Photocurrent due to Incident Light Solution

STEP 0: Pre-Calculation Summary
Formula Used
Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))
Ip = (Po*[Charge-e]*(1-r))/([hP]*f)*(1-exp(-αab*dab))
This formula uses 2 Constants, 1 Functions, 6 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Photocurrent - (Measured in Ampere) - Photocurrent is the electrical current produced by the photodetector when exposed to light.
Incident Power - (Measured in Watt) - Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector.
Reflection Coefficient - Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.
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.
Absorption Coefficient - The Absorption Coefficient is a measure of how readily a material absorbs radiant energy. It can be defined in terms of unit thickness, unit mass, or per atom of an absorber.
Width of Absorption Region - (Measured in Meter) - The width of absorption region refers to the width of the region in the optical fiber where light is absorbed and converted into heat by molecules in the fiber core and cladding.
STEP 1: Convert Input(s) to Base Unit
Incident Power: 1.75 Microwatt --> 1.75E-06 Watt (Check conversion ​here)
Reflection Coefficient: 0.25 --> No Conversion Required
Frequency Of Incident Light: 20 Hertz --> 20 Hertz No Conversion Required
Absorption Coefficient: 2.011 --> No Conversion Required
Width of Absorption Region: 2.201 Nanometer --> 2.201E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ip = (Po*[Charge-e]*(1-r))/([hP]*f)*(1-exp(-αab*dab)) --> (1.75E-06*[Charge-e]*(1-0.25))/([hP]*20)*(1-exp(-2.011*2.201E-09))
Evaluating ... ...
Ip = 0.0702353567505259
STEP 3: Convert Result to Output's Unit
0.0702353567505259 Ampere -->70.2353567505259 Milliampere (Check conversion ​here)
FINAL ANSWER
70.2353567505259 70.23536 Milliampere <-- Photocurrent
(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh
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25 Optical Detectors Calculators

SNR of Good Avalanche Photodiode ADP Receiver in decibels
​ Go Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance)))
Photocurrent due to Incident Light
​ Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))
Probability of Detecting Photons
​ Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)
Excess Avalanche Noise Factor
​ Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)
Total Photodiode Current
​ Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent
Optical Gain of Phototransistors
​ Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)
Average Number of Photons Detected
​ Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])
Single Pass Phase Shift through Fabry-Perot Amplifier
​ Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer
Total Root Mean Square Noise Current
​ Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)
Average Received Optical Power
​ Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)
Total Power Accepted by Fiber
​ Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))
Multiplied Photocurrent
​ Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power
Temperature Effect on Dark Current
​ Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)
Incident Photon Rate
​ Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)
Maximum Photodiode 3 dB Bandwidth
​ Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)
Maximum 3dB Bandwidth of Metal Photodetector
​ Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)
Bandwidth Penalty
​ Go Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)
Long Wavelength Cutoff Point
​ Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy
Quantum Efficiency of Photodetector
​ Go Quantum Efficiency = Number of Electrons/Number of Incident Photons
Multiplication Factor
​ Go Multiplication Factor = Output Current/Initial Photocurrent
Electron Rate in Detector
​ Go Electron Rate = Quantum Efficiency*Incident Photon Rate
Transit Time with respect to Minority Carrier Diffusion
​ Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)
Longest Transit Time
​ Go Transit Time = Depletion Layer Width/Drift Velocity
3 dB Bandwidth of Metal Photodetectors
​ Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)
Detectivity of Photodetector
​ Go Detectivity = 1/Noise Equivalent Power

Photocurrent due to Incident Light Formula

Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))
Ip = (Po*[Charge-e]*(1-r))/([hP]*f)*(1-exp(-αab*dab))

What is photocurrent?

The photocurrent is the electric current that flows through a photosensitive device, such as a photodiode, due to exposure to radiant power. This current can occur due to the photoelectric, photo emissive, or photovoltaic effect.

The photoelectric effect is a phenomenon where electrons are ejected from the surface of a metal when light is incident on it. The ejected photoelectrons' kinetic energy depends on the frequency of the light that is incident on the metal’s surface. The current produced from the ejected electrons is called the photoelectric current.

How to Calculate Photocurrent due to Incident Light?

Photocurrent due to Incident Light calculator uses Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region)) to calculate the Photocurrent, Photocurrent due to Incident Light is generated when light is absorbed by a photodetector, such as a photodiode. The light transmitted through the fiber is detected by a photodetector at the receiving end. The photodetector absorbs the incident photons and generates electron-hole pairs. The electric field across the device causes these carriers to be swept out of the intrinsic region, thereby giving rise to a current flow in an external circuit. This current flow is known as the photocurrent. Photocurrent is denoted by Ip symbol.

How to calculate Photocurrent due to Incident Light using this online calculator? To use this online calculator for Photocurrent due to Incident Light, enter Incident Power (Po), Reflection Coefficient (r), Frequency Of Incident Light (f), Absorption Coefficient ab) & Width of Absorption Region (dab) and hit the calculate button. Here is how the Photocurrent due to Incident Light calculation can be explained with given input values -> 1.6E+13 = (1.75E-06*[Charge-e]*(1-0.25))/([hP]*20)*(1-exp(-2.011*2.201E-09)).

FAQ

What is Photocurrent due to Incident Light?
Photocurrent due to Incident Light is generated when light is absorbed by a photodetector, such as a photodiode. The light transmitted through the fiber is detected by a photodetector at the receiving end. The photodetector absorbs the incident photons and generates electron-hole pairs. The electric field across the device causes these carriers to be swept out of the intrinsic region, thereby giving rise to a current flow in an external circuit. This current flow is known as the photocurrent and is represented as Ip = (Po*[Charge-e]*(1-r))/([hP]*f)*(1-exp(-αab*dab)) or Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region)). Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector, Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium, Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second, The Absorption Coefficient is a measure of how readily a material absorbs radiant energy. It can be defined in terms of unit thickness, unit mass, or per atom of an absorber & The width of absorption region refers to the width of the region in the optical fiber where light is absorbed and converted into heat by molecules in the fiber core and cladding.
How to calculate Photocurrent due to Incident Light?
Photocurrent due to Incident Light is generated when light is absorbed by a photodetector, such as a photodiode. The light transmitted through the fiber is detected by a photodetector at the receiving end. The photodetector absorbs the incident photons and generates electron-hole pairs. The electric field across the device causes these carriers to be swept out of the intrinsic region, thereby giving rise to a current flow in an external circuit. This current flow is known as the photocurrent is calculated using Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region)). To calculate Photocurrent due to Incident Light, you need Incident Power (Po), Reflection Coefficient (r), Frequency Of Incident Light (f), Absorption Coefficient ab) & Width of Absorption Region (dab). With our tool, you need to enter the respective value for Incident Power, Reflection Coefficient, Frequency Of Incident Light, Absorption Coefficient & Width of Absorption Region and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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