Talbot and fourier moiré deflectometry and its applications in engineering evaluation

Adaptation of the Fourier–Hankel method for deflection tomographic reconstruction of axisymmetric field

“…The common error sources in deflectometric Moiré fringes are the Gaussian background, speckle noise, and Talbot effect [23]. For flow visualization and heat transfer measurement, the Moiré fringe displacement caused by thermal flow is generally small, only about the fringe interval (see Fig.…”

Ray aberrations of two-dimensional oblique lattices on the self-image plane

“…The image evaluation technique is useful in various applications related to the self-image formation of structures of linear or rectangular periodicity [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The self-imaging effect is not limited to the patterns of linear or rectangular periodicity but extended to the patterns of hexagonal periodicity [18][19][20][21][22].…”

First-order aberration of a misfocused self-imaging system

“…Eversince the first discovery of self-imaging [1,2], various aspects of this phenomenon have been successfully applied in the fields of optical metrology [3][4][5][6][7][8][9][10][11][12], synthesis of mutiple images [13,14] and a regular array of illuminators [15,16]. The self-imaging effect is observed under appropriate conditions when a light (or matter) wave is transmitted through (or reflected from) a periodic pattern, and the observed results can be explained by using a scalar theory of diffraction with a parabolic approximation of the optical path length [17][18][19][20][21][22].…”