Photon Detection Efficiency Calculator (SiPM)

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:

where:

• PDEPDE – Photon detection efficiency;
• RR – Responsivity, expressed in amps per Watt A/W;
• h=6.626×10−34 m2⋅kg/sh=6.626×10−34 m2⋅kg/s is Planck's constant;
• c=2.998×108 m/sc=2.998×108 m/s is the speed of light;
• e=1.602×10−19 Ce=1.602×10−19 C is elementary charge;
• λλ – Wavelength of the incident light;
• GG – Gain, i.e., the amount of charge created for each detected photon;
• PXT​PXT​ – Crosstalk probability; and
• PAP​PAP​ – 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.

The intrinsic carrier concentration calculator might be a helpful tool if you need to investigate this physical quantity. Intrinsic carrier concentration is a crucial parameter to consider for photoactive materials.

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 the appropriate fields, and you'll find that PDE = 35.48%. Isn't that simple with the photon detection efficiency calculator?

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