Journal
OPTICS EXPRESS
Volume 21, Issue 12, Pages 14926-14942Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.21.014926
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Funding
- Ben Eggleton, CUDOS
- University of Sydney
- National Science Foundation [DMS-1211359]
- Australian Research Council through its Discovery Grant Scheme
- Centre for Ultrahighband width Devices for Optical Systems (CUDOS) is an ARC Centre of Excellence [CE110001018]
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The quasistatic field around a circular hole in a two-dimensional hyperbolic medium is studied. As the loss parameter goes to zero, it is found that the electric field diverges along four lines each tangent to the hole. In this limit, the power dissipated by the field in the vicinity of these lines, per unit length of the line, goes to zero but extends further and further out so that the net power dissipated remains finite. Additionally the interaction between polarizable dipoles in a hyperbolic medium is studied. It is shown that a dipole with small polarizability can dramatically influence the dipole moment of a distant polarizable dipole, if it is appropriately placed. We call this the searchlight effect, as the enhancement depends on the orientation of the line joining the polarizable dipoles and can be varied by changing the frequency. For some particular polarizabilities the enhancement can actually increase the further the polarizable dipoles are apart. (C) 2013 Optical Society of America
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