## Scattering properties of an impedance-matched, ideal, homogeneous, causal “left-handed” sphere

JOSA A, Vol. 21, Issue 12, pp. 2311-2319 (2004)

http://dx.doi.org/10.1364/JOSAA.21.002311

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### Abstract

The plane-wave scattering properties of a sphere of material having an ideal, homogeneous, and causal permittivity ε(f), and permeability μ(f) were investigated through detailed three-dimensional finite-difference time-domain, method-of-moments, and series-solution simulations. A Lorentzian functional form was chosen for ε(f) and μ(f), as it yields causal responses and allows us to study the physics of the left-handed-medium (LHM) regime. Our interest lies mainly in the frequency range where negative refraction [Re(n)<0] is observed. We found that when operating in the LHM regime, an impedance-matched sphere responds with scattering features strikingly different from those found in ordinary materials. In particular, we found zero backscattering and forward scattering that exceeds that of a metal sphere of similar size. The equality of *E*- and *H*-plane patterns was proved analytically and numerically, and the possibility of internal subwavelength focusing with a zero index sphere is also reported.

© 2004 Optical Society of America

**OCIS Codes**

(260.1960) Physical optics : Diffraction theory

(260.2110) Physical optics : Electromagnetic optics

(290.0290) Scattering : Scattering

(290.1350) Scattering : Backscattering

(290.4020) Scattering : Mie theory

**Citation**

Cesar Monzon, Donald W. Forester, and Louis N. Medgyesi-Mitschang, "Scattering properties of an impedance-matched, ideal, homogeneous, causal “left-handed” sphere," J. Opt. Soc. Am. A **21**, 2311-2319 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-12-2311

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