Impact of Fractal Dimension on Antenna Behavior: Sierpiński Carpet and Koch Snowflake Designs

Abstract This paper presents a comparative study of two fractal antennas—the Sierpi\'{n}ski Carpet and Koch Snowflake-designed with identical dimensions and operating at 2.3~GHz. Although similar in size, their different fractal geometries lead to distinct electromagnetic behaviors. Key performance metrics such as input impedance, reflection coefficient, and radiation patterns are analyzed.

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Publication Details

Journal
Research Square
Published
2026-10-29
DOI
https://doi.org/10.21203/rs.3.rs-10932477/v1
Primary Topic
Antenna Design and Analysis
Type
preprint
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preprint

Impact of Fractal Dimension on Antenna Behavior: Sierpiński Carpet and Koch Snowflake Designs

Rawid Banchuin, Hamdullah Şevli̇, Alireza Khalili Golmankhaneh, Diana T. Pham
Research Square
Antenna Design and Analysis
preprint

Impact of Fractal Dimension on Antenna Behavior: Sierpiński Carpet and Koch Snowflake Designs

Rawid Banchuin, Hamdullah Şevli̇, Alireza Khalili Golmankhaneh, Diana T. Pham
preprint en

Abstract

Abstract This paper presents a comparative study of two fractal antennas—the Sierpi\'{n}ski Carpet and Koch Snowflake-designed with identical dimensions and operating at 2.3~GHz. Although similar in size, their different fractal geometries lead to distinct electromagnetic behaviors. Key performance metrics such as input impedance, reflection coefficient, and radiation patterns are analyzed.

Research Square
Siam University (TH), Van Yüzüncü Yıl Üniversitesi (TR), The University of Texas at Arlington (US), Kyrgyz-Türkish Manas Üniversity (KG)
Antenna Design and Analysis
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