Martin J King Mathcad Worksheets ⇒
King proved that tapering a line ( ) and strategically placing the driver at roughly
The effectiveness of these worksheets is best demonstrated by their commercial adoption. In 2017, EJ Jordan (a famous driver manufacturer) released the , a speaker specifically designed for the Eikona 2 driver.
Today, the worksheets remain a powerful and respected tool, a living legacy on a static website. They are a testament to the "quarter-wave" design philosophy and the enduring, positive impact of sharing knowledge—the very spirit that defines the best of the DIY audio world. For anyone looking to truly understand and master transmission line speakers, a journey to quarter-wave.com to explore Martin J. King's work is not just a recommendation; it is a rite of passage.
These worksheets do not just calculate one number; they provide detailed graphs for:
The worksheets are built for PTC Mathcad , a software platform for engineering calculations. Unlike a "black box" program, the worksheets allow users to see the underlying equations and perform "what-if" analyses. Quarter Wavelength Loudspeaker Design martin j king mathcad worksheets
An ML-TL combines a transmission line column with a restrictive physical port at the exit. King's worksheets demonstrate how adding a port restricts air velocity, allows for a significantly shorter cabinet length, and maintains deep, controlled bass extension. 3. Open Baffle (OB) and Dipole Systems
If you search for , you are primarily looking for his "Alignment Tables" and "Classic Transmission Line" models. The most famous versions include:
Focus your analysis on two specific plots:
The worksheets function as a simulator. A designer can change the stuffing density by 0.1 lbs or move a driver two inches higher on the baffle and immediately see the ripple effects on frequency response and impedance. This "what-if" capability saved builders hundreds of hours in the woodshop. Key Worksheets in the Collection King proved that tapering a line ( )
The power of these worksheets lies in their accuracy and detailed output. 1. Accurate Transmission Line Design
Quarter-wave enclosures, such as transmission lines and open baffles, defy these simplified assumptions. Air behaves as a distributed element inside a long duct or across a wide panel. Sound waves travel down the pipe, reflect off the boundaries, and create complex standing wave patterns.
How specific amounts of polyester fiber or long-hair wool stuffing attenuate higher-frequency internal reflections.
While Martin J. King has retired and no longer updates the original Mathcad files, his models remain the "gold standard" for quarter-wave theory. Many of his equations have since been ported into modern software like software or AkAbak , ensuring his contributions continue to influence speaker building today. They are a testament to the "quarter-wave" design
Freeware programs that incorporate similar quarter-wave calculations. Conclusion
While the basic worksheets were powerful, the advanced versions introduced capabilities that even modern commercial software often struggles with.
Which are you planning to design? (e.g., Transmission Line, Open Baffle) Do you currently have access to Mathcad software ?
King's revolution was to provide a repeatable, physics-based method. His models solved the one-dimensional exponential horn wave equation, merged with an empirically derived fiber damping correlation, to accurately simulate the complex interactions inside the line. The result was a tool that could predict performance with remarkable accuracy, allowing builders to iterate designs on a computer before ever cutting a piece of wood.