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Proceedings Paper

Talbot-carpets of periodic and quasi-periodic close-packed 2D mask structures calculated by a modified chirp-z-algorithm
Author(s): Jacqueline Maass; Oliver Sandfuchs; Alexandre Gatto; Daniel Thomae; Robert Brunner
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Paper Abstract

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.

Paper Details

Date Published: 8 May 2012
PDF: 9 pages
Proc. SPIE 8428, Micro-Optics 2012, 84281L (8 May 2012); doi: 10.1117/12.922217
Show Author Affiliations
Jacqueline Maass, Carl Zeiss Jena GmbH (Germany)
Oliver Sandfuchs, Univ. of Applied Sciences Hamm-Lippstadt (Germany)
Alexandre Gatto, Carl Zeiss Jena GmbH (Germany)
Daniel Thomae, Univ. of Applied Sciences, Jena (Germany)
Robert Brunner, Univ. of Applied Sciences, Jena (Germany)


Published in SPIE Proceedings Vol. 8428:
Micro-Optics 2012
Hugo Thienpont; Jürgen Mohr; Hans Zappe; Hirochika Nakajima, Editor(s)

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