Abstract
A form of the Poisson summation formula appropriate for the transformation of infinite Fourier series is derived and shown to be applicable to slowly converging series arising in the solution of Laplace's equation in a rectangular electrochemical cell. The result is a rapidly convergent Fourier series which is particularly useful in giving the potential close to the electrode surface. Results obtained from the analytical expression are found to be in close agreement with those resulting from numerical evaluation of the Fourier integrals (using Simpson's rule and the Euler transformation) and direct summation by using Goertzel's (1958) algorithm.
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