Abstract
The influence of the roughness of the surface on the resonance frequency of an electromagnetic cavity is calculated. The roughness of the surface is described by a stochastic process and the frequency shift is then found as an expectation value. If the correlation distance of the surface roughness is much smaller than the curvature radius of the cavity wall, a quite simple formula for the frequency shift is found.
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De Mey, G. Frequency shift in cavities with rough walls. Appl. Phys. 12, 83–86 (1977). https://doi.org/10.1007/BF00900072
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DOI: https://doi.org/10.1007/BF00900072