Relative local density of states and cloaking in finite clusters of coated cylinders

Abstract

We describe a method for accurate calculation of the Relative Local Density of States (RLDOS) as a function of frequency and position in finite sets of coated cylinders. The RLDOS is important, since it describes the interaction between sources and their environment, which controls their ability to radiate electromagnetic waves. We give numerical examples of distributions of RLDOS for clusters of cylinders with lossy coatings whose optical properties are in the range typical of metamaterials, and use these to show the tendency of RLDOS to concentrate on the coating boundaries when plasmonic cloaking is occurring.

Acknowledgements

Ross McPhedran and Lindsay Botten acknowledge support from the Australian Research Council's Discovery Grants Scheme.

Notes

†Deceased

Notes

1. To simplify the notation, in all that follows we will omit the superscript ‘(1)’.

2. We denote the cylindrical coordinates by (r, θ, z) so that we have arg(r) = θ and arg(r _q ) = θ _q , for q = 0, 1, … , N. In the case of a difference of two vectors we use arg(r − r _q ) = ϕ _q , and arg(r _p  − r _q ) = ϕ _pq , for p, q = 0, 1, … , N.

3. For the electric and magnetic fields, we use a bold calligraphic symbol to denote that the components of the field are given in a Cartesian system of coordinates, and a simple bold symbol for cylindrical coordinates.

Additional information

Notes on contributors

N.-A.P. Nicorovici†

†Deceased