Abstract
When an oblate spheroidal shell having an aspect ratio a/b>(2 − v), where v = Poisson's ratio, is subject to hydrostatic pression, the major (a) and minor (b) axes experience strain of opposite sign [R. A. Clark and E. Reissner, J. Mech. Phys. Solids 6, 63 (1957)]. If two optical fibers, which comprise the arms of an interferometer, are wound around the equatorial and meridional circumferences of the spheroid, pressure changes induce a differential optical phase shift in the interferometer. Calculations of circumferential strain and of the optical pressure sensitivity and buckling pressure of such a sensor will be presented for thin shells (t/b≪b3/a3, where t is the shell thickness). Sample designs based on these calculations will be compared to other fiber-optic sensors of similar dimensions and materials.
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