The optical Talbot effect for monochromatic light, shown as a "Talbot carpet". At the bottom of the figure the light can be seen diffracting through a grating, and this pattern is reproduced at the top of the picture (one Talbot length away from the grating). At regular fractions of the Talbot length the sub-images form.
The Talbot effect is a diffraction effect first observed in 1836 by Henry Fox Talbot.[1] When a plane wave is incident upon a periodic diffraction grating, the image of the grating is repeated at regular distances away from the grating plane. The regular distance is called the Talbot length, and the repeated images are called self images or Talbot images. Furthermore, at half the Talbot length, a self-image also occurs, but phase-shifted by half a period (the physical meaning of this is that it is laterally shifted by half the width of the grating period). At smaller regular fractions of the Talbot length, sub-images can also be observed. At one quarter of the Talbot length, the self-image is halved in size, and appears with half the period of the grating (thus twice as many images are seen). At one eighth of the Talbot length, the period and size of the images is halved again, and so forth creating a fractal pattern of sub images with ever-decreasing size, often referred to as a Talbot carpet.[2] Talbot cavities are used for coherent beam combination of laser sets.
^Talbot, H.F. (1836). "LXXVI. Facts relating to optical science. No. IV". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 9 (56): 401–407. doi:10.1080/14786443608649032.
^Case, William B.; Tomandl, Mathias; Deachapunya, Sarayut; Arndt, Markus (2009). "Realization of optical carpets in the Talbot and Talbot–Lau configurations". Opt. Express. 17 (23): 20966–20974. Bibcode:2009OExpr..1720966C. doi:10.1364/OE.17.020966. PMID 19997335.
The Talboteffect is a diffraction effect first observed in 1836 by Henry Fox Talbot. When a plane wave is incident upon a periodic diffraction grating...
William Henry Fox Talbot FRS FRSE FRAS (/ˈtɔːlbət/; 11 February 1800 – 17 September 1877) was an English scientist, inventor, and photography pioneer who...
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diffraction Fresnel imager Fresnel integral Fresnel zone Near and far field Talboteffect Zone plate Jenkins & White (1957). Krist (2007). Born & Wolf (2000)...
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credited with coining the word, independent of Talbot, in 1839. The inventors Nicéphore Niépce, Talbot, and Louis Daguerre seem not to have known or used...
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Automobiles Talbot and the Suresnes products were branded just Talbot. His Suresnes business continued, still under British control, under the name Talbot until...
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