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A hydrodynamic model is used to study the magnetoplasma modes of a two-dimensional electron fluid confined to a thin circular disk and screened by two parallel grounded planes. For arbitrary values of the screening parameter, the equations are reduced to a single integral equation that is solved by expanding in a complete set of polynomials. The smallest resulting eigenfrequency for each angular quantum number represents the corresponding edge mode for this geometry.
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Alexander L. Fetter (1986) studied this question.
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