Dergiler / International Journal of Innovative Research and Reviews / 2026 / Volume: 9 Issue: 1

Optimization of Two-Dimensional Acoustic Diffuser Surfaces Using Kirchhoff Approximation in MATLAB

Sayfa
—
Yayın Tarihi
2025-07-15
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The findings provide an important basis for surface optimization in acoustic design applications.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This study numerically analyzes the angular reflection performance of two-dimensional acoustic diffuser surfaces using the Kirchhoff approach in MATLAB.
📊
Temel Bulgular & Veri:It is observed that the reflection intensity decreases and the distribution widens with the increase in slope.
💡
Sonuç & Katkı:The findings provide an important basis for surface optimization in acoustic design applications.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Two-dimensional diffuser · Acoustic energy distribution · Matlab

Abstract

This study numerically analyzes the angular reflection performance of two-dimensional acoustic diffuser surfaces using the Kirchhoff approach in MATLAB. In the study, ideal Lambertian and band-limited diffuser types are compared under different incidence angles and surface geometries (slope and recess width). The aim is to reveal the effect of surface design parameters on the angular distribution of sound energy and to contribute to the design of structures that provide homogeneous reflection. The results show that Lambertian surfaces provide ideal reflection only at normal incidence angles; band-limited diffusers can direct the energy in a controlled manner within a certain angle range. It is observed that the reflection intensity decreases and the distribution widens with the increase in slope. This situation reveals the decisive role of surface geometry on acoustic performance. The findings provide an important basis for surface optimization in acoustic design applications.

🔖

Bu Makaleye Atıf Yap

Mustafaoğlu, M., Razmi, A., Mustafaoğlu, E. (2025). Optimization of Two-Dimensional Acoustic Diffuser Surfaces Using Kirchhoff Approximation in MATLAB. International Journal of Innovative Research and Reviews, Volume: 9 Issue: 1. https://ajindex.com/articles/1496392

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. Yu Y, Krynkin A, Horoshenkov KV. The effect of 3D surface roughness on acoustic wave propagation in a cylindrical waveguide. Wave Motion (2024) 128:103304. doi:10.1016/j.wavemoti.2024.103304.
  2. Pignier NJ, O’Reilly CJ, Boij S. A Kirchhoff approximation-based numerical method to compute multiple acoustic scattering of a moving source. Applied Acoustics (2015) 96:108–117. doi:10.1016/j.apacoust.2015.03.016.
  3. Döşemeciler A. A study on number theoretic construction and prediction of two dimensional acoustic diffusers for architectural applications. PhD Thesis. Izmir Institute of Technology. İzmir (2011).
  4. Kleiner M, Svensson P, Dalenbäck B. Auralization of QRD and Other Diffusing Surfaces Using Scale Modelling. Audio Engineering Society Convention (1992).
  5. Cushing CW, Parker SD, Kang J, Venegas GR, Wilson PS, Haberman MR. Affordable and Customizable High-resolution Scanning System for Measurement of Acoustic Fields. The Journal of the Acoustical Society of America (2022) 151(4_Supplement):247-248. doi:10.1121/10.0011214.
  6. Kotopoulis AD, Malamou A, Pouraimis G. Characterization of Rough Fractal Surfaces from Backscattered Radar Data. Elektronika Ir Elektrotechnika (2016) 22(6). doi:10.5755/j01.eie.22.6.17226.
  7. Shi F, Choi W, Lowe MJS, Skelton EA, Craster RV. The validity of Kirchhoff theory for scattering of elastic waves from rough surfaces. Proceedings of the Royal Society a Mathematical Physical and Engineering Sciences (2015) 471(2178):20140977. doi:10.1098/rspa.2014.0977.
  8. Bourlier C. Characteristic Basic Function Method Accelerated by a New Physical Optics Approximation for the Scattering from a Dielectric Object. Progress in Electromagnetics Research B (2023) 103:177–194. doi:10.2528/pierb23041304.
  9. Dehghani M, Ajam H, Farahat S. Automated diffuser shape optimization based on CFD simulations and surrogate modeling. Journal of Applied Fluid Mechanics (2016) 9(5):2527–2535.
  10. Humeida Y, Pinfield VJ, Challis RE, Wilcox PD, Li C. Simulation of ultrasonic array imaging of composite materials with defects. Ieee Transactions on Ultrasonics Ferroelectrics and Frequency Control (2013) 60(9):1935–1948. doi:10.1109/tuffc.2013.2778.
  11. Martin GG. A hybrid model for simulating diffused first reflections in two-dimensional acoustic environments. PhD Thesis. McGill University. Montreal (2001).