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Optimizing the Shape of a Horn

Application ID: 4353

A plane-wave mode feeds an axisymmetric horn radiating from an infinite baffle towards an open half space. The radius of the feeding waveguide is assumed to be fixed, as well as the depth of the horn and the size of the hole where the horn is attached to the baffle. By varying the curvature of the initially conical surface of the horn, its directivity and impedance can be changed.

This model shows how to apply boundary shape optimization to an axisymmetric horn. For the sake of simplicity, the far-field sound pressure level is maximized for a single frequency and in a single direction. The focus is on the optimization procedure, which involves parametrization of the geometry, choice of objective function and optimization solver settings.

The results from this analysis shows that by changing the shape of the horn within the limits of the selected parametrization, the on-axis sound pressure level can be raised by about 1 dB compared to the simple cone. The optimal shape with respect to on-axis SPL however leads to deep undesirable minima in other directions.

This application was built using the following:

Acoustics Module

The combination of COMSOL® products required to model your application depends on the physics interfaces that define it. Particular physics interfaces may be common to several products (see the Specification Chart for more details). To determine the right combination of products for your project, you should evaluate all of your needs in light of each product's capabilities, consultation with the COMSOL Sales and Support teams, and the use of an evaluation license.