Roma “La Sapienza,” Via A. Scarpa 16, I-00161 Rome, Italy
4Università “RomaTre,” Dipartimento di Fisica “E. Amaldi,” Via Della Vasca Navale 84, I-00146 Rome, Italy

Received 29 September 2003; published 24 May 2004

The concept of the density of modes has been lacking a precise mathematical definition for a finite-size structure. With the explosive growth in the fabrication of photonic crystals and nanostructures, which are inherently finite in size, a workable definition is imperative. We give a simple and physically intuitive definition of the electromagnetic density of modes based on the Green’s function for a generic three-dimensional open cavity filled with a linear, isotropic, dielectric material.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.057601
DOI:
10.1103/PhysRevE.69.057601
PACS:
42.70.Qs, 41.20.−q

*Electronic address: giuseppe.daguanno@timedomain.com