Quarter Wave Box Calculator 21
Derevation of the Quarter Wave Transformer Equation A quarter wave transformer is used to match two transmission lines with different impedances. As the name suggests, the length of this transmission line if fixed at a quarter of the wavelength (λ/4).
The most common example of a loudspeaker that relies on a quarter wavelength acoustic standing wave is a transmission line enclosure. This style of loudspeaker has been on the fringe of the audio mainstream for many years with just a few smaller companies building and marketing this enclosure design.
The wavelength can be calculated based on frequency here. The input impedance of a transmission line of length L with characteristic impedance Z o and connected to a load with impedance Z L: When the wavelength is take to be a quarter wave (λ/4). This formula simplifies down to: The Characteristic Impedance of Transmission Line is then given.
Photo 1: The TABAQ speaker A transmission line designed and optimized for the Tang Band 3” full- range drivers. Inspired by debates on the Internet about quarter wave designs with Tang Band 3˝ full-range drivers, I decided to design my own quarter wave loudspeakers. They sure deserve a better construction than those found on the Internet. In the last couple of years, I have worked with the useful simulation models from Martin J.
King and designed and built a successful TL sub (“The HideAway TL Sub,” 7/06 aX). Working with Martin’s models is quite educational, and I feel confident about quarter wave (transmission line) design. Please refer to my article “Martin J. King for Dummies” on. The TABAQ Sound Pressure Level (SPL) is impressive for such a small driver, with a very smooth and broad frequency response. The dashed line in Fig. Tiski chertezh autocad.
1 is the Infinite Baffle (IB) response, and the solid line is the summed output from the driver and the opening. The sound is open with no unwanted resonances, and the bass is relatively deep and clean. The first time you listen to this speaker, you will be impressed by the quality of the sound and performance of the bass, bearing in mind the size of the driver and the lack of financial problems building it. The problems with baffle step are corrected with a simple filter, which balances the SPL in the listening room. Figure 1: TABAQ sound pressure level. Tang Band Drivers You can use all the 3˝ drivers in this construction.
My first test was with W3-926S, which I replaced with W3-315SC. The Tang Band drivers have a relatively high Fs and very high Qts, which means the rolloff is more gentle than a low Qts driver, and it is therefore possible to design a quarter wave with useful output well below Fs. However, high Qts drivers can be difficult to control. The whole idea with a quarter wave — or transmission line — is to extend the bass by the contribution from the opening. At the cabinet resonance, the output adds to the driver output. However, there are some unwanted higher harmonics, which are out of phase with the driver, causing uneven frequency response. These problems can be solved by different design parameters, which I have successfully used with the TABAQ design.
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