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Thin film structures in either Cartesian or cylindrical geometries. Terminals E and F are held at a constant voltage relative to terminal GH, which is grounded. The vertical dash-dot line is the axis of rotation for the cylindrical geometry.
as a function of , for the Cartesian structure in Fig. 1. The solid line represents the conformal mapping results [Eq. (2)], the dashed lines represent the asymptotes [Eq. (3)], and the symbols represents the Fourier series representation calculation.
as a function of , for the cylindrical structure in Fig. 1. The theoretical result (line) [Eq. (5)] is compared to MAXWELL 3D simulation (symbols). In the simulation, we set , , ranging from 0.01 to 4 mm with fixed , and ranging from 0.1 to 20 mm with fixed , and a terminal voltage was applied.
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