Wave interactions with generalized Cantor bar fractal multilayers
- 1 September 1991
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 70 (5) , 2500-2507
- https://doi.org/10.1063/1.349407
Abstract
The reflection and transmission properties of finely divided fractal layers are investigated and characterized. The results for electromagnetic or optical waves normally incident upon generalized Cantor bar fractal multilayers are found for various fractal dimensions and stages of growth. A new exact self-similar algorithm is described which makes use of the self-similarity of the structures to clearly display the underlying physics. This fractal computational scheme provides the reflection and transmission coefficients for fractally distributed layers with extreme economy when compared to traditional approaches. Finally, a method for extracting fractal descriptors from scattered data is discussed. High- and low- frequency regimes are examined.This publication has 12 references indexed in Scilit:
- Reflection from fractal multilayersOptics Letters, 1990
- Fractal surface scattering: A generalized Rayleigh solutionJournal of Applied Physics, 1990
- Wave scattering from non-random fractal surfacesOptics Communications, 1990
- Wave Transmission through a One-Dimensional Cantor-Like Fractal MediumEurophysics Letters, 1990
- Scattering from fractally corrugated surfacesJournal of the Optical Society of America A, 1990
- Scattering from bandlimited fractal fibersIEEE Transactions on Antennas and Propagation, 1989
- Optical beam propagation in a band-limited fractal mediumJournal of the Optical Society of America A, 1988
- Optical properties of aggregate clustersPhysical Review B, 1988
- Localization of optics: Quasiperiodic mediaPhysical Review Letters, 1987
- Diffraction by band-limited fractal screensJournal of the Optical Society of America A, 1987