LCM of three numbers

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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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 00.004 seconds)

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Dayananda Sagar College Of Engineering (DSCE), Banglore

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LaTeX Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)

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Dark Current Noise

LaTeX Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current

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Total Shot Noise Formula

LaTeX Go

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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