Browsing by Author "Bienert, Florian"
Now showing 1 - 7 of 7
- Results Per Page
- Sort Options
Item Open Access Bending of Lloyd’s mirror to eliminate the period chirp in the fabrication of diffraction gratings(2024) Bienert, Florian; Röcker, Christoph; Graf, Thomas; Abdou Ahmed, MarwanItem Open Access Detrimental effects of period-chirped gratings in pulse compressors(2023) Bienert, Florian; Röcker, Christoph; Dietrich, Tom; Graf, Thomas; Abdou Ahmed, MarwanItem Open Access Experimental analysis on CPA-free thin-disk multipass amplifiers operated in a helium-rich atmosphere(2022) Bienert, Florian; Loescher, André; Röcker, Christoph; Graf, Thomas; Abdou Ahmed, MarwanEs wird der Einfluss von Helium als atmosphärisches Gas in Scheibenlaser-multipass-Ultrakurzpulsverstärkern untersucht.Item Open Access General mathematical model for the period chirp in interference lithography(2023) Bienert, Florian; Graf, Thomas; Abdou Ahmed, MarwanItem Open Access Numerical determination of the substrate’s zero-chirp geometry for the elimination of the period chirp in laser interference lithography(2024) Bienert, Florian; Röcker, Christoph; Graf, Thomas; Abdou Ahmed, MarwanItem Open Access Simple spatially resolved period measurement of chirped pulse compression gratings(2023) Bienert, Florian; Röcker, Christoph; Graf, Thomas; Abdou Ahmed, MarwanItem Open Access Theoretical investigation on the elimination of the period chirp by deliberate substrate deformations(2022) Bienert, Florian; Graf, Thomas; Abdou Ahmed, MarwanWe present a theoretical investigation on the approach of deliberately bending the substrate during the exposure within laser interference lithography to compensate for the period chirp. It is shown that the yet undiscovered function of the surface geometry, necessary to achieve the zero-chirp case (i.e. having a perfectly constant period over the whole substrate) is determined by a first-order differential equation. As the direct analytical solution of this differential equation is difficult, a numerical approach is developed, based on the optimization of pre-defined functions towards the unknown analytical solution of the differential equation by means of a Nelder-Mead simplex algorithm. By applying this method to a concrete example, we show that an off-center placement of the substrate with respect to the point sources is advantageous both in terms of achievable period and substrate curvature and that a fourth-order polynomial can greatly satisfy the differential equation leading to a root-mean-square deviation of only 1.4 pm with respect to the targeted period of 610 nm.