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Infinite Waveguide Termination by Series Solution in Finite Element Analysis

The acoustics of an audio system may comprise of several components, e.g., a compression driver producing plane waves, a transition connecting to the throat of a horn, and a cylindrical horn which is baffled at the mouth. While finite elements/boundary elements can model the entire system, it is advantageous from the design perspective to consider simplified systems. A compression driver might be used in many situations and should be designed radiating plane waves, without cross modes, into a semi-infinite tube. The pressure field in the tube can be represented by a series that is coupled to the finite element mesh by a DtN approach. The method is generalized to cater for ducts of arbitrary cross section and infinite cylindrical horns.

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