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Self-similarity in diffraction by a self-similar fractal screen

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2 Author(s)
Lakhtakia, A. ; Pennsylvania State Univ., University Park, PA, USA ; Varadan, V.

Using the Sierpinski gasket as an example, it has been shown here that the paraxial Fraunhoffer-zone diffracted field of a self-similar fractal screen also exhibits self-similarity. This also establishes that fractal structures can be used with great profit in problems involving array syntheses. Recently, it has been shown that the Sierpinski gasket is itself a member of a much wider class of gaskets, and the potential for the use of fractal structures in electromagnetic (EM) problems may be vast indeed.

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Antennas and Propagation, IEEE Transactions on  (Volume:35 ,  Issue: 2 )