External Quantum Efficiency Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖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.ⓘ Fresnel Transmissivity [T_f[x]]			+10% -10%
✖Cone of Acceptance Angle typically refers to the angular range within which a photodetector can efficiently capture incident photons.ⓘ Cone of Acceptance Angle [θ_c]			+10% -10%

✖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.ⓘ External Quantum Efficiency [η_ext]

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Formula

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External Quantum Efficiency

Formula

`"η"_{"ext"} = (1/(4*pi))*int(("T"_{"f"}"[x]")*(2*pi*sin(x)),x,0,"θ"_{"c"})`

Example

`"3.382994"=(1/(4*pi))*int("8"*(2*pi*sin(x)),x,0,"30rad")`

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External Quantum Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)
η_ext = (1/(4*pi))*int(T_f[x]*(2*pi*sin(x)),x,0,θ_c)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., int(expr, arg, from, to)

Variables Used

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.
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.
Cone of Acceptance Angle - (Measured in Radian) - Cone of Acceptance Angle typically refers to the angular range within which a photodetector can efficiently capture incident photons.

STEP 1: Convert Input(s) to Base Unit

Fresnel Transmissivity: 8 --> No Conversion Required
Cone of Acceptance Angle: 30 Radian --> 30 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_ext = (1/(4*pi))*int(T_f[x]*(2*pi*sin(x)),x,0,θ_c) --> (1/(4*pi))*int(8*(2*pi*sin(x)),x,0,30)

Evaluating ... ...

η_ext = 3.38299418568089

STEP 3: Convert Result to Output's Unit

3.38299418568089 --> No Conversion Required

FINAL ANSWER

3.38299418568089 ≈ 3.382994 <-- External Quantum Efficiency

(Calculation completed in 00.144 seconds)

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Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

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< 19 Fiber Modelling Parameters Calculators

Total Amplifier Gain for EDFA

Go Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber))

Photo Current Generated to Incident Optical Power

Go Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel)

Phase Shift of Jth Channel

Go Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal))

External Quantum Efficiency

Go External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)

Effective Interaction Length

Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss

Non Linear Phase Shift

Go Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)

Optical Dispersion

Go Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2

Diameter of Fiber

Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)

Number of Modes

Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

Power Loss in Fiber

Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)

Gaussian Pulse

Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)

Brillouin Shift

Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength

Modal Birefringence Degree

Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)

Rayleigh Scattering

Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)

Beat Length

Go Beat Length = Wavelength of Light/Modal Birefringence Degree

Group Velocity

Go Group Velocity = Length of Fiber/Group Delay

Fiber Length

Go Length of Fiber = Group Velocity*Group Delay

Fiber Attenuation Coefficient

Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

Go Number of Modes = Normalized Frequency^2/2

External Quantum Efficiency Formula

External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)
η_ext = (1/(4*pi))*int(T_f[x]*(2*pi*sin(x)),x,0,θ_c)

What is the purpose of calculating External Quantum Efficiency?

Calculating the external quantum efficiency provides valuable insights into the performance, design, and optimization of photodetectors, enabling advancements in a wide range of technological applications. By understanding the factors influencing EQE, such as material properties, design parameters, and operating conditions, researchers and engineers can optimize the design of photodetectors to maximize their efficiency and sensitivity.

How to Calculate External Quantum Efficiency?

External Quantum Efficiency calculator uses External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle) to calculate 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 calculate External Quantum Efficiency using this online calculator? To use this online calculator for External Quantum Efficiency, enter Fresnel Transmissivity (T_f[x]) & Cone of Acceptance Angle (θ_c) and hit the calculate button. Here is how the External Quantum Efficiency calculation can be explained with given input values -> 3.382994 = (1/(4*pi))*int(8*(2*pi*sin(x)),x,0,30).

FAQ

What is 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 and is represented as η_ext = (1/(4*pi))*int(T_f[x]*(2*pi*sin(x)),x,0,θ_c) or External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle). 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 & Cone of Acceptance Angle typically refers to the angular range within which a photodetector can efficiently capture incident photons.

How to calculate 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 is calculated using External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle). To calculate External Quantum Efficiency, you need Fresnel Transmissivity (T_f[x]) & Cone of Acceptance Angle (θ_c). With our tool, you need to enter the respective value for Fresnel Transmissivity & Cone of Acceptance Angle 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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