Abstract

Previous theoretical work on hologram interferometry is reduced, in this paper, to a number of guide lines for fringe interpretation. One of the most helpful is that, for any combination of rigid-body motion and homogeneous deformation, fringes appear on the object as though it intersected a set of equally spaced lamina perpendicular to a specific fringe vector. This elucidates the role that object shape plays in determining fringe patterns. Fringe localization for slit-apertured optical systems and fringe parallax are compared and the conditions for their equivalence are presented. The line of fringe localization that results from observation with a large two-dimensional aperture in an optical system is shown to have a simple geometrical relationship to the axis of the helical motion that may characterize any rigid-body motion. The orientation of fringes in their region of localization can be used to differentiate between rigid-body motions and some homogeneous deformations.

© 1974 Optical Society of America

Homogeneous deformations: determination by fringe vectors in hologram interferometry

Karl A. Stetson
Appl. Opt. 14(9) 2256-2259 (1975)

Holographic interferometry: compensation for rigid body motion

C. P. Hu, J. L. Turner, and C. E. Taylor
Appl. Opt. 15(6) 1558-1564 (1976)

Analysis of double-exposure speckle photography with two-beam illumination

Karl A. Stetson
J. Opt. Soc. Am. 64(6) 857-861 (1974)

Sandwich hologram interferometry. 5: Measurement of in-plane displacement and compensation for rigid body motion

Nils Abramson and Hans Bjelkhagen
Appl. Opt. 18(16) 2870-2880 (1979)

Effects of Beam Modulation on Fringe Loci and Localization in Time-Average Hologram Interferometry

Karl A. Stetson
J. Opt. Soc. Am. 60(10) 1378-1388 (1970)