FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Probability of Detecting Photons Formula

Fx Copy

LaTeX Copy

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. Check FAQs

P (z) = \frac{({z var}^{N p}) \cdot \exp (- z var)}{N p!}

P_(z) - Probability of Finding a Photon?z_var - Variance of Probability Distribution Function?N_p - Number of Incident Photons?

Probability of Detecting Photons Example

With values

With units

Only example

Here is how the Probability of Detecting Photons equation looks like with Values.

Here is how the Probability of Detecting Photons equation looks like with Units.

Here is how the Probability of Detecting Photons equation looks like.

0.0254 = \frac{({2.3}^{6.25}) \cdot \exp (- 2.3)}{6.25!}

0.0254 = \frac{({2.3}^{6.25}) \cdot \exp (- 2.3)}{6.25!}

0.0254 = \frac{({2.3}^{6.25}) \cdot \exp (- 2.3)}{6.25!}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Fiber Optic Transmission » fx Probability of Detecting Photons

Probability of Detecting Photons Solution

Follow our step by step solution on how to calculate Probability of Detecting Photons?

FIRST Step Consider the formula

P (z) = \frac{({z var}^{N p}) \cdot \exp (- z var)}{N p!}

Next Step Substitute values of Variables

∴

P (z) = \frac{({2.3}^{6.25}) \cdot \exp (- 2.3)}{6.25!}

Next Step Prepare to Evaluate

∴

P (z) = \frac{({2.3}^{6.25}) \cdot \exp (- 2.3)}{6.25!}

Next Step Evaluate

∴

P (z) = 0.0253857015728346

LAST Step Rounding Answer

∴

P (z) = 0.0254

Probability of Detecting Photons Formula Elements

Variables

Functions

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.

Symbol: P_(z)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability of Finding a Photon

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.

Symbol: z_var

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Variance of Probability Distribution Function

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.

Symbol: N_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Incident Photons

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

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 Probability of Detecting Photons?

Probability of Detecting Photons evaluator 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 evaluate 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 evaluate Probability of Detecting Photons using this online evaluator? To use this online evaluator for Probability of Detecting Photons, enter Variance of Probability Distribution Function (z_var) & Number of Incident Photons (N_p) and hit the calculate button.

FAQs on Probability of Detecting Photons

What is the formula to find Probability of Detecting Photons?

The formula of Probability of Detecting Photons is expressed as Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!). Here is an example- 0.025386 = ((2.3^(6.25))*exp(-2.3))/(6.25!).

How to calculate Probability of Detecting Photons?

With Variance of Probability Distribution Function (z_var) & Number of Incident Photons (N_p) we can find Probability of Detecting Photons using the formula - Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!). This formula also uses Exponential Growth (exp) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Probability of Detecting Photons Formula

Probability of Detecting Photons Example

Probability of Detecting Photons Solution

Probability of Detecting Photons Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Probability of Detecting Photons?

FAQs on Probability of Detecting Photons

Variable Name