This is an exclusively private non-commercial blog about spherical horns.

BEM Simulation for a Freestanding Horn

After I had finished my first horn profiles as 3D models, the question arose whether it is possible to perform a proof of concept by simulation. Doing some research on the web, I soon discovered the simulation software ABEC3 (http://www.randteam.de/ABEC3/Index.html). Fortunately, by a lucky coincidence, I was able to make two contacts through a DIY forum, which were far ahead of me in this area and have supported me with discussions and simulations. In particular, I would like to thank Don for his tireless support in creating and visualizing the respective ABEC3 scripts for the further development of respective horn profiles. Without Don’s involvement in my projects and the encouraging results, I would hardly have pushed the programming and, of course, the creation of this website with this commitment. I was able to motivate Don to summarize his findings in a few articles and I am pleased to present them in this context.

In particular, I would also like to thank Joerg Panzer, who has provided us with free non-commercial ABEC3 licenses. Thus, it was possible that we could easily exchange the results and work much more efficiently.

The challenge was from the beginning that the horn profiles should work especially as free-standing horns. This requires the simulation of specific measures and configurations. Don wrote an article that I would like to publish here.

The BEM simulations shown in this article took several hours to solve on our workstations which are on a quite actual performance level. It should be mentioned that especially the high frequency part beyond 10 kHz is a special challenge and the results still show some artifacts which are clearly related to the underlying model.

Meshing Point Clouds for DrBA Horns

In this article I will present a step-by-step guide transforming the point cloud exported from my spread sheet calculator into a 3D triangular mesh. Although my first implementation of a simple 3D visualization was done within Excel, I started looking for a tool that can convert point clouds into 3D printable files. After a first euphoria, however, I quickly realized that an existing and properly looking stl- or ply-file does not necessarily mean that you can print it that way directly. But that’s another story.

A True Expansion Tractrix Horn

During my research about the spherical wave horn I also played around with the tractrix profile. While investigating the wave font expansion of the spherical wave horn I came up with the idea to investigate the same expansion for the tractrix horn and how far the surface area of the propagating  wave front follows the exponential expansion coefficient m:
\tag{1}m = \dfrac{4\pi \cdot f_c}{c_s}
\tag{2}S_{exp}(x) = S_0 \cdot e^{m \cdot x}

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