Hey Prof -
Perhaps some of the most well understood aspects of mathematical modeling of speakers has to do with matching a cabinet volume, and port (if any) to a specific driver to achieve a particular low frequency response. A free tool which does this which I have used is WinISD:
http://www.linearteam.org/
but you can also use commercial tools like BassBox Pro and even online calculators. This is all thanks to the standard measurements given the Thiele/Small parameters of a driver:
https://en.wikipedia.org/wiki/Thiele/Small_parameters
The driver's diameter, resonant frequency, equivalent volume of air (Vas) and Qts are among the most important.
Fortunately, vendors like Madisound or Parts Express will often recommend specific cabinets for you, either with exact dimensions, or give you internal volume and port sizes, with the projected -3 dB point.
In practice, Seas, FaitalPRO and Scanspeak make a number of 6.5" mid-woofers with remarkable bass output for the size, if you put them in the right cabinets. I find the trick to this is good room acoustics.
Best,
E
Perhaps some of the most well understood aspects of mathematical modeling of speakers has to do with matching a cabinet volume, and port (if any) to a specific driver to achieve a particular low frequency response. A free tool which does this which I have used is WinISD:
http://www.linearteam.org/
but you can also use commercial tools like BassBox Pro and even online calculators. This is all thanks to the standard measurements given the Thiele/Small parameters of a driver:
https://en.wikipedia.org/wiki/Thiele/Small_parameters
The driver's diameter, resonant frequency, equivalent volume of air (Vas) and Qts are among the most important.
Fortunately, vendors like Madisound or Parts Express will often recommend specific cabinets for you, either with exact dimensions, or give you internal volume and port sizes, with the projected -3 dB point.
In practice, Seas, FaitalPRO and Scanspeak make a number of 6.5" mid-woofers with remarkable bass output for the size, if you put them in the right cabinets. I find the trick to this is good room acoustics.
Best,
E