SELF-SIMILARITY IN DIFFRACTION BY A SELF-SIMILAR FRACTAL SCREEN.

Akhlesh Lakhtakia; Neal S. Holter; Vijay K. Varadan; Vasundara V. Varadan

doi:10.1109/tap.1987.1144058

SELF-SIMILARITY IN DIFFRACTION BY A SELF-SIMILAR FRACTAL SCREEN.

Akhlesh Lakhtakia
, Neal S. Holter
, Vijay K. Varadan
, Vasundara V. Varadan

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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. This accords with recent results showing 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.

Original language	English (US)
Pages (from-to)	236-239
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	AP-35
Issue number	2
DOIs	https://doi.org/10.1109/tap.1987.1144058
State	Published - 1987

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/tap.1987.1144058

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abstract = "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. This accords with recent results showing 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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AU - Lakhtakia, Akhlesh

AU - Holter, Neal S.

AU - Varadan, Vijay K.

AU - Varadan, Vasundara V.

PY - 1987

Y1 - 1987

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AB - 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. This accords with recent results showing 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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EP - 239

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 2

ER -

SELF-SIMILARITY IN DIFFRACTION BY A SELF-SIMILAR FRACTAL SCREEN.

Abstract

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