Paul Kittinger designs transmission line (TL) cabinets using a digital application developed by Martin J. King using MathCad.
According to Martin King, there is a small but important difference between what he calls a mass-loaded transmission line (MLTL) speaker cabinet and a bass reflex cabinet. The MLTL cabinet is tuned the same way any quarter wave length TL cabinet is tuned – by altering the line length. The longer the line, the lower the tuning frequency. When an appropriately sized & located port tube is added to the cabinet, it acts to lower the frequency of the cabinet's tuning. This allows a lower tuning for an otherwise shorter cabinet.
Imagine a flexible metal ruler. One end is clamped to a table, and the other end is allowed to move freely. If you pull & release the free end, it vibrates. The longer the ruler the lower the vibrations. Next, attach a weight to the free end. It lowers the vibration frequency without lengthening the ruler. Martin King says that his port-vented quarter-wave cabinet, acts similar to the mass loaded metal ruler. And he dubbed it a mass-loaded transmission line, a MLTL.
So a MLTL cabinet must have a defined inner volume and line length, whereas, a standard bass reflex cabinet must only have a defined inner volume.
King, an experimental physicist, described how he first arrived at a working math model of his idea:
For most of the 20th century, TL speaker cabinet design remained more of an art than a science. It required extensive trial & error with real wood. In contrast, by 1975, math equations could easily predict the acoustic behavior of sealed or ported cabinets, without any trial or error. As a result, the TL cabinets were rarely, if ever, fully understood or optimized. The high construction and shipping costs for large, heavy cabinets made commercial TL speakers extremely rare.
By the early 21st century, mathematical models that seemed to approximate the behavior of real-world TL speakers and cabinets, began to emerge. According to the
website t-linespeakers.org, this led to an understanding that what Dave D'lugos termed the "classical" speakers, designed largely by "trial and error", were a "good job" and the best that was reasonably possible at those time, but that better designs were now achievable based on modeled responses.
However, in the early 21st Century, Martin King and George Augspurger both produced models which show these previous TL designs were generally "less than optimal", but "did a good job of approaching what was possible in their day".
Physicist Martin King based his model starting with mechanical parameters, and audio engineer Augspurger modeled his TLs starting with electrical parameters. Both find their models agree closely with each other.
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Information on Transmission Line Design for DIY and other audio related information including filter design and bafflestep information
www.t-linespeakers.org