Abstract:
A fractal is a recursively generated object having a fractional dimension. Many objects, including antennas, can be designed using the recursive nature of a fractal. In t...Show MoreMetadata
Abstract:
A fractal is a recursively generated object having a fractional dimension. Many objects, including antennas, can be designed using the recursive nature of a fractal. In this article, we provide a comprehensive overview of recent developments in the field of fractal antenna engineering, with particular emphasis placed on the theory and design of fractal arrays. We introduce some important properties of fractal arrays, including the frequency-independent multi-band characteristics, schemes for realizing low-sidelobe designs, systematic approaches to thinning, and the ability to develop rapid beam-forming algorithms by exploiting the recursive nature of fractals. These arrays have fractional dimensions that are found from the generating subarray used to recursively create the fractal array. Our research is in its infancy, but the results so far are intriguing, and may have future practical applications.
Published in: IEEE Antennas and Propagation Magazine ( Volume: 41, Issue: 5, October 1999)
DOI: 10.1109/74.801513
References is not available for this document.
Select All
1.
B. B. Mandelbrot, The Fractal Geometry of Nature, New York:W. H. Freeman, 1983.
2.
"On Fractal Electrodynamics" in Recent Advances in Electromagnetic Theory, New York:Springer-Verlag, pp. 183-224, 1990.
3.
"Fractal Electrodynamics and Modeling" in Directions in Electromagnetic Wave Modeling, New York:Plenum Publishing Co., pp. 435-446, 1991.
4.
"Fractal Electrodynamics: Wave Interactions With Discretely Self-Similar Structures" in Electromagnetic Symmetry, DC, Washington:Taylor and Francis Publishers, pp. 231-281, 1995.
5.
D. H. Werner, "An Overview of Fractal Electrodynamics Research", Proceedings of the 11th Annual Review of Progress in Applied Computational Electromagnetics (ACES), vol. II, pp. 964-969, 1995-March.
6.
"Fractal Electrodynamics: From Super Antennas to Superlattices" in Fractals in Engineering, New York:Springer-Verlag, pp. 204-221, 1997.
7.
Y. Kim and D. L. Jaggard, "The Fractal Random Array", Proceedings of the IEEE, vol. 74, no. 9, pp. 1278-1280, 1986.
8.
A. Lakhtakia, V. K. Varadan and V. V. Varadan, "Time-harmonic and Time-dependent Radiation by Bifractal Dipole Arrays", Int. J. Electronics, vol. 63, no. 6, pp. 819-824, 1987.
9.
A. Lakhtakia, N. S. Holter and V. K. Varadan, "Self-similarity in Diffraction by a Self-similar Fractal Screen", IEEE Transactions on Antennas and Propagation, vol. AP-35, no. 2, pp. 236-239, February 1987.
10.
C. Allain and M. Cloitre, "Spatial Spectrum of a General Family of Self-similar Arrays", Phys. Rev. A, vol. 36, pp. 5751-5757, 1987.
11.
D. L. Jaggard and A. D. Jaggard, "Fractal Apertures: The Effect of Lacunarity", 1997 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting URSI Abstracts, pp. 728, 1997-July.
12.
M. M. Beal and N. George, "Features in the Optical Transform of Serrated Apertures and Disks", J. Opt. Soc. Am., vol. A6, pp. 1815-1826, 1989.
13.
D. L. Jaggard, T. Spielman and X. Sun, "Fractal Electrodynamics and Diffraction by Cantor Targets", 1991 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting URSI Abstracts, pp. 333, 1991-June.
14.
Y. Kim, H. Grebel and D. L. Jaggard, "Diffraction by Fractally Serrated Apertures", J. Opt. Soc. Am., vol. A8, pp. 20-26, 1991.
15.
T. Spielman and D. L. Jaggard, "Diffraction by Cantor Targets: Theory and Experiments", 1992 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting URSI Abstracts, pp. 225.
16.
D. L. Jaggard and T. Spielman, "Diffraction From Triadic Cantor Targets", Microwave and Optical Technology Letters, vol. 5, pp. 460-466, 1992.
17.
D. L. Jaggard, T. Spielman and M. Dempsey, "Diffraction by Two-Dimensional Cantor Apertures", 1993 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting URSI Abstracts, pp. 314, 1993-June/July.
18.
D. H. Werner and P. L. Werner, "Fractal Radiation Pattern Synthesis", URSI National Radio Science Meeting Abstracts, pp. 66, 1992-January.
19.
D. H. Werner and P. L. Werner, "On the Synthesis of Fractal Radiation Patterns", Radio Science, vol. 30, no. 1, pp. 29-45, 1995.
20.
X. Liang, W. Zhensen and W. Wenbing, "Synthesis of Fractal Patterns From Concentric-Ring Arrays", Electronics Letters (IEE), vol. 32, no. 21, pp. 1940-1941, October 1996.
21.
C. P. Baliarda and R. Pous, "Fractal Design of Multiband and Low Side-lobe Arrays", IEEE Transactions on Antennas and Propagation, vol. AP-44, no. 5, pp. 730-739, May 1996.
22.
D. H. Werner and P. L. Werner, "Frequency-independent Features of Self-similar Fractal Antennas", Radio Science, vol. 31, no. 6, pp. 1331-1343, 1996.
23.
R. L. Haupt and D. H. Werner, "Fast Array Factor Calculations for Fractal Arrays", Proceedings of the 13th Annual Review of Progress in Applied Computational Electromagnetics (ACES), vol. I, pp. 291-296, 1997-March.
24.
D. H. Werner and R. L. Haupt, "Fractal Constructions of Linear and Planar Arrays", 1997 IEEE International Symposium on Antennas and Propagation Digest, vol. 3, pp. 1968-1971, 1997-July.
25.
R. L. Haupt and D. H. Werner, "Fractal Constructions and Decompositions of Linear and Planar Arrays", IEEE Transactions on Antennas and Propagation.
26.
D. L. Jaggard and A. D. Jaggard, "Cantor Ring Arrays", 1998 IEEE International Symposium on Antennas and Propagation Digest, vol. 2, pp. 866-869, 1998-June.
27.
W. L. Stutzman and G. A. Thiele, Antenna Theory and Design, New York:Wiley, 1981.
28.
C. A. Balanis, Antenna Theory: Analysis and Design, New York:Wiley, 1997.
29.
H. O. Peitgen, H. Jurgens and D. Saupe, Chaos and Fractals: New Frontiers of Science, New York:Springer-Verlag, 1992.
30.
M. T. Ma, Theory and Application of Antenna Arrays, New York:Wiley, 1974.