Photon Detection Efficiency Calculator (SiPM)
The photon detection efficiency calculator is designed to minimize the time spent on laborious calculations concerning Silicon Photomultipliers (SiPM). SiPMs are novel silicon detectors that are capable of detecting faint and fast light signals, even at a single photon level. Because of their high gain and quick response, they may find future application in medical imaging, e.g., Positron Emission Tomography (PET) or Single-Photon Emission Computed Tomography (SPECT). SiPMs are also compact and compatible with magnetic resonance devices.
Photon detection efficiency formula
The photon detection efficiency PDE is a quantity that measures the sensitivity of SiPMs. You can easily calculate it from the responsivity, R, of the sensor - with responsivity being the average photocurrent produced per unit of optical power. To make the conversion from R to PDE, you can use the following photon detection efficiency formula:
PDE = R * h * c / [e * λ * G * (1 + P_XT) * (1 + P_AP)],
where:
PDEis the photon detection efficiencyRis the responsivity, expressed in amps per WattA/Wh = 6.626 * 10⁻³⁴ m²*kg/sis Planck's constantc = 2.998 * 10⁸ m/sis the speed of lighte = 1.602 * 10⁻¹⁹ Cis elementary chargeλis the wavelength of the incident lightGis the gain, i.e., the amount of charge created for each detected photonP_XTis the crosstalk probabilityP_APis the afterpulsing probability
To accurately determine PDE, you should always take into account contributions due to optical crosstalk and afterpulsing. The former occurs when a single incident photon generates signals equivalent to two or more photons. The latter happens when some carriers become trapped in defects in the silicon. After some time, up to several nanoseconds, they are released, creating an additional signal. You can determine the probability of both phenomena separately by taking the appropriate measurements.
Photon detection efficiency calculator - an example
This photon detection efficiency calculator is straightforward to use and will calculate any missing variable if all of the others are provided. Simply, enter any five quantities, and the sixth will be automatically estimated. For example, let's find out what the PDE of a SiPM with the following parameters will be:
- gain
G = 1,000,000 - crosstalk probability
P_XT = 20 % - afterpulsing probability
P_AP = 4 %
Let the incident light's wavelength be λ = 420 nm, and the responsivity R = 150,000. What is the photon detection efficiency? Fill in appropriate fields, and you'll find that PDE = 35.48 %. Isn't that simple with the photon detection efficiency calculator?
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