The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive answer is given, and it is shown that all that one has to assume is that the resonator chamber is bounded and that its boundary is \({{\mathcal {C}}}^2\). The proof is constructive, providing a universal algorithm which only needs to access the values of the characteristic function of the chamber at any requested point.

中文翻译：

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用贝壳计算海的声音

解决了是否存在计算任何亥姆霍兹谐振器的谐振的近似程序的问题，而不管其特定形状如何。给出了肯定的答案，并且表明所有必须假设的是谐振腔是有界的，并且它的边界是\({{\mathcal {C}}}^2\)。该证明是建设性的，提供了一种通用算法，该算法只需要在任何请求点访问腔室特征函数的值。