Dr James Christian J.Christian@salford.ac.uk
Lecturer
Diffraction of Weierstrass scalar fractal waves by circular apertures : symmetry and patterns, complexity and dimension
Christian, JM; Woodroofe, EP; McDonald, GS
Authors
EP Woodroofe
Dr Graham McDonald G.S.McDonald@salford.ac.uk
Associate Professor/Reader
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.
Citation
Christian, J., Woodroofe, E., & McDonald, G. (2015, July). Diffraction of Weierstrass scalar fractal waves by circular apertures : symmetry and patterns, complexity and dimension. Presented at 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany
Presentation Conference Type | Other |
---|---|
Conference Name | 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation |
Conference Location | Karlsruhe, Germany |
Start Date | Jul 20, 2015 |
End Date | Jul 24, 2015 |
Acceptance Date | Apr 1, 2015 |
Publication Date | Jul 1, 2015 |
Deposit Date | Jul 7, 2015 |
Publicly Available Date | Apr 5, 2016 |
Related Public URLs | http://waves2015.math.kit.edu/ |
Additional Information | Event Type : Conference |
Files
JMChristian_WAVES2015_FRACTAL_DIFFRACTION.pdf
(741 Kb)
PDF
You might also like
Julia sets in relaxed Schröder and Newton-Raphson maps: periodic points, escape points, symmetry-breaking
(2024)
Presentation / Conference
Extensible-pendulum and double-pendulum problems: damping & periodic forcing, chaos & fractals
(2024)
Presentation / Conference
Dynamics and chaos in extensible pendulum systems
(2024)
Presentation / Conference
The Newton-Raphson fractal
(2023)
Other
Downloadable Citations
About USIR
Administrator e-mail: library-research@salford.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search