Diffraction through a sub-wavelength aperture

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SUMMARY

The discussion centers on the need for a comprehensive reference detailing the full field solution for diffraction through a sub-wavelength aperture, specifically a circular aperture in a perfectly-conducting screen. Claude references works by Bethe, Bouwkamp, and Brillouin, noting that while they provide formalism, they lack explicit solutions. He highlights a potential exact solution derived by Bouwkamp in 1953, which remains inaccessible to him, and seeks confirmation of its validity.

PREREQUISITES
  • Understanding of diffraction theory
  • Familiarity with plane wave propagation
  • Knowledge of electromagnetic theory
  • Access to historical scientific literature
NEXT STEPS
  • Research Bouwkamp's 1953 paper on diffraction solutions
  • Explore Bethe's work on diffraction theory
  • Study the implications of Kirchhoff's diffraction formula
  • Investigate modern computational methods for diffraction analysis
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Physicists, optical engineers, and researchers focused on wave optics and diffraction phenomena, particularly those seeking to understand sub-wavelength aperture effects.

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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