Triadic Cantor target diffraction

Electromagnetic wave interactions with a triadic Cantor target are investigated as an example of diffraction by fractal apertures. Of interest is the evolution of diffraction pattern with fractal growth for these self-similar structures, and the development of efficient methods of calculation. It is found that such structures possess self-similar diffraction patterns and that simple analytic solutions can be found for these geometries. The solutions also exhibit a sense of self-similarity in their computation. © 1992 John Wiley & Sons, Inc.

[1]  D. Jaggard,et al.  Wave interactions with generalized Cantor bar fractal multilayers , 1991 .

[2]  D. Jaggard,et al.  Reflection from fractal multilayers. , 1990, Optics letters.

[3]  Dwight L. Jaggard,et al.  Wave scattering from non-random fractal surfaces , 1990 .

[4]  Dwight L. Jaggard,et al.  Scattering from fractally corrugated surfaces , 1990 .

[5]  K. Falconer.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[6]  Madeleine M. Beal,et al.  Features in the optical transforms of serrated apertures and disks , 1989 .

[7]  Lindsay,et al.  Optical properties of aggregate clusters. , 1988, Physical review. B, Condensed matter.

[8]  Dwight L. Jaggard,et al.  Bandlimited fractal model of atmospheric refractivity fluctuation , 1988, Annual Meeting Optical Society of America.

[9]  D. Jaggard,et al.  Diffraction by band-limited fractal screens , 1987 .

[10]  Y. Kim,et al.  The fractal random array , 1986, Proceedings of the IEEE.

[11]  B. Torrésani,et al.  Scattering of an electromagnetic wave by an irregularly shaped object , 1986 .

[12]  B. Torrésani,et al.  Light scattering by particles of arbitrary shape: a fractal approach , 1986 .

[13]  Harold D. Bale,et al.  Small-angle X-ray-scattering investigation of submicroscopic porosity with fractal properties , 1984 .

[14]  D. L. Jordan,et al.  Experimental measurements of non-Gaussian scattering by a fractal diffuser , 1983 .

[15]  E Jakeman,et al.  Scattering by a corrugated random surface with fractal slope , 1982 .

[16]  H. Grebel,et al.  Diffraction by fractally serrated apertures , 1991 .

[17]  C. Allain,et al.  OPTICAL FOURIER TRANSFORMS OF FRACTALS , 1986 .

[18]  G. M. Morris,et al.  Diffraction by serrated apertures , 1980 .