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Average Number of Photons Detected Formula

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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. Check FAQs

z m = \frac{η \cdot P ou \cdot τ}{f \cdot [hP]}

z_m - Average Number Of Photons Detected?η - Quantum Efficiency?P_ou - Average Received Optical Power?τ - Time Period?f - Frequency Of Incident Light?[hP] - Planck constant?

Average Number of Photons Detected Example

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Here is how the Average Number of Photons Detected equation looks like with Values.

Here is how the Average Number of Photons Detected equation looks like with Units.

Here is how the Average Number of Photons Detected equation looks like.

20.6152 = \frac{0.3 \cdot 6.5E-11 \cdot 14.01}{20 \cdot 6.6E-34}

20.6152 = \frac{0.3 \cdot 6.5E-11pW \cdot 14.01ns}{20Hz \cdot 6.6E-34}

20.6152 = \frac{0.3 \cdot 6.5E-11 \cdot 14.01}{20 \cdot 6.6E-34}

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Average Number of Photons Detected Solution

Follow our step by step solution on how to calculate Average Number of Photons Detected?

FIRST Step Consider the formula

z m = \frac{η \cdot P ou \cdot τ}{f \cdot [hP]}

Next Step Substitute values of Variables

∴

z m = \frac{0.3 \cdot 6.5E-11pW \cdot 14.01ns}{20Hz \cdot [hP]}

Next Step Substitute values of Constants

∴

z m = \frac{0.3 \cdot 6.5E-11pW \cdot 14.01ns}{20Hz \cdot 6.6E-34}

Next Step Convert Units

∴

z m = \frac{0.3 \cdot 6.5E-23W \cdot 1.4E-8s}{20Hz \cdot 6.6E-34}

Next Step Prepare to Evaluate

∴

z m = \frac{0.3 \cdot 6.5E-23 \cdot 1.4E-8}{20 \cdot 6.6E-34}

Next Step Evaluate

∴

z m = 20.6151608986011

LAST Step Rounding Answer

∴

z m = 20.6152

Average Number of Photons Detected Formula Elements

Variables

Constants

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.

Symbol: z_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Average Number Of Photons Detected

Quantum Efficiency

Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Quantum Efficiency

Average Received Optical Power

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.

Symbol: P_ou

Measurement: PowerUnit: pW

Note: Value should be greater than 0.

Formulas to find Average Received Optical Power

Time Period

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.

Symbol: τ

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Time Period

Frequency Of Incident Light

Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency Of Incident Light

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other formulas in Optical Detectors category

Go Quantum Efficiency of Photodetector

η = \frac{N e}{N p}

Go Incident Photon Rate

R i = \frac{P i}{[hP] \cdot F i}

Go Electron Rate in Detector

R p = η \cdot R i

Go Long Wavelength Cutoff Point

λ c = [hP] \cdot \frac{[c]}{E g}

How to Evaluate Average Number of Photons Detected?

Average Number of Photons Detected evaluator uses Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]) to evaluate 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 evaluate Average Number of Photons Detected using this online evaluator? To use this online evaluator 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.

FAQs on Average Number of Photons Detected

What is the formula to find Average Number of Photons Detected?

The formula of Average Number of Photons Detected is expressed as Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]). Here is an example- 20.60045 = (0.3*6.5E-23*1.401E-08)/(20*[hP]).

How to calculate Average Number of Photons Detected?

With Quantum Efficiency (η), Average Received Optical Power (P_ou), Time Period (τ) & Frequency Of Incident Light (f) we can find Average Number of Photons Detected using the formula - Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP]). This formula also uses Planck constant .

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Average Number of Photons Detected Formula

Average Number of Photons Detected Example

Average Number of Photons Detected Solution

Average Number of Photons Detected Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Average Number of Photons Detected?

FAQs on Average Number of Photons Detected

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