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Bachelor's Thesis
Author of thesis: Tomáš Adame
Acad. year: 2025/2026
Supervisor: Mgr. Jakub Bělín, Ph.D.
Reviewer: doc. Mgr. Vlastimil Křápek, Ph.D.
This bachelor thesis focuses on the theoretical modeling and experimental verification of the fractional Talbot effect on two-axis gratings. The main objective was to develop two computational programs in Python: an analytical model using Gauss sums and a numerical model based on the Angular Spectrum Method (ASM). The accuracy of both algorithms was verified by a direct comparison of the simulated data with real diffraction patterns from a CCD camera at various phase distances. The results at the unit cell microstructure level demonstrated high spatial and geometric correlation between theory and experiment. Minor variations in contrast were attributed to the physical limitations of the setup, particularly the Gaussian profile of the laser beam. The developed software is fully functional and ready for predicting complex diffraction fields.
fractional Talbot effect, diffraction grating, Angular Spectrum Method (ASM), Gauss sums, Python, CCD camera.
Date of defence
17.06.2026
Result of the defence
Defended (thesis was successfully defended)
Grading
C
Process of defence
Po otázkách oponenta bylo dále diskutováno: - Talbotovy vzdálenosti - Talbotova interference - elektronový transport simulovaný světlem za pomoci Talbotova jevu Student na otázky odpověděl. Hodnocení zohledňuje samotnou prezentaci práce i s přihlédnutím k posudkům vedoucího a oponenta
Language of thesis
Slovak
Faculty
Fakulta strojního inženýrství
Department
Institute of Physical Engineering
Study programme
Physical Engineering and Nanotechnology (B-FIN-P)
Composition of Committee
prof. Ing. Miroslav Kolíbal, Ph.D. (předseda) prof. RNDr. Tomáš Šikola, CSc. (místopředseda) prof. RNDr. Jiří Spousta, Ph.D. (člen) prof. RNDr. Petr Dub, CSc. (člen) prof. Ing. Jan Čechal, Ph.D. (člen) prof. Mgr. Miroslav Černý, Ph.D. (člen) doc. Mgr. Vlastimil Křápek, Ph.D. (člen) doc. Ing. Stanislav Průša, Ph.D. (člen) doc. Ing. Miroslav Bartošík, Ph.D. (člen) doc. Ing. Radek Kalousek, Ph.D. (člen) doc. Ing. Jakub Zlámal, Ph.D. (člen) prof. RNDr. Radim Chmelík, Ph.D. (člen)
Supervisor’s reportMgr. Jakub Bělín, Ph.D.
Grade proposed by supervisor: C
Reviewer’s reportdoc. Mgr. Vlastimil Křápek, Ph.D.
Grade proposed by reviewer: C
Responsibility: Mgr. et Mgr. Hana Odstrčilová