Talbot effect application: measurement of distance with a Fourier-transform method

Abstract

In this work, we use the diffraction properties of gratings (Talbot effect) to obtain a distance measurement through a Fourier transform method. The proposed technique is easy to use and requires low mechanical stability. Furthermore, it is suitable for out-of-laboratory applications and provides real-time (frame refresh) data acquisition capability.

In-plane displacement measurement by using circular grating Talbot interferometer

“…The Talbot effect, referred as the phenomena of self-imaging [23][24][25][26][27][28][29], states that the amplitude distribution of periodic function of transverse coordinates x and y will also be periodic in propagation direction [30]. The theoretical analysis of field distribution in Talbot interferometer with two circular gratings is derived based on the scalar diffraction theory [31,32].…”

The Talbot effect in the terahertz spectral range

“…The Talbot effect in the visible range was used for distance measurements (see e. g. [5]). This capability was applied to measurement of the distance x l between a microbolometer array surface and a silicon window ( 2 w l = mm, 3.41 n = ).…”

Simultaneous Measurement of In-Plane and Out-of-Plane Displacements Using Talbot Fringe Projection

“…In optical metrology, the Talbot effect has been exploited for the measurement of displacement and distance [16][17][18][19][20], the measurement of contouring [21][22][23][24], and surface roughness [25,26]. Linear gratings and circular gratings are commonly employed in applications of the Talbot effect due to their simple patterns and the ease of analysis of the moiré fringes [27].…”