Far-field analysis of axially symmetric three-dimensional directional cloaks

Optics Express, Vol. 21, Issue 8, pp. 9397-9406 (2013).

Cristian Ciracì, Yaroslav Urzhumov, and David R. Smith.

 

Center for Metamaterials and Integrated Plasmonics, and Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, U.S.

 

Abstract

 

Axisymmetric radiating and scattering structures whose rotational invariance is broken by non-axisymmetric excitations present an important class of problems in electromagnetics. For such problems, a cylindrical wave decomposition formalism can be used to efficiently obtain numerical solutions to the full-wave frequency-domain problem. Often, the far-field, or Fraunhofer region is of particular interest in scattering cross-section and radiation pattern calculations; yet, it is usually impractical to compute full-wave solutions for this region. Here, we propose a generalization of the Stratton-Chu far-field integral adapted for 2.5D formalism. The integration over a closed, axially symmetric surface is analytically reduced to a line integral on a meridional plane. We benchmark this computational technique by comparing it with analytical Mie solutions for a plasmonic nanoparticle, and apply it to the design of a three-dimensional polarization-insensitive cloak.

© 2013 OSA

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Far-field analysis of axially symmetric three-dimensional directional cloaks

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