SDG Electronics

Photodiode transimpedance

Photodiode transimpedance with circuit equations and operating-limit checks.

Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.

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How it calculates

Single-pole amplifier transimpedance: H(s) = −Rf/[1+s(Rf Cf+1/ωt)+s² Rf(Cin+Cf)/ωt]

Q: Q = √[Rf(Cin+Cf)/ωt]/(Rf Cf+1/ωt)

Noise: Integrated en²|NGclosed|² + (in²+2q|Iphoto+Idark|+4kT/Rf)|Zt|²

Assumptions

  • Photocurrent and dark current flow into the summing node; amplifier bias current flows out of the node into its input. Op-amp model uses A(s)=ωt/s, without extra poles. Capacitance design targets Q and reports the corresponding model phase margin; it does not imply the same phase margin for a real amplifier. Noise integrates from 1 Hz, with no flicker noise.

Worked example

These are the calculator's default inputs. Change any input above to recalculate.

Inputs

Feedback selection
design
Photocurrent into summing node
0.000001 A
Feedback resistor
1000000 Ω
Total photodiode and input capacitance
2e-11 F
Chosen feedback capacitor
1e-12 F
Target second-order Q
0.707107
Amplifier GBW
10000000 Hz
Dark current into node
1e-9 A
Input bias current into amplifier
1e-12 A
White voltage noise
5e-9 V/√Hz
White current noise
1e-12 A/√Hz
Noise integration upper limit
1000000 Hz
Temperature
25 °C

Results

Feedback capacitor
7.97726e-13 F
Photocurrent output voltage
-1 V
Model −3 dB bandwidth
276632 Hz
Model Q
0.707107
Dark/bias DC contribution
-0.000999 V
Integrated output noise
0.000644993 V RMS
Single-pole loop phase margin
65.828 deg

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