 Return loss

In telecommunications, return loss or reflection loss is the loss of signal power resulting from the reflection caused at a discontinuity in a transmission line or optical fiber. This discontinuity can be a mismatch with the terminating load or with a device inserted in the line. It is usually expressed as a ratio in decibels (dB);
 where RL(dB) is the return loss in dB, P_{i} is the incident power and P_{r} is the reflected power.
Two lines or devices are well matched if the return loss is high. A high return loss is therefore desirable as it results in a lower insertion loss. Return loss may be given a minus sign, see below.
Sign
Properly, loss quantities, when expressed in decibels, should be positive numbers.^{[note 1]} However, return loss has historically been expressed as a negative number, and this convention is still widely found in the literature.^{[1]}
Taking the ratio of reflected to incident power results in a negative sign for return loss;
 where RL'(dB) is the negative of RL(dB).
Caution is required when discussing increasing or decreasing return loss since these terms strictly have the opposite meaning when return loss is defined as a negative quantity.
Electrical
In metallic conductor systems, reflections of a signal traveling down a conductor can occur at a discontinuity or impedance mismatch. The ratio of the amplitude of the reflected wave V_{r} to the amplitude of the incident wave V_{i} is known as the reflection coefficient Γ.
When the source and load impedances are known values, the reflection coefficient is given by
where Z_{S} is the impedance toward the source and Z_{L} is the impedance toward the load.
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,
where the vertical bars indicate magnitude. Thus, a large positive return loss indicates the reflected power is small relative to the incident power, which indicates good impedance match from source to load.
When the actual transmitted (incident) power and the reflected power are known (i.e. through measurements and/or calculations), then the return loss in dB can be calculated as the difference between the incident power P_{i} (in dBm) and the reflected power P_{r} (in dBm),
Return loss is identified with the Sparameter S_{11} from twoport network theory. ^{[2]}
Optical
In an optical fiber, the loss that takes place at any discontinuity of refractive index, especially at an airglass interface such as a fiber endface, at which a fraction of the optical signal is reflected back toward the source. This reflection phenomenon is also called "Fresnel reflection loss," or simply "Fresnel loss."
Fiber optic transmission systems use lasers to transmit signals over optical fiber, and a high optical return loss (ORL) can cause the laser to stop transmitting correctly. The measurement of ORL is becoming more important in the characterization of optical networks as the use of wavelengthdivision multiplexing increases. These systems use lasers that have a lower tolerance for ORL, and introduce elements into the network that are located in close proximity to the laser.
where is the reflected power and is the incident, or input, power.
See also
 Hybrid balance
 Insertion loss
 Signal reflection
 Standing wave ratio
 Timedomain reflectometer
 Optical time domain reflectometer
 Mismatch loss
Notes
 ^ Except for cases where an active device succeeds in reflecting back more power than was sent into it. This is the case, for instance, with the tunnel diode amplifier.
References
 ^ Trevor S. Bird, "Definition and Misuse of Return Loss", IEEE Antennas & Propagation Magazine, vol.51, iss.2, pp.166167, April 2009.
 ^ Noel G. Barton, Jacques Periaux, "Coupling of fluids, structures, and waves in aeronautics", proceedings of a FrenchAustralian workshop in Melbourne, Australia, 3–6 December 2001, p.187, Springer, 2003 ISBN 3540402225.
 Federal Standard 1037C and from MILSTD188
 Optical Return Loss Testing—Ensuring HighQuality Transmission EXFO Application note #044
Categories: Wave mechanics
 Radio electronics
 Engineering ratios
 Electrical parameters
 Fiber optics
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