Transform spectrometer based on measuring the periodicity of Talbot self-images

Abstract

We demonstrate a compact transform spectrometer based on measuring the periodicity of Talbot self-images. The system has no moving parts; it contains only a tilted absorption grating that is imaged onto a CCD camera. The linear architecture of the system makes it possible to use this design in imaging arrays of spectrometers. Unlike other transform spectrometers, its resolution is independent of wavelength.

Non-steady-state photoelectromotive force induced by a vibrating Ronchi grating: manifestation of a fractal structure

“…The minima for the planes z z 0 ∕2 and z 3z 0 ∕2 are especially pronounced and easily identified, and its small width permits the determination of Talbot distance with an exactitude of about z 0 ∕10 4 ; this figure is much better than for traditional methods [25,26] based on the averaged pattern contrast, and it can be further improved by optimizing the experimental geometry (in particular by using wider beams) and by diminishing the detector diffusion length. The high accuracy obtained can be useful for optical testing, spectrometry [27], and metrology. …”

Non-paraxial Talbot Effect for Building Compact Spectrometers

“…Because of the elimination of explicit orthogonal imaging optics, a computational approach opens possibilities for spectrometry with unconventional form factors as well as enhanced sensitivity due to the multiplexing advantage. Here, with a similar design principle in mind, we explore the possibility of utilizing the mid-field Talbot effect [5] under non-paraxial conditions as the dispersion mechanism for building a compact spectrometer. …”

Effective and flexible modeling approach to investigate various 3D Talbot carpets from a spatial finite mask

“…For example, Talbot interferometry allows to study the surface profile of transparent objects [3], the slope contours of bent plates [4] and also was used for collimation testing [5]. Additionally, the selfimaging properties of the Talbot effect are also suitable for sub-wavelength focusing of light [6] and offer new solutions for spectroscopy [7,8].…”