Quasistatic optical response of separate, touching, and intersecting cylinder pairs

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Abstract
By use of a unified approach involving conformal transformations, useful expressions have been derived for the dipole moment induced on cylinder pairs in a uniform electric field when the pairs are separate, touching, and intersecting. The results involve no restrictions on the dielectric constants of the particles and can be used in studies of arrays. A major advantage of the technique over previous work using the method of images is its ability to handle a close approach between more complex particles such as coated cylinders. Examples of optical property modeling are given for arrays of aluminum columns along with an example of their application to coated cylinders. A sharp enhancement in response is found as the particles approach the touching limit, while once they intersect there is an even sharper falloff in polarizability. The results clearly show that once multipolar effects become important the structural arrangement of the absorbing material, rather than its quantity, dominates the dielectric response.

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