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Multimodal-based shape optimization of rectangular horns for improved radiation efficiency and directivity control.

Shenyuan Gu1, Yue You1, Yong Shen1

  • 1Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China.

The Journal of the Acoustical Society of America
|September 10, 2025
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Summary
This summary is machine-generated.

This study introduces an optimization method for designing rectangular horns, improving audio efficiency and directivity. The approach enables precise horn shape design based on performance requirements, offering an alternative to traditional methods.

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Area of Science:

  • Acoustics and Audio Engineering
  • Computational Electromagnetics

Background:

  • Rectangular horns are essential in professional audio but traditional design methods are empirical and time-consuming.
  • Achieving desired radiation efficiency and directivity simultaneously is a significant design challenge.

Purpose of the Study:

  • To develop a multimodal-based optimization approach for designing rectangular horns.
  • To simultaneously enhance radiation efficiency and directivity control over a wide frequency range.
  • To enable direct horn shape design based on specific performance requirements.

Main Methods:

  • A discrete model is used to simulate acoustical properties.
  • An objective function is constructed to measure radiation efficiency, penalize jagged shapes, and improve directivity control.
  • A gradient-based algorithm with algebraically derived gradients solves the optimization problem.

Main Results:

  • The optimization method effectively improves radiation efficiency and directivity control.
  • Numerical studies validate the method and analyze the impact of objective function terms.
  • A horn with high radiation efficiency, constant directivity, and tailored coverage was designed.

Conclusions:

  • The proposed multimodal optimization approach offers an effective alternative to conventional horn design.
  • This method allows for direct horn shape design tailored to specific audio performance needs.
  • The approach facilitates the creation of horns with improved efficiency and precise directivity control.