Total Shot Noise Calculator

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C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

Transmission Measurements

✖Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.ⓘ Post Detection Bandwidth [B]			+10% -10%
✖Photocurrent is the electrical current produced by the photodetector when exposed to light.ⓘ Photocurrent [I_p]			+10% -10%
✖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.ⓘ Dark Current [I_d]			+10% -10%

✖Total shot noise is a type of random electrical noise particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise.ⓘ Total Shot Noise [i_TS]

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Formula

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Total Shot Noise

Formula

`"i"_{"TS"} = sqrt(2*"[Charge-e]"*"B"*("I"_{"p"}+"I"_{"d"}))`

Example

`"423.6081nA"=sqrt(2*"[Charge-e]"*"8e6Hz"*("70mA"+"11nA"))`

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Total Shot Noise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))
i_TS = sqrt(2*[Charge-e]*B*(I_p+I_d))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

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

Total Shot Noise - (Measured in Ampere) - Total shot noise is a type of random electrical noise particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise.
Post Detection Bandwidth - (Measured in Hertz) - Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.
Photocurrent - (Measured in Ampere) - Photocurrent is the electrical current produced by the photodetector when exposed to light.
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.

STEP 1: Convert Input(s) to Base Unit

Post Detection Bandwidth: 8000000 Hertz --> 8000000 Hertz No Conversion Required
Photocurrent: 70 Milliampere --> 0.07 Ampere (Check conversion here)
Dark Current: 11 Nanoampere --> 1.1E-08 Ampere (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_TS = sqrt(2*[Charge-e]*B*(I_p+I_d)) --> sqrt(2*[Charge-e]*8000000*(0.07+1.1E-08))

Evaluating ... ...

i_TS = 4.23608084953898E-07

STEP 3: Convert Result to Output's Unit

4.23608084953898E-07 Ampere -->423.608084953898 Nanoampere (Check conversion here)

FINAL ANSWER

423.608084953898 ≈ 423.6081 Nanoampere <-- Total Shot Noise

(Calculation completed in 00.007 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

Passya Saikeshav Reddy has verified this Calculator and 10+ more calculators!

< 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

Total Shot Noise Formula

Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))
i_TS = sqrt(2*[Charge-e]*B*(I_p+I_d))

Why is Total Shot Noise required ?

Total shot noise is essential in electronics because it sets a fundamental limit on the precision and accuracy of electronic systems. Understanding and managing shot noise is crucial for achieving high signal-to-noise ratios, especially in low-light conditions like photography and optical communication.

How to Calculate Total Shot Noise?

Total Shot Noise calculator uses Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)) to calculate the Total Shot Noise, Total shot noise is a type of random electrical noise that occurs in electronic devices and systems, particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise. Total Shot Noise is denoted by i_TS symbol.

How to calculate Total Shot Noise using this online calculator? To use this online calculator for Total Shot Noise, enter Post Detection Bandwidth (B), Photocurrent (I_p) & Dark Current (I_d) and hit the calculate button. Here is how the Total Shot Noise calculation can be explained with given input values -> 1.3E+13 = sqrt(2*[Charge-e]*8000000*(70+1.1E-08)).

FAQ

What is Total Shot Noise?

Total shot noise is a type of random electrical noise that occurs in electronic devices and systems, particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise and is represented as i_TS = sqrt(2*[Charge-e]*B*(I_p+I_d)) or Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)). Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal, Photocurrent is the electrical current produced by the photodetector when exposed to light & 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.

How to calculate Total Shot Noise?

Total shot noise is a type of random electrical noise that occurs in electronic devices and systems, particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise is calculated using Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)). To calculate Total Shot Noise, you need Post Detection Bandwidth (B), Photocurrent (I_p) & Dark Current (I_d). With our tool, you need to enter the respective value for Post Detection Bandwidth, Photocurrent & Dark Current 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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