000129864 001__ 129864
000129864 005__ 20240112163659.0
000129864 0247_ $$2doi$$a10.1016/j.ijleo.2021.167921
000129864 0248_ $$2sideral$$a126788
000129864 037__ $$aART-2021-126788
000129864 041__ $$aeng
000129864 100__ $$0(orcid)0000-0003-3178-5253$$aTorcal-Milla F.J.$$uUniversidad de Zaragoza
000129864 245__ $$aA simple approach to the suppression of the Gibbs phenomenon in diffractive numerical calculations
000129864 260__ $$c2021
000129864 5060_ $$aAccess copy available to the general public$$fUnrestricted
000129864 5203_ $$aThe Gibbs phenomenon is a well-known effect that is produced at discontinuities of a function represented by the Fourier expansion when it is truncated to perform numerical calculations. This phenomenon appears because it is not possible to fit a discontinuous function as the summation of continuous functions, such as it is done with the Fourier expansion. Only considering infinite terms of the summation, the Fourier expansion fits the real signal. From a general point of view, it will affect to the final results since the representation of the signal does not include higher frequencies. It is true that the higher is the truncation, the better are the results, but an error is always committed. The Gibbs phenomenon has been studied in electric signal and diffractive optics, where the Fourier expansion is commonly used. In this work, we drop complex mathematics to show the effect of the Gibbs phenomenon on the near field propagation of diffraction gratings (self-imaging phenomenon) and also possible implementations of some corrections which allow diminishing the analytical or numerical errors in comparison with less accurate approaches. Anyway, the conclusions of this work would be applicable to other numerically solved diffractive problems which include sharp edges apertures. Simulations are compared with experiments giving interesting results. © 2021 Elsevier GmbH
000129864 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E44-20R$$9info:eu-repo/grantAgreement/ES/UZ/JIUZ-2020-CIE-06
000129864 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000129864 590__ $$a2.84$$b2021
000129864 591__ $$aOPTICS$$b42 / 100 = 0.42$$c2021$$dQ2$$eT2
000129864 592__ $$a0.523$$b2021
000129864 593__ $$aElectrical and Electronic Engineering$$c2021$$dQ2
000129864 593__ $$aAtomic and Molecular Physics, and Optics$$c2021$$dQ2
000129864 594__ $$a4.8$$b2021
000129864 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000129864 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada
000129864 773__ $$g247 (2021), 167921 [6 pp]$$pOptik$$tOptik$$x0030-4026
000129864 8564_ $$s642456$$uhttps://zaguan.unizar.es/record/129864/files/texto_completo.pdf$$yPostprint
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000129864 951__ $$a2024-01-12-14:09:27
000129864 980__ $$aARTICLE