Fresnel diffraction and fractal patterns from polygonal apertures.
Two compact analytical descriptions of Fresnel diffraction patterns from polygonal apertures under uniform illumination are detailed. In particular, a simple expression for the diffracted field from constituent edges is derived. These results have fundamental importance as well as specific applications, and they promise new physical insights into diffraction-related phenomena. The usefulness of the formulations is illuminated in the context of a virtual source theory that accounts for two transverse dimensions. This application permits calculation of fractal unstable-resonator modes of arbitrary order and unprecedented accuracy.
Huang
J G
JG
Joule Physics Laboratory, Institute for Materials Research, School of Computing, Science and Engineering, University of Salford, Salford M5 4WT, UK.
Christian
J M
JM
McDonald
G S
GS