What is the wavelength of a shorted stub line attached to a transmission line that absorbs even harmonics?

A shorted stub line is a specific type of transmission line segment that is terminated with a short circuit at one end. When configured to absorb even harmonics, the stub effectively acts as a filter or absorber for these frequencies.

The length of the stub plays a crucial role in its functionality. For even harmonics, a quarter wavelength (1/4 wavelength) stub is designed to produce an impedance transformation. When the length of the stub is one-quarter of the wavelength of a particular frequency, it will reflect harmonics back toward the source where they can be dissipated. This is due to the fact that at this length, the electrical length of the line creates a condition where the voltage and current characteristics allow the even harmonics to be absorbed effectively.

This principle is grounded in transmission line theory where a one-quarter wavelength line has specific resonance characteristics that allow it to balance out certain frequency components. Therefore, a shorted stub with a length of one-quarter wavelength is ideal for absorbing even harmonics effectively.