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Perturbation methods are applied to the problem of calculating the attenuation of signals consisting of compensated space charges moving in an electric field of general, but prescribed, form. Asymptotic formulas for attenuation and phase shift are derived which apply when the diffusion currents giving rise to attenuation are small compared to the field-induced currents. Alternate expansions of the continuity equation, e.g., in terms of the frequency, are discussed in a mathematical appendix.
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