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This paper analyzes the longitudinal space charge (LSC) impedances of a rounduniform beam inside a rectangular and parallel plate chambers using the imagecharge method. This analysis is valid for arbitrary wavelengths and thecalculation converges fast. The research shows that only a few of the imagebeams are needed to obtain a relative error less than 0.1%. The beam offseteffect is also discussed in the analysis.

Analysis of the longitudinal space charge impedance of a round uniform beam inside parallel plates and rectangular chamber