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One of the options open for improving linear ion accelerators is to use focusing by a high-frequency (hf) quadrupole field. The theory of linear accelerators with hf quadrupole focusing has been put forth in a number ofeontributionsto the literature; the reader will find a list of publications and reference list of formulas in [1]. A model of such an accelerator is now under study at IFVE (Institute of High-Energy Physics).