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Probability of Detecting Photons Calculator

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✖The variance of probability distribution function is a measure of how data points differ from the mean in probability and statistics.ⓘ Variance of Probability Distribution Function [z_var]			+10% -10%
✖Number of Incident Photons refers to the quantity of individual photons (particles of light) that strike or interact with a surface, detector, or material within a given period or area.ⓘ Number of Incident Photons [N_p]			+10% -10%

✖The probability of finding a photon can be regarded as a probability function whose intensity at any point in space defines the probability of finding a photon there.ⓘ Probability of Detecting Photons [P_(z)]

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Probability of Detecting Photons Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)
P_(z) = ((z_var^(N_p))*exp(-z_var))/(N_p!)
This formula uses 1 Functions, 3 Variables

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

Probability of Finding a Photon - The probability of finding a photon can be regarded as a probability function whose intensity at any point in space defines the probability of finding a photon there.
Variance of Probability Distribution Function - The variance of probability distribution function is a measure of how data points differ from the mean in probability and statistics.
Number of Incident Photons - Number of Incident Photons refers to the quantity of individual photons (particles of light) that strike or interact with a surface, detector, or material within a given period or area.

STEP 1: Convert Input(s) to Base Unit

Variance of Probability Distribution Function: 2.3 --> No Conversion Required
Number of Incident Photons: 6.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_(z) = ((z_var^(N_p))*exp(-z_var))/(N_p!) --> ((2.3^(6.25))*exp(-2.3))/(6.25!)

Evaluating ... ...

P_(z) = 0.0253857015728346

STEP 3: Convert Result to Output's Unit

0.0253857015728346 --> No Conversion Required

FINAL ANSWER

0.0253857015728346 ≈ 0.025386 <-- Probability of Finding a Photon

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

Vaidehi Singh has created this Calculator and 25+ more calculators!

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Chandigarh University (CU), Punjab

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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

Probability of Detecting Photons Formula

LaTeX Go

What is Probability of Detecting Photons?

Probability is a branch of mathematics that deals with the likelihood of occurrence of an event. It is a measure of the likelihood of an event to occur.
In fiber optics, the probability of finding a photon in fiber optics can be understood from the perspective of wave-particle duality. The light waves, as electromagnetic continuous waves, can be regarded as a probability function whose intensity at any point in space defines the probability of finding a photon there.

How to Calculate Probability of Detecting Photons?

Probability of Detecting Photons calculator uses Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!) to calculate the Probability of Finding a Photon, The Probability of Detecting Photons is a measure of the likelihood of an event to occur. The probability of an event is a number between 0 and 1. Here, 0 indicates that an event will not occur, and 1 indicates that an event is certain to occur. According to this logic, the probability of finding a photon is the possibility of that photon being present. This probability can be computed by this equation. Probability of Finding a Photon is denoted by P_(z) symbol.

How to calculate Probability of Detecting Photons using this online calculator? To use this online calculator for Probability of Detecting Photons, enter Variance of Probability Distribution Function (z_var) & Number of Incident Photons (N_p) and hit the calculate button. Here is how the Probability of Detecting Photons calculation can be explained with given input values -> 0.025386 = ((2.3^(6.25))*exp(-2.3))/(6.25!).

FAQ

What is Probability of Detecting Photons?

The Probability of Detecting Photons is a measure of the likelihood of an event to occur. The probability of an event is a number between 0 and 1. Here, 0 indicates that an event will not occur, and 1 indicates that an event is certain to occur. According to this logic, the probability of finding a photon is the possibility of that photon being present. This probability can be computed by this equation and is represented as P_(z) = ((z_var^(N_p))*exp(-z_var))/(N_p!) or Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!). The variance of probability distribution function is a measure of how data points differ from the mean in probability and statistics & Number of Incident Photons refers to the quantity of individual photons (particles of light) that strike or interact with a surface, detector, or material within a given period or area.

How to calculate Probability of Detecting Photons?

The Probability of Detecting Photons is a measure of the likelihood of an event to occur. The probability of an event is a number between 0 and 1. Here, 0 indicates that an event will not occur, and 1 indicates that an event is certain to occur. According to this logic, the probability of finding a photon is the possibility of that photon being present. This probability can be computed by this equation is calculated using Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!). To calculate Probability of Detecting Photons, you need Variance of Probability Distribution Function (z_var) & Number of Incident Photons (N_p). With our tool, you need to enter the respective value for Variance of Probability Distribution Function & Number of Incident Photons 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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