Isogeometric shape optimization has been receiving great attention due to its advantages of exact geometry representation and smooth representation of the boundaries. In the present study, the optimum shape of a horn speaker was found to minimize the back reflection and improve impedance matching. The acoustic field was estimated by isogeometric analysis (IGA). Horn reflections are sensitive to the boundary shape and the smooth and non-faceted boundary representation in IGA makes it an attractive platform for shape optimization of acoustic devices. Teaching-Learning-Based Optimization (TLBO) algorithm was used to minimize, the reflection coefficient R, by changing the shape of the horn. The NURBS control points defining the design boundary of the horn were selected as the optimization design variables. Both single and multi-frequency optimization were performed. The objective function values found were considerably lower than those reported in the literature. The three-frequency shape optimization was performed successfully for which no results were reported in the literature due to the convergence issues. From the results, it was shown that the proposed method outperforms previous studies by finding the best shape for the horn that results in minimizing the reflection and produce improved reflection spectra.

等几何形状优化由于其精确的几何表示和边界的平滑表示的优势而备受关注。在本研究中，发现喇叭扬声器的最佳形状可以最大程度地减少背反射并改善阻抗匹配。通过等几何分析（IGA）估计声场。喇叭反射对边界形状很敏感，IGA中平滑且无面的边界表示使其成为声学设备形状优化的理想平台。基于教学的学习优化（TLBO）算法用于通过更改喇叭的形状来最小化反射系数R。选择定义号筒设计边界的NURBS控制点作为优化设计变量。进行了单频和多频优化。发现的目标函数值大大低于文献报道的目标函数值。由于收敛问题，成功进行了三频形状优化，但在文献中未报告任何结果。从结果可以看出，所提出的方法通过为号角找到最佳形状，从而使反射最小化并产生改进的反射光谱，从而优于以前的研究。