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])
zm = (η*Pou*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
zm = (η*Pou*τ)/(f*[hP]) --> (0.3*6.5E-23*1.401E-08)/(20*[hP])
Evaluating ... ...
zm = 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)

Credits

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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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Optical Detectors Calculators

Incident Photon Rate
​ LaTeX ​ Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)
Long Wavelength Cutoff Point
​ LaTeX ​ Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy
Quantum Efficiency of Photodetector
​ LaTeX ​ Go Quantum Efficiency = Number of Electrons/Number of Incident Photons
Electron Rate in Detector
​ LaTeX ​ Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Average Number of Photons Detected Formula

​LaTeX ​Go
Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])
zm = (η*Pou*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 zm 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 (Pou), 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 zm = (η*Pou*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 (Pou), 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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