Exact solution of complex-source Gaussian beam scattering by finite photonic crystals

Details Exact solution of complex-source Gaussian beam scattering by finite photonic crystals Exact solution of complex-source Gaussian beam scattering by finite photonic crystals

2012-04-24

arxiv.org/abs/1204.5380v1

Physics

Optics

Scientific paper

We present an exact solution to the problem of a Gaussian beam incident on a two-dimensional array of cylindrical scatterers of arbitrary radius, position and permittivity. To this end, we have derived two series expansions of a 2D complex point-source solution describing a paraxial Gaussian beam in cylindrical coordinates. These expansions are used to compute the scattered field using Mie algorithm. Numerical computations of the field scattered by a typical finite-size photonic crystal illustrate our findings.

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