2011
DOI: 10.1088/0143-0807/32/3/005
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Undergraduate experiment with fractal diffraction gratings

Abstract: We present a simple diffraction experiment with fractal gratings based on the Triadic Cantor Set. Diffraction by fractals is proposed as a motivating strategy for the students of optics about the potential applications of optical processing. The Fraunhofer diffraction patterns were obtained with the standard equipment present in most undergraduate physics labs and compared with that obtained with conventional periodic gratings. It is shown that fractal gratings produce self-similar diffraction patterns which c… Show more

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Cited by 13 publications
(7 citation statements)
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“…Many researchers have developed grids for diffraction experiments using natural resources such as banana stalks, onion skins, fish fins, butterfly wings, and plastic bags (Aji et al, , 2019England et al, 2014;Groff, 2012;Monsoriu et al, 2011;Parker and Martini, 2014). In addition, diffraction experiments can be carried out with sophisticated digital devices (Paixão et al, 2021;Piunno, 2017).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Many researchers have developed grids for diffraction experiments using natural resources such as banana stalks, onion skins, fish fins, butterfly wings, and plastic bags (Aji et al, , 2019England et al, 2014;Groff, 2012;Monsoriu et al, 2011;Parker and Martini, 2014). In addition, diffraction experiments can be carried out with sophisticated digital devices (Paixão et al, 2021;Piunno, 2017).…”
Section: Introductionmentioning
confidence: 99%
“…Experimental results with waveguides can be compared with predictions made by paired modes (Eisenberg et al, 2000). The Fraunhofer diffraction pattern can be observed with fractal lattices, which produce a similar diffraction pattern on its own, which can be evaluated analytically (Monsoriu et al 2011). Another study carried out simulations of the diffraction of waves through slits using an excel spreadsheet that could visualize the effect of different parameter variations such as several gaps, light wavelength, gap width, and gap separation on the Fraunhofer diffraction pattern (Singh et al, 2018).…”
Section: Introductionmentioning
confidence: 99%
“…Other non-traditional diffractive objects such fractals are also very motivational because they offer a way to introduce students to basic research activities [7]. Between the complete order (periodic) and disorder (non-periodic), many other aperiodic distributions following deterministic sequences also display characteristic discrete Fourier spectra [8].…”
Section: Introductionmentioning
confidence: 99%
“…Another example of construction of diffracting elements is the production of slits by a low cost photolithographic process 13 . In references 14,15 , the diffraction patterns of fractal Cantor set and Fibonacci sequence based gratings are studied, respectively. Typically, in many of these experiments a CCD image sensor is used for the digital registration of the diffraction patterns, with Ref.…”
Section: Introductionmentioning
confidence: 99%