# Responsivity

Definition: photocurrent per unit optical power incident on a photodetector

Alternative term: radiant sensitivity

German: Empfindlichkeit

Category: light detection and characterization

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Author: Dr. RĂ¼diger Paschotta

The responsivity (or *radiant sensitivity*) of a photodiode or some other kind of photodetector is the ratio of generated photocurrent and incident (or sometimes absorbed) optical power (neglecting noise influences), determined in the linear region of response.
In the case of photodiodes, the responsivity is typically highest in a wavelength region where the photon energy is somewhat above the band gap energy, and declining sharply in the region of the bandgap, where the absorption decreases.
It can be calculated according to

where *h ν* is the photon energy, η is the quantum efficiency, and *e* the elementary charge.
For example, a photodiode with 90% quantum efficiency at a wavelength of 800 nm, the responsivity would be ≈ 0.58 A/W.
For avalanche photodiodes and photomultipliers, there is an additional factor for the internal current multiplication, so that values far above 1 A/W are possible.
Note that the current multiplication is usually *not* subsumed in the quantum efficiency.

The responsivity is usually defined for the steady state. The photodiode response typically falls off for signal frequencies above some detection bandwidth.

The term *sensitivity* is often used instead of *responsivity*, but can also have other meanings.
It should be avoided when a clear quantitative meaning is intended.

A photodetector should ideally be operated in a spectral region where its responsivity is not far below the highest possible value, because this leads to the lowest possible detection noise and thus to a high signal-to-noise ratio and high sensitivity.

If some detector has a voltage rather than a current output, one can define its responsivity as the ratio of output voltage and optical power. This leads to units of V/W (volts per watt). If a photodiode is combined with some detector electronics generating a voltage output, the output voltage is the photocurrent times the so-called transimpedance of the electronics. In the simplest case, one uses a shunt resistor, and the transimpedance is then its resistance.

See also: photodetectors, photodiodes, noise-equivalent power, sensitivity

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