Average Number of Photons Detected Calculator

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Optical Detectors

C-V Actions of Optics Transmission

Fiber Optic Parameters

Transmission Measurements

✖Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.ⓘ Quantum Efficiency [η]			+10% -10%
✖Average Received Optical Power is a measurement of the average optical power level received by a photodetector or optical receiver in a communication system or any optical application.ⓘ Average Received Optical Power [P_ou]			+10% -10%
✖Time period generally refers to the duration or interval of time between two specific events or points in time w.r.t BER of 10^-9.ⓘ Time Period [τ]			+10% -10%
✖Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.ⓘ Frequency Of Incident Light [f]			+10% -10%

✖Average number of photons detected refers to the expected or mean number of photons that are registered or measured by a photon detector over a certain period of time or within a specific experiment.ⓘ Average Number of Photons Detected [z_m]

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Formula

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Average Number of Photons Detected

Formula

`"z"_{"m"} = ("η"*"P"_{"ou"}*"τ")/("f"*"[hP]")`

Example

`"20.61516"=("0.3"*"6.5e-11pW"*"14.01ns")/("20Hz"*"[hP]")`

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Average Number of Photons Detected Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])
z_m = (η*P_ou*τ)/(f*[hP])
This formula uses 1 Constants, 5 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Average Number Of Photons Detected - Average number of photons detected refers to the expected or mean number of photons that are registered or measured by a photon detector over a certain period of time or within a specific experiment.
Quantum Efficiency - Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.
Average Received Optical Power - (Measured in Watt) - Average Received Optical Power is a measurement of the average optical power level received by a photodetector or optical receiver in a communication system or any optical application.
Time Period - (Measured in Second) - Time period generally refers to the duration or interval of time between two specific events or points in time w.r.t BER of 10^-9.
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
Average Received Optical Power: 6.5E-11 Picowatt --> 6.5E-23 Watt (Check conversion here)
Time Period: 14.01 Nanosecond --> 1.401E-08 Second (Check conversion here)
Frequency Of Incident Light: 20 Hertz --> 20 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_m = (η*P_ou*τ)/(f*[hP]) --> (0.3*6.5E-23*1.401E-08)/(20*[hP])

Evaluating ... ...

z_m = 20.6151608986011

STEP 3: Convert Result to Output's Unit

20.6151608986011 --> No Conversion Required

FINAL ANSWER

20.6151608986011 ≈ 20.61516 <-- Average Number Of Photons Detected

(Calculation completed in 00.004 seconds)

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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CVR COLLEGE OF ENGINEERING (CVR), India

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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

Average Number of Photons Detected Formula

Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])
z_m = (η*P_ou*τ)/(f*[hP])

Why is Average Number of Photons Detected important?

Average number of detected photons is a critical parameter in optics, quantum mechanics, and various technologies. It helps determine the intensity of light, influences the quality of data in imaging and communication.

How to Calculate Average Number of Photons Detected?

Average Number of Photons Detected calculator uses Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]) to calculate the Average Number Of Photons Detected, Average number of photons detected, in the context of physics and photonics, refers to the expected or mean number of photons that are registered or measured by a photon detector over a certain period of time or within a specific experiment. It is a statistical measure that quantifies the typical outcome when detecting photons. Average Number Of Photons Detected is denoted by z_m symbol.

How to calculate Average Number of Photons Detected using this online calculator? To use this online calculator for Average Number of Photons Detected, enter Quantum Efficiency (η), Average Received Optical Power (P_ou), Time Period (τ) & Frequency Of Incident Light (f) and hit the calculate button. Here is how the Average Number of Photons Detected calculation can be explained with given input values -> 20.60045 = (0.3*6.5E-23*1.401E-08)/(20*[hP]).

FAQ

What is Average Number of Photons Detected?

Average number of photons detected, in the context of physics and photonics, refers to the expected or mean number of photons that are registered or measured by a photon detector over a certain period of time or within a specific experiment. It is a statistical measure that quantifies the typical outcome when detecting photons and is represented as z_m = (η*P_ou*τ)/(f*[hP]) or Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]). Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent, Average Received Optical Power is a measurement of the average optical power level received by a photodetector or optical receiver in a communication system or any optical application, Time period generally refers to the duration or interval of time between two specific events or points in time w.r.t BER of 10^-9 & Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.

How to calculate Average Number of Photons Detected?

Average number of photons detected, in the context of physics and photonics, refers to the expected or mean number of photons that are registered or measured by a photon detector over a certain period of time or within a specific experiment. It is a statistical measure that quantifies the typical outcome when detecting photons is calculated using Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]). To calculate Average Number of Photons Detected, you need Quantum Efficiency (η), Average Received Optical Power (P_ou), Time Period (τ) & Frequency Of Incident Light (f). With our tool, you need to enter the respective value for Quantum Efficiency, Average Received Optical Power, Time Period & 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.

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