Abstract
The effectiveness of quadrupole vs. solenoidal focusing in suppressing the image displacement instability in linear induction electron accelerators is discussed. A brief explanation of the instability is presented; a criterion is derived for the magnitude of the solenoidal magnetic field required to suppress the instability. Two quadrupole arrangements are treated, and criteria derived for the magnitude of the pole-face field required to suppress the instability. For one arrangement the required pole-face field is less than one-half the required solenoidal field, suggesting that quadrupole focusing may have a practical advantage.
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