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A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential
Standard solvers for the variable coefficient Helmholtz equation in two
spatial dimensions have running times which grow quadratically with the
wavenumber . Here, we describe a solver which applies only when the
scattering potential is radially symmetric but whose running time is
in typical cases. We also present the
results of numerical experiments demonstrating the properties of our solver,
the code for which is publicly available