Sound-scattering properties of Sierpinski triangle fractal structures in the near field

Lingge Tan, Jieun Yang, Jian Kang, Hongpeng Xu*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


This paper proposes a new design of an acoustic diffuser based on the construction rules of the Sierpinski triangle in order to broaden the effective diffusion frequency range. The diffuser is made of triangular blocks of different sizes attached to a plane surface. The effects of the number of fractal iterations, the height of triangular blocks, and arrangements of the blocks on the normal-incidence diffusion coefficients in the near field are examined through numerical simulations based on the boundary element method (BEM) in the frequency range of 100 Hz – 5 kHz. Furthermore, measurement results will be presented to validate the diffusion performance presented by the numerical simulations. The diffusion performance of a conventional quadratic residue diffuser (QRD) is compared to confirm the advantage of the designed diffuser for broadening the effective frequency range. It shows that the fractal patterns with various sizes of blocks improve diffusion performance compared to the conventional QRD of the same size, especially in the mid-low frequency range below 1 kHz.
Original languageEnglish
Article number108892
JournalApplied Acoustics
Publication statusPublished - 2022
Externally publishedYes


This research was funded by the China Scholarship Council (No.201906120322), the National Natural Science Foundation of China (No.51778187), and the Ministry of Science and Technology of China (No.G2021179030L).


  • Acoustic diffuser
  • Diffusion coefficient
  • Sierpinski triangle


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