Fractal Electrodynamics: From Super Antennas to Superlattices

We provide a selected overview of fractal electrodynamics by examining the properties of fractal antennas, arrays and apertures; and investigating the nature of electromagnetic wave scattering from fractal surfaces and superlattices.

[1]  A. D. Jaggard,et al.  Polyadic Cantor superlattices with variable lacunarity. , 1997, Optics letters.

[2]  S. Sinha.  Scattering from fractal structures , 1989 .

[3]  Jordi Romeu,et al.  Fractal multiband antenna based on the Sierpinski gasket , 1996 .

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

[5]  Allain,et al.  Spatial spectrum of a general family of self-similar arrays. , 1987, Physical review. A, General physics.

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

[7]  E. Jakeman.  Fraunhofer Scattering by a Sub-fractal Diffuser , 1983 .

[8]  Aharony,et al.  Gap Independence and Lacunarity in Percolation Clusters. , 1996, Physical review letters.

[9]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

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

[11]  B. Hennion,et al.  Phason softening in the AlPdMn icosahedral phase , 1996 .

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

[13]  E. Jakeman.  Fresnel scattering by a corrugated random surface with fractal slope , 1982 .

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

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

[16]  Luciano Pietronero,et al.  FRACTALS IN PHYSICS , 1990 .

[17]  Alessandro Vespignani,et al.  Crosscut Analysis of Large Radial DLA: Departures from Self-Similarity and Lacunarity Effects , 1995 .

[18]  Bale,et al.  Integrated fractal analysis of silica: Adsorption, electronic energy transfer, and small-angle x-ray scattering. , 1986, Physical review letters.

[19]  P. L. Werner,et al.  Frequency‐independent features of self‐similar fractal antennas , 1996 .

[20]  J. Rarity,et al.  Light-scattering studies of aggregation , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[21]  K. Hizanidis,et al.  Scattering from fractally corrugated surfaces: an exact approach. , 1995, Optics letters.

[22]  Dale W. Schaefer,et al.  Fractal geometry of colloidal aggregates , 1984 .

[23]  Dwight L. Jaggard,et al.  FRACTAL SURFACE SCATTERING : A GENERALIZED RAYLEIGH SOLUTION , 1990 .

[24]  L. Felsen,et al.  Directions in Electromagnetic Wave Modeling , 1991 .

[25]  Dwight L. Jaggard,et al.  Scattering from fractally corrugated surfaces with use of the extended boundary condition method , 1997 .

[26]  J. Rarity,et al.  Light Scattering from Aggregating Systems: Static, Dynamic (QELS) and Number Fluctuations , 1986 .

[27]  J. Teixeira,et al.  Experimental Methods for Studying Fractal Aggregates , 1986 .

[28]  Vijay K. Varadan,et al.  Time-harmonic and time-dependent radiation by bifractal dipole arrays , 1987 .

[29]  T. Asakura,et al.  Fraunhofer diffraction by Koch fractals : the dimensionality , 1991 .

[30]  I. Yurkevich,et al.  Wave Transmission through a One-Dimensional Cantor-Like Fractal Medium , 1990 .

[31]  Benoit B. Mandelbrot,et al.  A Fractal’s Lacunarity, and how it can be Tuned and Measured , 1994 .

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

[33]  Brian H. Kaye,et al.  Fractal Description of the Structure of Fresh and Eroded Aluminum shot fineparticles , 1985 .

[34]  H. Stanley,et al.  On growth and form : fractal and non-fractal patterns in physics , 1986 .

[35]  Eric Jakeman,et al.  SCATTERING BY FRACTALS , 1986 .

[36]  D. A. Fabio,et al.  Lacunarity calculation in the true fractal limit , 1994 .

[37]  A. D. Jaggard,et al.  SCATTERING FROM FRACTAL SUPERLATTICES WITH VARIABLE LACUNARITY , 1998 .

[38]  Jun Uozumi,et al.  Fraunhofer Diffraction by Koch Fractals , 1990 .

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

[40]  R. Voss.  Random Fractals: characterization and measurement , 1991 .

[41]  R. Jullien,et al.  Fourier transform and theory of fractal multilayer mirrors , 1991 .

[42]  N. S. Holter,et al.  On the spatial Fourier transforms of the Pascal-Sierpinski gaskets , 1986 .

[43]  Patrick E. McSharry,et al.  Wave scattering by a two‐dimensional band‐limited fractal surface based on a perturbation of the Green’s function , 1995 .

[44]  S. Schelkunoff.  A mathematical theory of linear arrays , 1943 .

[45]  Paul Meakin,et al.  Universality of fractal aggregates as probed by light scattering , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[46]  Jordi Romeu,et al.  Perturbation of the Sierpinski antenna to allocate operating bands , 1996 .

[47]  E. Weibel,et al.  Fractals in Biology and Medicine , 1994 .

[48]  P. L. Werner,et al.  On the synthesis of fractal radiation patterns , 1995 .

[49]  H. N. Kritikos,et al.  Recent Advances in Electromagnetic Theory , 2011 .

[50]  Dwight L. Jaggard,et al.  Fractal Electrodynamics and Modeling , 1991 .

[51]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[52]  Dwight L. Jaggard,et al.  On Fractal Electrodynamics , 1990 .

[53]  D Stauffer,et al.  Antipodal correlations and the texture (fractal lacunarity) in critical percolation clusters , 1994 .

[54]  D. Tildesley,et al.  Fractals in the Natural Sciences , 1990 .

[55]  R. Pous,et al.  Fractal design of multiband and low side-lobe arrays , 1996 .

[56]  Schmidt,et al.  Calculation of the small-angle x-ray and neutron scattering from nonrandom (regular) fractals. , 1986, Physical review. A, General physics.

[57]  Dwight L. Jaggard,et al.  Triadic Cantor target diffraction , 1992 .

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

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

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