Tag Archives: Newton method

JMLC Inspired Horn Calculator

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I find it difficult to formulate the appropriate introductory words for a person like Jean-Michel Le Cléac’h (JMLC). Unfortunately, I didn’t have the opportunity to discuss my work with him, although theoretically it would have been possible but my interest in horns arose just a few years ago. I would have been honoured to have received feedback on my work from Jean-Michel.

Recently, I realized what meaning as human being Jean-Michel Le Cléac’h must have had for other people when I recognized that Bjørn Kolbrek and Thomas Dunker dedicated their excellent book about “High-Quality Horn Loudspeakers Systems” to him.

Here are two links to diyaudio.com for those who are not so familiar with his work and his life: Link1, Link2.

Interestingly, JMLC emphasized that we should understand his work on horns more as a method to calculate horn profiles than rather a new expansion. This is exactly how I understand it and this post will describe my implementation of JMLC’s method.

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Ellipsoidal Wave Fronts in Horns

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As you might already guess by the name of this website, the spherical wave horn inspired my work a lot. If we assume expanding spherical wave fronts in round horns and want to stretch the round profile to an ellipse then we must inevitably think about ellipsoidal surface areas and of course the associated mathematics. My own learning phase was not easy either, until I found myself able to mathematically master the challenge. I will describe the results of my work in this post and try to give as many details as possible and describe as much math as necessary. The whole stuff is quite complicated and therefore we will simply start with the two-dimensional part and then gradually come to the ellipsoidal surfaces.
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