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External Quantum Efficiency Formula

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External Quantum Efficiency (EQE) is a measure used to quantify the efficiency of a photodetector or a semiconductor device in converting incident photons into electrical charge carriers. Check FAQs

η ext = (\frac{1}{4 \cdot π}) \cdot \int (T f [x] \cdot (2 \cdot π \cdot \sin (x)), x, 0, θ c)

η_ext - External Quantum Efficiency?T_f[x] - Fresnel Transmissivity?θ_c - Cone of Acceptance Angle?π - Archimedes' constant?

External Quantum Efficiency Example

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Here is how the External Quantum Efficiency equation looks like with Values.

Here is how the External Quantum Efficiency equation looks like with Units.

Here is how the External Quantum Efficiency equation looks like.

3.383 = (\frac{1}{4 \cdot 3.1416}) \cdot \int (8 \cdot (2 \cdot 3.1416 \cdot \sin (x)), x, 0, 30)

3.383 = (\frac{1}{4 \cdot 3.1416}) \cdot \int (8 \cdot (2 \cdot 3.1416 \cdot \sin (x)), x, 0, 30rad)

3.383 = (\frac{1}{4 \cdot 3.1416}) \cdot \int (8 \cdot (2 \cdot 3.1416 \cdot \sin (x)), x, 0, 30)

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External Quantum Efficiency Solution

Follow our step by step solution on how to calculate External Quantum Efficiency?

FIRST Step Consider the formula

η ext = (\frac{1}{4 \cdot π}) \cdot \int (T f [x] \cdot (2 \cdot π \cdot \sin (x)), x, 0, θ c)

Next Step Substitute values of Variables

∴

η ext = (\frac{1}{4 \cdot π}) \cdot \int (8 \cdot (2 \cdot π \cdot \sin (x)), x, 0, 30rad)

Next Step Substitute values of Constants

∴

η ext = (\frac{1}{4 \cdot 3.1416}) \cdot \int (8 \cdot (2 \cdot 3.1416 \cdot \sin (x)), x, 0, 30rad)

Next Step Prepare to Evaluate

∴

η ext = (\frac{1}{4 \cdot 3.1416}) \cdot \int (8 \cdot (2 \cdot 3.1416 \cdot \sin (x)), x, 0, 30)

Next Step Evaluate

∴

η ext = 3.38299418568089

LAST Step Rounding Answer

∴

η ext = 3.383

External Quantum Efficiency Formula Elements

Variables

Constants

Functions

External Quantum Efficiency

External Quantum Efficiency (EQE) is a measure used to quantify the efficiency of a photodetector or a semiconductor device in converting incident photons into electrical charge carriers.

Symbol: η_ext

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find External Quantum Efficiency

Fresnel Transmissivity

Fresnel transmissivity is a dimensionless quantity that represents the fraction of incident light energy that is transmitted through an interface between two media with different refractive indices.

Symbol: T_f[x]

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fresnel Transmissivity

Cone of Acceptance Angle

Cone of Acceptance Angle typically refers to the angular range within which a photodetector can efficiently capture incident photons.

Symbol: θ_c

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Cone of Acceptance Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Fiber Modelling Parameters category

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

How to Evaluate External Quantum Efficiency?

External Quantum Efficiency evaluator uses External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle) to evaluate the External Quantum Efficiency, The External Quantum Efficiency formula is defined as the measure used to quantify the efficiency of a photodetector or a semiconductor device in converting incident photons into electrical charge carriers. In the context of fiber optic communication, photodetectors are crucial components used to convert optical signals carried by the fiber optic cable into electrical signals that can be processed by electronic devices. External Quantum Efficiency is denoted by η_ext symbol.

How to evaluate External Quantum Efficiency using this online evaluator? To use this online evaluator for External Quantum Efficiency, enter Fresnel Transmissivity (T_f[x]) & Cone of Acceptance Angle (θ_c) and hit the calculate button.

FAQs on External Quantum Efficiency

What is the formula to find External Quantum Efficiency?

The formula of External Quantum Efficiency is expressed as External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle). Here is an example- 3.382994 = (1/(4*pi))*int(8*(2*pi*sin(x)),x,0,30).

How to calculate External Quantum Efficiency?

With Fresnel Transmissivity (T_f[x]) & Cone of Acceptance Angle (θ_c) we can find External Quantum Efficiency using the formula - External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle). This formula also uses Archimedes' constant and , Sine (sin), Definite Integral (int) function(s).

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External Quantum Efficiency Formula

External Quantum Efficiency Example

External Quantum Efficiency Solution

External Quantum Efficiency Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate External Quantum Efficiency?

FAQs on External Quantum Efficiency

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