This started as a conventional 2-way with a 10'' woofer and compression driver as tweeter (similar to Genelec S360 or certain JBL speakers), but along the way I stumbled my way into some interesting ideas. As such I thought I would share some design details before the project is finished. Anyone who has read the ATH4 thread over at DIYaudio (https://www.diyaudio.com/community/threads/acoustic-horn-design-the-easy-way-ath4.338806/) will know that well-designed freestanding waveguides offer unparalleled smoothness and directivity. While I don't use ATH4 myself, I am an avid follower of that thread, and do use AKABAK extensively for my designs. The drivers chosen are the BMS 5530ND, and the PHL 3411.
The concept: a loudspeaker in which the waveguide is a freestanding one, such that it can easily be swapped between a constant directivity and linear directivity one. By using something like a hypex plate amplifier, it'd be possible to store 3 different presets:
1. Constant directivity, with flat on-axis response
2. Linearly increasing directivity, with flat on-axis response
3. Constant directivity, with downsloping on-axis response
Furthermore, I've been considering making the cabinet for the woofer adjustable between a typical vented enclosure and a resistance enclosure. Running some simulations indicates that it should be possible, but it doesn't seem quite ideal (it appears the volume required for bass reflex is not ideal for a cardioid and vice versa), so let's shelve that idea for the time being. In any case, this speaker would easily allow one to test the sound of different design paradigms. It's worth noting that this is still a relatively small speaker, and as such the directivity control measures are only really effective in the ~1-20kHz range. Making it larger would enable directivity control lower in frequency.
Enough talk about ideas, let's talk simulations!
Firstly, the compression driver chosen is the BMS 5530ND. Chosen for its great performance at both high and low frequencies. It behaves much better at low frequencies than most 1'' exit compression drivers, and this is a benefit when we want to squeeze as much range as possible out of our compression drivers. Additionally, it has a very small phase plug exit, and as such it is possible to remove the bugscreen in front of the driver and place a throat piece specifically adapted to the horn into the conical exit of the driver. This allows finer control of the horn's expansion (and thus directivity and loading). The exit of the BMS' phase plug is roughly 16mm, that's roughly 0.63'' for you Americans, and means that constant directivity up to 20kHz is achievable.
Note that for the data I am going to present, all normalized graphs will be normalized to 10 degrees off-axis, as there are (very slight) interference effects directly on-axis (in the range of 0.5-1dB or so). The design axis for these designs will therefore be very slightly off-axis.
Constant directivity waveguide (black line in second graph is power response):
Linear directivity waveguide (black line in second graph is power response):
Both waveguides are somewhat narrow, and this is by design. The constant directivity waveguide would work well for a large variety of seating positions, while this is less true of the linear directivity one. Nonetheless I've tried to keep a roughly +-15 degree angle where the sound is pretty much the same, so that the listener doesn't change the sound simply by moving his or her head. The following are simulations of each of these waveguides combined with a 10'' woofer (also simulated in AKABAK), with what I believe are achievable crossovers. Note that the spins are *not* normalized to 10 degrees off-axis like the above graphs, as the ER and SP are referenced to the listening window, which effectively takes care of any aberrations.
Constant directivity waveguide (crossover 1075Hz):
Linear directivity waveguide (crossover 800Hz):
I have already 3D printed the constant directivity waveguide and measured it, while the directivity is as predicted, it unfortunately seems the the BMS 5530ND is very sensitive the the acoustic load it is presented with (in this case the acoustic impedance of the horn). I won't go into detail about it here, but it means that it is very hard to run this waveguide much further down than roughly 1.1kHz on this waveguide. The linear directivity waveguide can more easily be designed to provide good acoustic loading, and it is therefore assumed that an 800Hz crossover should be possible. I am currently 3D printing this waveguide, and eager to see the results.
Finally, just to give an idea of what the waveguides look like (first constant directivity, second linear directivity):
The concept: a loudspeaker in which the waveguide is a freestanding one, such that it can easily be swapped between a constant directivity and linear directivity one. By using something like a hypex plate amplifier, it'd be possible to store 3 different presets:
1. Constant directivity, with flat on-axis response
2. Linearly increasing directivity, with flat on-axis response
3. Constant directivity, with downsloping on-axis response
Furthermore, I've been considering making the cabinet for the woofer adjustable between a typical vented enclosure and a resistance enclosure. Running some simulations indicates that it should be possible, but it doesn't seem quite ideal (it appears the volume required for bass reflex is not ideal for a cardioid and vice versa), so let's shelve that idea for the time being. In any case, this speaker would easily allow one to test the sound of different design paradigms. It's worth noting that this is still a relatively small speaker, and as such the directivity control measures are only really effective in the ~1-20kHz range. Making it larger would enable directivity control lower in frequency.
Enough talk about ideas, let's talk simulations!
Firstly, the compression driver chosen is the BMS 5530ND. Chosen for its great performance at both high and low frequencies. It behaves much better at low frequencies than most 1'' exit compression drivers, and this is a benefit when we want to squeeze as much range as possible out of our compression drivers. Additionally, it has a very small phase plug exit, and as such it is possible to remove the bugscreen in front of the driver and place a throat piece specifically adapted to the horn into the conical exit of the driver. This allows finer control of the horn's expansion (and thus directivity and loading). The exit of the BMS' phase plug is roughly 16mm, that's roughly 0.63'' for you Americans, and means that constant directivity up to 20kHz is achievable.
Note that for the data I am going to present, all normalized graphs will be normalized to 10 degrees off-axis, as there are (very slight) interference effects directly on-axis (in the range of 0.5-1dB or so). The design axis for these designs will therefore be very slightly off-axis.
Constant directivity waveguide (black line in second graph is power response):
Linear directivity waveguide (black line in second graph is power response):
Both waveguides are somewhat narrow, and this is by design. The constant directivity waveguide would work well for a large variety of seating positions, while this is less true of the linear directivity one. Nonetheless I've tried to keep a roughly +-15 degree angle where the sound is pretty much the same, so that the listener doesn't change the sound simply by moving his or her head. The following are simulations of each of these waveguides combined with a 10'' woofer (also simulated in AKABAK), with what I believe are achievable crossovers. Note that the spins are *not* normalized to 10 degrees off-axis like the above graphs, as the ER and SP are referenced to the listening window, which effectively takes care of any aberrations.
Constant directivity waveguide (crossover 1075Hz):
Linear directivity waveguide (crossover 800Hz):
I have already 3D printed the constant directivity waveguide and measured it, while the directivity is as predicted, it unfortunately seems the the BMS 5530ND is very sensitive the the acoustic load it is presented with (in this case the acoustic impedance of the horn). I won't go into detail about it here, but it means that it is very hard to run this waveguide much further down than roughly 1.1kHz on this waveguide. The linear directivity waveguide can more easily be designed to provide good acoustic loading, and it is therefore assumed that an 800Hz crossover should be possible. I am currently 3D printing this waveguide, and eager to see the results.
Finally, just to give an idea of what the waveguides look like (first constant directivity, second linear directivity):