Light Scattering on a Chain of Cylinders in a Quasi-Static Approximation

The subwavelength scattering of a plane electromagnetic wave incident to an array of parallel cylinders along a normal to its plane is considered in a quasi-static approximation when the wavelength is much larger than the array period. The solution for the electrical field potential is presented in the form of a series in Laplacian eigenfunctions. The coefficients of the series are found by using a conformal mapping, which drastically simplifies the boundary conditions. The result of solving the Laplacian equation within the framework of conformable mapping is compared with the calculation of a wave problem in the COMSOL® Multiphysics environment. The quantitative difference between the found electrical field intensities is less than 1 $$%$$ at a wavelength, which is 60 times longer than the array period.