Quantitative Theory for Predicting Fringe Pattern Formation in Holographic Interferometry

Abstract

The effectiveness of holographic interferometry for displacement studies was investigated and profiles of the fringe patterns characteristic of the basic displacement modes were developed. In addition, techniques were established for determining displacement directions and measuring displacement magnitudes. Procedures were also established for extending these studies to evaluate complex displacements. A quantitative theory for predicting fringe pattern formation was developed.

Formation of circular fringes by interference of two boundary diffraction waves using holography

“…The sources seen from the observation point can be separated laterally or longitudinally generating straight and circular fringes, respectively. A detailed description of fringe formation in holography during different positions can be found in [16], where various translations and tilts are given to the object to study the shape of the fringes. In the present case, we have given tilts and translations to the hologram to generate circular fringes and to change their position in the observation plane.…”

Straight, conic and circular fringes in single interferogram

“…Interference fringes play an important role in generating structured light for 3D shape measurement and surface profiling [7,8]. In holography as well, the fringe shape is used to get information about the deformation of the object, its translation or tilt direction and magnitude [9]. The structure of interference fringes plays an important role in laser beam shaping [10] and in interference lithography [11].…”