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Modeling and theory involving metamaterial photonic structures
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Paper Abstract

The literature is alive with papers devoted to the design of metamaterials and there appears to be a particular desire to create photonic applications that will operate at THz frequencies and above. At one level the modelling of suitable artificial molecules is straightforward but nevertheless the approximations involved need to be able to inspire confidence for optical frequency operation. This presentation will set out a modelling activity that is known to be satisfactory only over certain frequency ranges. Split-ring and omega particles will be specifically investigated and the possibilities discovered will be related to the current experimental expertise. The detailed manner in which the constitutive relations can be controlled and the novel way in which an envelope equation emerges for even the most complex structure is exposed. The transmission and reflection properties of nano-structured materials will be discussed within a magneto-optic environment. Simulations of sub-wavelength transmission through holes in metallic and magneto-optic screens will be discussed using finite-difference time-domain (FDTD) methods. Modelling the interaction of light beams with metamaterials is developed, again using FDTD techniques, and it is shown that special care needs to be taken with structures that have sharp external edges. Finally, a summary of the problems surrounding efficient computations will be shown and some discussion of the role of genetic algorithms in metamaterial design will be featured.

Paper Details

Date Published: 8 September 2006
PDF: 10 pages
Proc. SPIE 6328, Nanomodeling II, 63280F (8 September 2006); doi: 10.1117/12.681636
Show Author Affiliations
Allan D. Boardman, Univ. of Salford (United Kingdom)
Neil King, Univ. of Salford (United Kingdom)
Larry Velasco, Univ. of Salford (United Kingdom)
Yuriy Rapoport, National Taras Shevchenko Univ. (Ukraine)

Published in SPIE Proceedings Vol. 6328:
Nanomodeling II
Akhlesh Lakhtakia; Sergey A. Maksimenko, Editor(s)

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