Diffraction of Weierstrass scalar fractal waves by circular apertures : symmetry and patterns, complexity and dimension

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, Woodroofe, EP and McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 2015, Diffraction of Weierstrass scalar fractal waves by circular apertures : symmetry and patterns, complexity and dimension , in: 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation, 20 - 24 July 2015, Karlsruhe, Germany.

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Abstract

The diffraction of plane waves from simple hard-edged apertures constitutes a class of boundary value problem that is well understood in optics, at least within the scalar approximation. Similarly, the diffraction of such waves from fractal apertures (amplitude or phase masks possessing structure across decades of spatial scale) has also received much attention in the literature. But the diffraction of fractal waves by simple apertures constitutes an entirely new paradigm (in optics particularly, and wave physics more generally) that remains largely unexplored. Here, we consider the diffraction of fractal waves by a hard-edged circular aperture using a range of analytical and semi-analytical methods. Fast computational techniques are used to obtain Fresnel (near field) diffraction patterns, and specialist software assists with the investigation of their properties. Key issues to be addressed include the fractal dimension of diffraction patterns, and the asymptotic emergence of Fraunhofer (far field) predictions in an appropriate limit.

Item Type:	Conference or Workshop Item (Paper)
Themes:	Energy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Refereed:	Yes
Related URLs:	Organisation
Funders:	University of Salford
Depositing User:	JM Christian
Date Deposited:	07 Jul 2015 14:55
Last Modified:	15 Feb 2022 19:30
URI:	https://usir.salford.ac.uk/id/eprint/35368

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