8 May 2012 Talbot-carpets of periodic and quasi-periodic close-packed 2D mask structures calculated by a modified chirp-z-algorithm
Author Affiliations +
In this contribution we simulate theoretically the resulting 3D Talbot-carpets of different initial close-packed 2D mask structures. Especially, we investigate the transition from regular periodic to quasi-periodic tessellations. For the pure periodic mask structure a hexagonally tessellation was selected. The calculated field distribution adjacent to the mask still shows a lateral six-fold symmetry but also a rather complex characteristics in the propagation direction. In particular, the appearance and the repetition of self-imaging planes deviate significantly from the classical Talbot-effect. For the quasi-periodic tessellation a Penrose tapestry based on rhombus pairs was chosen. A pronounced lateral fivefold symmetry becomes visible in the field distribution. In the propagation direction dominant planes with increased intensity are observed clearly, but, instead of a simple periodicity, a complex behavior becomes obvious. The numerical algorithm used in our simulations is based on a modified angular spectrum method, in which Bluestein's fast Fourier (FFT) algorithm is applied. This approach allows to decouple the sampling points in the real space and in the spatial frequency domain so that both parameter can be chosen independently. The introduced fast and flexible algorithm requires a minimized number of numerical steps and a minimal computation time, but still offers high accuracy.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jacqueline Maass, Jacqueline Maass, Oliver Sandfuchs, Oliver Sandfuchs, Alexandre Gatto, Alexandre Gatto, Daniel Thomae, Daniel Thomae, Robert Brunner, Robert Brunner, } "Talbot-carpets of periodic and quasi-periodic close-packed 2D mask structures calculated by a modified chirp-z-algorithm", Proc. SPIE 8428, Micro-Optics 2012, 84281L (8 May 2012); doi: 10.1117/12.922217; https://doi.org/10.1117/12.922217


Study of recent CFD based scheme for analyzing 3D mask...
Proceedings of SPIE (April 11 2013)
Focusing properties of fractal phase-type zone plates
Proceedings of SPIE (November 17 2010)
Self-restoration limits for an optical vortex
Proceedings of SPIE (May 29 2001)
Chain-like beams with phase singularity
Proceedings of SPIE (November 02 2011)

Back to Top