Noise Equivalent Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)
NEP = [hP]*[c]*sqrt(2*e*Id)/(η*e*λ)
This formula uses 2 Constants, 1 Functions, 5 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Noise Equivalent Power - (Measured in Watt) - Noise Equivalent Power measures the minimum detectable power or intensity of radiation, taking into account the inherent noise in the detector system.
Charge Of Particles - (Measured in Coulomb) - Charge Of Particles can have several values depending on the type of particle we are dealing with.
Dark Current - (Measured in Ampere) - Dark current is the electric current that flows through a photosensitive device, such as a photodetector, even when there is no incident light or photons striking the device.
Quantum Efficiency - Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
STEP 1: Convert Input(s) to Base Unit
Charge Of Particles: 14.02 Coulomb --> 14.02 Coulomb No Conversion Required
Dark Current: 11 Nanoampere --> 1.1E-08 Ampere (Check conversion ​here)
Quantum Efficiency: 0.3 --> No Conversion Required
Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NEP = [hP]*[c]*sqrt(2*e*Id)/(η*e*λ) --> [hP]*[c]*sqrt(2*14.02*1.1E-08)/(0.3*14.02*1.55E-06)
Evaluating ... ...
NEP = 1.69223668588226E-23
STEP 3: Convert Result to Output's Unit
1.69223668588226E-23 Watt --> No Conversion Required
FINAL ANSWER
1.69223668588226E-23 1.7E-23 Watt <-- Noise Equivalent Power
(Calculation completed in 00.004 seconds)

Credits

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Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has created this Calculator and 50+ more calculators!
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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17 C-V Actions of Optics Transmission Calculators

Noise Equivalent Power
​ Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)
Passband Ripple
​ Go Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2
ASE Noise Power
​ Go ASE Noise Power = Mode Number*Spontaneous Emission Factor*(Single Pass Gain-1)*([hP]*Frequency Of Incident Light)*Post Detection Bandwidth
Noise Figure given ASE Noise Power
​ Go Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth))
Output Photo Current
​ Go Photocurrent = Quantum Efficiency*Incident Optical Power*[Charge-e]/([hP]*Frequency Of Incident Light)
Peak Parametric Gain
​ Go Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))
Responsivity with reference of Wavelength
​ Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])
Total Shot Noise
​ Go Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))
Responsivity in relation to Photon Energy
​ Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)
Thermal Noise Current
​ Go Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity
Gain Coefficient
​ Go Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient
Junction Capacitance of Photodiode
​ Go Junction Capacitance = Permittivity of Semiconductor*Junction Area/Depletion Layer Width
Dark Current Noise
​ Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current
Load Resistor
​ Go Load Resistance = 1/(2*pi*Post Detection Bandwidth*Capacitance)
Optical Gain of Phototransistor
​ Go Optical Gain of Phototransistor = Quantum Efficiency*Common Emitter Current Gain
PhotoConductive Gain
​ Go PhotoConductive Gain = Slow Carrier Transit Time/Fast Carrier Transit Time
Responsivity of Photodetector
​ Go Responsivity of Photodetector = Photocurrent/Incident Power

Noise Equivalent Power Formula

Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)
NEP = [hP]*[c]*sqrt(2*e*Id)/(η*e*λ)

How Noise Equivalent Power is helpful?

Noise Equivalent Power (NEP) is crucial in photodetection as it determines the minimum optical power a photodetector can reliably detect while maintaining an acceptable signal-to-noise ratio. NEP is essential for selecting the right photodetector, comparing its performance to other detectors, and ensuring accurate signal detection in various applications.

How to Calculate Noise Equivalent Power?

Noise Equivalent Power calculator uses Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light) to calculate the Noise Equivalent Power, Noise Equivalent Power (NEP) is a measure of the minimum detectable optical power or intensity for a photodetector or photodetector system. It quantifies the sensitivity of the detector by expressing the level of incident optical power required to produce a signal-to-noise ratio of 1. Noise Equivalent Power is denoted by NEP symbol.

How to calculate Noise Equivalent Power using this online calculator? To use this online calculator for Noise Equivalent Power, enter Charge Of Particles (e), Dark Current (Id), Quantum Efficiency (η) & Wavelength of Light (λ) and hit the calculate button. Here is how the Noise Equivalent Power calculation can be explained with given input values -> 1.7E-23 = [hP]*[c]*sqrt(2*14.02*1.1E-08)/(0.3*14.02*1.55E-06).

FAQ

What is Noise Equivalent Power?
Noise Equivalent Power (NEP) is a measure of the minimum detectable optical power or intensity for a photodetector or photodetector system. It quantifies the sensitivity of the detector by expressing the level of incident optical power required to produce a signal-to-noise ratio of 1 and is represented as NEP = [hP]*[c]*sqrt(2*e*Id)/(η*e*λ) or Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light). Charge Of Particles can have several values depending on the type of particle we are dealing with, Dark current is the electric current that flows through a photosensitive device, such as a photodetector, even when there is no incident light or photons striking the device, Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent & Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
How to calculate Noise Equivalent Power?
Noise Equivalent Power (NEP) is a measure of the minimum detectable optical power or intensity for a photodetector or photodetector system. It quantifies the sensitivity of the detector by expressing the level of incident optical power required to produce a signal-to-noise ratio of 1 is calculated using Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light). To calculate Noise Equivalent Power, you need Charge Of Particles (e), Dark Current (Id), Quantum Efficiency (η) & Wavelength of Light (λ). With our tool, you need to enter the respective value for Charge Of Particles, Dark Current, Quantum Efficiency & Wavelength of Light 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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