A self-consistent analysis of a radio-frequency impedance of a negatively biased spherical probe in a warm, isotropic plasma is given. Linearized zero- and first-order hydrodynamic and Maxwell equations are numerically solved for a specified probe-retarding potential, and the influence of a realistic sheath structure upon the resonance behavior is discussed. It is concluded that the usual abrupt-sheath model can safely be a good approximation for the study of radio frequency properties of a probe immersed in a plasma.
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