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- W4385156913 abstract "In electromagnetism courses, students often solve Poisson's equation for a point charge in the presence of an infinitely large perfectly conducting planar surface, usually by the method of images. However, no surface is perfectly flat; so at some level, corrugations must be introduced to model the real world. Clinton et al. [Phys. Rev. B 31, 7540 (1985)] solved the problem, including corrugations, using a perturbative calculation of the corresponding Green's function. We provide a detailed pedagogical review of this calculation and extend it in order to solve for the electrostatic potential of a corrugated neutral conducting cylinder in the presence of a uniform electric field. These calculations can be used as pedagogical examples of this perturbative approach in electromagnetism courses." @default.
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- W4385156913 date "2023-08-01" @default.
- W4385156913 modified "2023-09-26" @default.
- W4385156913 title "Introducing corrugated surfaces in electrostatic problems via a perturbative approach" @default.
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- W4385156913 doi "https://doi.org/10.1119/5.0099928" @default.
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