Abstract
The general theory of time-averaged holographic interferometry has been analytically extended to take account of possible motion of the surface under investigation in three dimensions but in simple harmonic motion at a single frequency. The argument of the characteristic function is replaced with an expression which includes the effects of motion in orthogonal directions as well as the directions of illumination and observation. The amended characteristic function formula is used to calculate the radial and tangential components of a vibrating cylinder from several time-averaged holograms. The components thus calculated agree well with theoretical predictions for the cylinder Love mode. Thus the problem of the strange shift in amplitude plots previously reported [1] when holograms from different angles were taken of vibrating curved surfaces is resolved.
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