Diffraction through a sub-wavelength aperture

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The discussion focuses on seeking references for the full field solution of a plane wave interacting with a circular aperture in a perfectly conducting screen, particularly solutions that are valid when the aperture radius is comparable to the wavelength. The user has explored works by Bethe, Bouwkamp, and Brillouin but found them lacking in specific solutions. Bouwkamp's earlier work from 1953 is mentioned as potentially containing an exact solution, but access to the paper is a challenge. There is also a request for confirmation regarding the correctness of Bouwkamp's solution. The thread emphasizes the need for detailed solutions in the context of diffraction through sub-wavelength apertures.
Claude Bile
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Hi all,

Can anyone provide a reference (textbook or paper) giving the full field solution (or the on-axis solution at least) of a plane wave incident on an infinite, perfectly-conducting screen with a circular aperture with a radius comparable to the wavelength of the incident wave?

I have looked up several papers written by Bethe, Bouwkamp and Brillouin, however they only discuss the formalisms and not the solutions themselves. Bouwkamp hinted that he derived an exact solution in one of his earlier papers, however the paper is quite old (1953) and I don't seem to be able to get access too it. Also, can anyone confirm whether Bouwkamp's solution is correct?

Thanks in advance,
Claude.
 
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