Abstract
The problem of scalar wave scattering by a cylinder buried in a planar substrate is analytically solved. The solution is in the form of a coupled set of linear equations relating the coefficients of reflection and transmission of the planar substrate and those of scattering and transmission of the cylinder. The coupling is due to the process of multiple scattering by the two objects. Iterative substitution gives the solution in the form of a set of infinite series, and each term explicitly shows the effect of multiple scattering of increasing order.
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Kim, J.S. A theory of scalar wave scattering by a cylinder buried in a planar substrate. Journal of the Korean Physical Society 70, 771–776 (2017). https://doi.org/10.3938/jkps.70.771
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DOI: https://doi.org/10.3938/jkps.70.771