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RESEARCH PRODUCT

Undergraduate experiment with fractal diffraction gratings

Juan A. MonsoriuJ.c. BarreiroA. PonsMarcos H. GiménezWalter D. Furlan

subject

DiffractionPhysics::OpticsGeneral Physics and Astronomysymbols.namesakeOpticsFractalSelf-similarDiffraction gratingPhysicsOptical processingScience instructionUndergraduate experimentPotential applicationsbusiness.industryPeriodic gratingsDiffraction patternsCantor setsOptical processingFraunhofer diffractionCantor setInterferometryPhysics laboratoriesFractalsInterferometryStandard equipmentsFISICA APLICADAsymbolsNumerical resultsDiffraction gratingsFraunhofer diffraction patternsbusinessExperiments

description

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 students of optics in the potential applications of optical processing. Fraunhofer diffraction patterns are obtained using standard equipment present in most undergraduate physics laboratories and compared with those obtained with conventional periodic gratings. It is shown that fractal gratings produce self-similar diffraction patterns which can be evaluated analytically. Good agreement is obtained between experimental and numerical results. © 2011 IOP Publishing Ltd.

10.1088/0143-0807/32/3/005https://hdl.handle.net/10251/60063