Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material

Details Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material

2012-03-11

arxiv.org/abs/1203.2311v1

Opt. Express 17, 6747-6752 (2009)

Physics

Optics

7 pages, 3 figures

Scientific paper

10.1364/OE.17.006747

We have investigated the transmission and reflection properties of structures incorporating left-handed materials with graded index of refraction. We present an exact analytical solution to Helmholtz' equation for a graded index profile changing according to a hyperbolic tangent function along the propagation direction. We derive expressions for the field intensity along the graded index structure, and we show excellent agreement between the analytical solution and the corresponding results obtained by accurate numerical simulations. Our model straightforwardly allows for arbitrary spectral dispersion.

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