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thadman
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A Method of Loudspeaker Directivity Prediction Based on Huygens-Fresnel Principle said:According to the Huygens-Fresnel principle, the wave emanated by some source can be considered a group of point sources, located on the primary wavefront surface and radiating secondary spherical wavelets
For a calculation of a complex pressure outside of the radiating device, it is necessary to know complex pressure in the exit aperture.
http://www.aes.org/tmpFiles/elib/20091022/12398.pdf
A ribbon loudspeaker consists of a rectangular element of aluminum foil suspended within a magnetic gap and clamped at its ends (ie a clamped-clamped beam). Current is applied to the foil, which produces an electromagnetic field that interacts with the magnetic field generated by the permanent magnets. The foil bends in response to this force.
For compression and dynamic cone drivers, they might be approximated as pistons below their fundamental mode. We might assume uniform velocity over the surface of the piston, however we can not make such assumptions with regards to ribbon loudspeakers. Their surface does not move with uniform velocity (maximum at center, 0 at boundaries).
How can we calculate the complex pressure in the exit aperture for a ribbon loudspeaker located in a rectangular duct?
I would be very appreciative if you are able to contribute any knowledge or information (journal articles, texts, etc) regarding this phenomenon.
Thanks,
Thadman