Abstract
The power series solution for the diffraction of a scalar plane wave incident normally on a small circular aperture in a hard screen is extended to include terms of order α12 in the aperture field, and to terms of order α10 in the transmission coefficient (α = 2π × radius of aperture/wavelength). To do this, a set of recurrence relations is developed, and a relatively simple method of obtaining the transmission coefficient is devised.

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