Responsivity in relation to Photon Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)
R = (η*[Charge-e])/([hP]*f)
This formula uses 2 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Responsivity of Photodetector - (Measured in Ampere) - Responsivity of Photodetector quantifies how much electrical current a photodetector generates in response to a certain amount of incident optical power.
Quantum Efficiency - Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.
Frequency Of Incident Light - (Measured in Hertz) - Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.
STEP 1: Convert Input(s) to Base Unit
Quantum Efficiency: 0.3 --> No Conversion Required
Frequency Of Incident Light: 20 Hertz --> 20 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (η*[Charge-e])/([hP]*f) --> (0.3*[Charge-e])/([hP]*20)
Evaluating ... ...
R = 3626983891646.28
STEP 3: Convert Result to Output's Unit
3626983891646.28 Ampere --> No Conversion Required
FINAL ANSWER
3626983891646.28 3.6E+12 Ampere <-- Responsivity of Photodetector
(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT University), Chennai
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17 C-V Actions of Optics Transmission Calculators

Noise Equivalent Power
​ Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)
Passband Ripple
​ Go Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2
ASE Noise Power
​ Go ASE Noise Power = Mode Number*Spontaneous Emission Factor*(Single Pass Gain-1)*([hP]*Frequency Of Incident Light)*Post Detection Bandwidth
Noise Figure given ASE Noise Power
​ Go Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth))
Output Photo Current
​ Go Photocurrent = Quantum Efficiency*Incident Optical Power*[Charge-e]/([hP]*Frequency Of Incident Light)
Peak Parametric Gain
​ Go Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))
Responsivity with reference of Wavelength
​ Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])
Total Shot Noise
​ Go Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))
Responsivity in relation to Photon Energy
​ Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)
Thermal Noise Current
​ Go Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity
Gain Coefficient
​ Go Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient
Junction Capacitance of Photodiode
​ Go Junction Capacitance = Permittivity of Semiconductor*Junction Area/Depletion Layer Width
Dark Current Noise
​ Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current
Load Resistor
​ Go Load Resistance = 1/(2*pi*Post Detection Bandwidth*Capacitance)
Optical Gain of Phototransistor
​ Go Optical Gain of Phototransistor = Quantum Efficiency*Common Emitter Current Gain
PhotoConductive Gain
​ Go PhotoConductive Gain = Slow Carrier Transit Time/Fast Carrier Transit Time
Responsivity of Photodetector
​ Go Responsivity of Photodetector = Photocurrent/Incident Power

Responsivity in relation to Photon Energy Formula

Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)
R = (η*[Charge-e])/([hP]*f)

What's "responsivity" in photodetectors, and how's it tied to incident photon energy?

Responsivity in photodetectors signifies their ability to convert incident photons into an electrical signal. It quantifies the detector's sensitivity to light.Higher photon energy typically leads to increased responsivity, indicating greater detector sensitivity to higher-energy photons.

How to Calculate Responsivity in relation to Photon Energy?

Responsivity in relation to Photon Energy calculator uses Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light) to calculate the Responsivity of Photodetector, The Responsivity in relation to Photon Energy formula is defined as as the ratio of the generated electrical current or voltage to the incident optical power. It is typically expressed in units of amps per watt or volts per watt, depending on the type of detector. Responsivity of Photodetector is denoted by R symbol.

How to calculate Responsivity in relation to Photon Energy using this online calculator? To use this online calculator for Responsivity in relation to Photon Energy, enter Quantum Efficiency (η) & Frequency Of Incident Light (f) and hit the calculate button. Here is how the Responsivity in relation to Photon Energy calculation can be explained with given input values -> 3.6E+12 = (0.3*[Charge-e])/([hP]*20).

FAQ

What is Responsivity in relation to Photon Energy?
The Responsivity in relation to Photon Energy formula is defined as as the ratio of the generated electrical current or voltage to the incident optical power. It is typically expressed in units of amps per watt or volts per watt, depending on the type of detector and is represented as R = (η*[Charge-e])/([hP]*f) or Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light). Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent & Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.
How to calculate Responsivity in relation to Photon Energy?
The Responsivity in relation to Photon Energy formula is defined as as the ratio of the generated electrical current or voltage to the incident optical power. It is typically expressed in units of amps per watt or volts per watt, depending on the type of detector is calculated using Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light). To calculate Responsivity in relation to Photon Energy, you need Quantum Efficiency (η) & Frequency Of Incident Light (f). With our tool, you need to enter the respective value for Quantum Efficiency & Frequency Of Incident Light and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Responsivity of Photodetector?
In this formula, Responsivity of Photodetector uses Quantum Efficiency & Frequency Of Incident Light. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Responsivity of Photodetector = Photocurrent/Incident Power
  • Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])
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