The generalized Debye source representation of time-harmonic electromagneticfields yields well-conditioned second-kind integral equations for, amongothers, the problems of scattering from perfect electric conductors anddielectric bodies. Furthermore, these representations, and resulting integralequations, are fully stable in the static limit as $omega o 0$ in multiplyconnected geometries. In this paper, we present the first high-order accuratesolver based on this representation for bodies of revolution, and compare withexisting schemes based on classical representations and integral equations. Theresulting solver uses a Nystr"om discretization of a generating curve, withspectral-integral methods for applying and inverting surface differentials. Theaccuracy and speed of the solver are demonstrated in several numericalexamples.
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