The T matrix for acoustic and electromagnetic scattering by circular disks

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Abstract
The T matrix for scattering of waves by a circular disk is derived. Both the scalar (Dirichlet and Neumann boundary conditions) and the vector (perfectly conducting disk) cases are considered and the use of alternative choices for surface field functions is discussed in detail, and it is found that either type of the surface field representation is equally good for the disk case. Analytic expression of the farfield amplitude and total cross section is given in the low‐frequency limit for both plane‐wave incidence or a point source. Numerical results are presented for the two scalar cases as well as for the perfectly conducting disk. Finally, we give a computation of scattering from two parallel perfectly conducting disks.

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