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Local magnetic fields emanating from recording tapes and heads have been measured by observing their effect on the beam of a scanning electron microscope. Theoretical calculations indicate that tape fields recorded at densities up to 25 000 flux reversals/inch should be observable. A variation on the basic technique, using the astigmatic aberration of the electron beam, can be used to measure field gradients directly.
Thornley et al. (1969) studied this question.