Dark Current
Where Dark Current Comes From
When a photodiode is reverse biased and kept in darkness, the depletion region still generates a steady trickle of carriers. Three mechanisms dominate. Diffusion current arises when minority carriers in the neutral regions diffuse into the depletion region; it follows the intrinsic-carrier-concentration-squared term and is the limiting floor in well-passivated silicon. Generation-recombination current comes from mid-gap traps within the depletion region itself and scales with the depletion volume and the intrinsic carrier concentration. Surface leakage flows along the periphery of the junction through surface states and contamination, and is the term most sensitive to passivation quality and humidity. The relative weight of these terms determines how strongly a given detector reacts to temperature and reverse voltage.
For narrow-bandgap materials such as InGaAs (used at 1310 and 1550 nm) and germanium, the intrinsic carrier concentration is far higher than in silicon, so dark current is orders of magnitude larger at the same temperature. A silicon photodiode may show 1 to 50 pA, while an InGaAs device of similar area shows 0.5 to 5 nA and a germanium device tens to hundreds of nanoamps. This is why long-wavelength fiber receivers benefit so strongly from cooling, and why mid-wave and long-wave infrared detectors are almost always operated cryogenically. The strong temperature dependence is the practical signature engineers use to confirm that a measured leakage is genuine bulk dark current rather than stray light or instrument leakage.
The Dark-Current and Shot-Noise Equations
Id ≈ Is × [exp(qV / nkT) − 1] → Id ≈ −Is (for V < 0)
Shot noise from dark current:
in2 = 2 × q × Id × B (A2)
APD multiplied dark-current noise:
in2 = 2 × q × (Ids + Idb × M2 × F(M)) × B
Where Is = reverse saturation current, q = 1.602 × 10−19 C, n = ideality factor, k = Boltzmann constant, T = junction temperature (K), B = bandwidth, Ids = surface (unmultiplied) leakage, Idb = bulk (multiplied) leakage, M = avalanche gain, F(M) = excess-noise factor. Example: Id = 2 nA over B = 1 GHz → in = √(2×1.602×10−19×2×10−9×109) ≈ 0.80 nA RMS.
Dark Current by Detector Material
| Detector | Typical wavelength | Dark current (25 °C) | Multiplied? | Common use |
|---|---|---|---|---|
| Silicon PIN | 400 to 1000 nm | 1 to 50 pA | No | Visible, short-reach fiber |
| Silicon APD | 400 to 1000 nm | 0.1 to 5 nA at M=100 | Yes (low F) | LiDAR, single-photon |
| InGaAs PIN | 1100 to 1650 nm | 0.5 to 5 nA | No | Telecom, RF-over-fiber |
| InGaAs APD | 1100 to 1650 nm | 5 to 50 nA at M=10 | Yes (high F) | Long-haul receivers |
| Germanium PIN | 800 to 1600 nm | 50 to 500 nA | No | Legacy / low cost |
Frequently Asked Questions
How much does photodiode dark current change with temperature?
The thermally generated bulk component roughly doubles for every 8 to 10 °C of junction temperature rise. An InGaAs PIN at 1 nA at 25 °C can reach 8 to 16 nA at 55 °C and over 100 nA at 85 °C. Surface leakage scales more gently, while diffusion-limited devices follow a steeper bandgap-set exponential. Cooling to minus 20 °C or colder cuts dark current by one to two orders of magnitude, which is why low-noise and single-photon receivers are thermoelectrically cooled.
Why does dark current matter more for an avalanche photodiode than a PIN diode?
An APD splits dark current into an unmultiplied surface term and a bulk term amplified by the avalanche gain M. The multiplied term's shot noise grows roughly as M2+x, where x is the excess-noise exponent (0.2 to 0.5 for InGaAs, 0.02 to 0.1 for silicon), so it can dominate the noise budget at high gain. This creates an optimum operating gain. A PIN diode has no multiplication, so its dark current adds only its own shot noise with no gain penalty.
How is dark current measured on a photodiode?
Place the device in a light-tight fixture, apply the specified reverse bias (for example 5 V, or 90% of breakdown for an APD), and read the steady-state current with a picoammeter or source-measure unit after the junction settles. Specs are usually quoted at 25 °C and often as current density in nA/cm2 to normalize for active area. Suppress stray light and cable leakage, and allow seconds to minutes for the reading to stabilize.