Shot noise is a type of electronic noise that arises in semiconductor devices and other electronic components due to the discrete nature of charge carriers (electrons or holes) flowing through the device. It is named "shot noise" because it resembles the sound of shots being fired at irregular intervals.
In a semiconductor device, such as a diode, transistor, or integrated circuit, the flow of charge carriers is not continuous but rather occurs in discrete units, which are individual electrons or holes. As these carriers move through the device, they experience random variations in their arrival times at any given point.
The fundamental cause of shot noise is the statistical nature of the charge carriers' behavior. At any given time, there will be fluctuations in the number of carriers passing through a particular point in the device. These fluctuations arise from various sources, including:
Random arrival times of charge carriers at the input of the device.
The statistical distribution of carriers within the device's active region.
Random recombination or trapping processes that can affect the number of carriers.
As a result, the current flowing through the semiconductor device will have random fluctuations around its average value. These fluctuations manifest as shot noise and follow a Poisson distribution.
The shot noise power (P_shot) is proportional to the current (I) passing through the device and can be described by the following formula:
P_shot = 2 * q * I * Δf
Where:
q is the elementary charge of an electron (approximately 1.6 x 10^-19 Coulombs).
I is the average current.
Δf is the bandwidth of the measurement.
Shot noise becomes more significant at low current levels and at high frequencies, where the fluctuations become more pronounced and noticeable. In practical terms, shot noise can limit the sensitivity and precision of electronic devices, particularly in applications where low currents or high-frequency signals are involved.
Engineers and designers of semiconductor devices need to take shot noise into account when dealing with low-noise applications or when seeking to improve the performance of devices sensitive to such noise sources. Techniques like cooling the device, using higher currents, or employing signal processing methods can help mitigate the impact of shot noise in semiconductor devices.