In metallic conductor systems, reflections of a
signal traveling down a conductor can occur at a discontinuity or
impedance mismatch. The ratio : \Gamma = \frac{V_\text{r}}{V_\text{i}} of the amplitude of the reflected wave
Vr to the amplitude of the incident wave
Vi is known as the
reflection coefficient. Return loss is the negative of the magnitude of the reflection coefficient in dB. Since power is proportional to the square of the voltage, return loss is given by : \text{RL}(\text{dB}) = -20 \log_{10} |\Gamma|, where the
vertical bars indicate
magnitude. Thus, a large positive return loss indicates that the reflected power is small relative to the incident power, which indicates good impedance match between transmission line and load. If the incident power and the reflected power are expressed in "absolute"
decibel units, (e.g.,
dBm), then the return loss in dB can be calculated as the difference between the incident power
Pi (in absolute
dBm units) and the reflected power
Pr (also in absolute
dBm units): : \text{RL}(\text{dB}) = P_\text{i}(\text{dBm}) - P_\text{r}(\text{dBm}). ==Optical==