The ratio of output to input signal power, often expressed in decibels.Gain is a measure of how much a system amplifies a signal, defined as the ratio of output power to input power. It is commonly expressed in decibels (dB), where a gain of 10 dB means the output is ten times more powerful than the input. Gain is a fundamental concept in electronics, optics, and acoustics, determining the sensitivity and performance of amplifiers, antennas, and detectors.
The term 'gain' has been used since the early days of radio engineering in the 1910s and 1920s. The decibel unit was introduced by Bell Labs in the 1920s to quantify signal loss in telephone lines and later applied to gain.
An amplifier takes a weak input signal and uses an external power source to produce a stronger output signal. The gain is set by the amplifier's design, such as the number of transistor stages or the doping level in a laser medium. In antennas, gain describes how effectively they focus energy in a particular direction compared to a hypothetical isotropic radiator. High gain means a more directional and efficient signal.
Gain is essential in designing communication systems, from cell towers to satellite links, and in scientific instruments like gravitational wave detectors that amplify tiny vibrations to measurable levels.
In gravitational wave detectors like LIGO, the total gain is so high that a mirror displacement smaller than a proton's width is amplified into a measurable electrical signal.



