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 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.
Jun 24, 2015 - Inspired by debates on the Internet about quarter wave designs with Tang Band 3˝. This is not a bass reflex enclosure; it is a quarterwave.
Overview: This is a calculator for designing a 1/4 Wave Flared Vent T-Line/Horn/Bass Reflex Enclosure. The formulas used in the calculator create a design that suggests the most maximally flat response in an anechoic environment based on the number of drivers, the thiele small parameters and the allotted dimensions specified in the user’s input fields.
The calculator does NOT take into account the effects of placing the enclosure into the listening environment. This type of enclosure may not be the most suitable option for your application. I recommend reading the articles in the category on box design for further information. Feel free to check out the other calculators on the site as they may provide the results you are looking for. —> You can also request a totally custom design for your driver(s)/application by filling out the form in the page. The spreadsheet calculator loads via iframe below the diagrams. You can also access the spreadsheet.
Instructions: This calculator requires the input of your driver’s thiele small parameters. This design is a “driver specific” enclosure design and it is crucial to have the correct thiele small parameters for your driver(s) in order to achieve the intended alignment model from the formulas.
• Begin by filling in the input fields (white boxes) for your “Driver Specifications” in the spreadsheet. • Scroll down to the “Maximum Dimensions” section and fill in the field labeled “Material Thickness” with the width of the material you plan to use to build your enclosure out of. • Fill in the fields for the “External Height” and “External Width.” The calculator will automatically calculate the “External Depth” so take measurements of your allotted space and make sure it will all fit! • Under the “Enclosure Specifications” section, fill in in the field labeled “Chamber Depth.” This is where your driver(s) will be situated so it is advisable to compensate for its mounting depth. 3 for a clear visual as to what this dimension is. • Now for a little trial an error!