Excess Avalanche Noise Factor Calculator

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Optical Detectors

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✖Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode.ⓘ Multiplication Factor [M]			+10% -10%
✖Impact Ionization Coefficient is a parameter that characterizes the probability of impact ionization events in avalanche photodiodes (APDs).ⓘ Impact Ionization Coefficient [k]			+10% -10%

✖Excess Avalanche Noise Factor represents the additional noise introduced due to the avalanche multiplication process that occurs in these devices.ⓘ Excess Avalanche Noise Factor [F]

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Formula

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Excess Avalanche Noise Factor

Formula

`"F" = "M"*(1+((1-"k")/"k")*(("M"-1)/"M")^2)`

Example

`"6.045455"="2"*(1+((1-"0.11")/"0.11")*(("2"-1)/"2")^2)`

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Excess Avalanche Noise Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)
F = M*(1+((1-k)/k)*((M-1)/M)^2)
This formula uses 3 Variables

Variables Used

Excess Avalanche Noise Factor - Excess Avalanche Noise Factor represents the additional noise introduced due to the avalanche multiplication process that occurs in these devices.
Multiplication Factor - Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode.
Impact Ionization Coefficient - Impact Ionization Coefficient is a parameter that characterizes the probability of impact ionization events in avalanche photodiodes (APDs).

STEP 1: Convert Input(s) to Base Unit

Multiplication Factor: 2 --> No Conversion Required
Impact Ionization Coefficient: 0.11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = M*(1+((1-k)/k)*((M-1)/M)^2) --> 2*(1+((1-0.11)/0.11)*((2-1)/2)^2)

Evaluating ... ...

F = 6.04545454545455

STEP 3: Convert Result to Output's Unit

6.04545454545455 --> No Conversion Required

FINAL ANSWER

6.04545454545455 ≈ 6.045455 <-- Excess Avalanche Noise Factor

(Calculation completed in 00.004 seconds)

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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!

Verified by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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< 25 Optical Detectors Calculators

SNR of Good Avalanche Photodiode ADP Receiver in decibels

Go Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance)))

Photocurrent due to Incident Light

Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))

Probability of Detecting Photons

Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)

Excess Avalanche Noise Factor

Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)

Total Photodiode Current

Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent

Optical Gain of Phototransistors

Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)

Average Number of Photons Detected

Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])

Single Pass Phase Shift through Fabry-Perot Amplifier

Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer

Total Root Mean Square Noise Current

Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)

Average Received Optical Power

Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)

Total Power Accepted by Fiber

Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))

Multiplied Photocurrent

Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power

Temperature Effect on Dark Current

Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Maximum Photodiode 3 dB Bandwidth

Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)

Maximum 3dB Bandwidth of Metal Photodetector

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

Bandwidth Penalty

Go Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Multiplication Factor

Go Multiplication Factor = Output Current/Initial Photocurrent

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Transit Time with respect to Minority Carrier Diffusion

Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)

Longest Transit Time

Go Transit Time = Depletion Layer Width/Drift Velocity

3 dB Bandwidth of Metal Photodetectors

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)

Detectivity of Photodetector

Go Detectivity = 1/Noise Equivalent Power

Excess Avalanche Noise Factor Formula

Why is Excess Avalanche Noise Factor important?

The excess avalanche noise factor (F) is important because it quantifies the additional noise introduced during the amplification of photocurrent in avalanche photodiodes (APDs). It provides a crucial measure of the device's noise performance

How to Calculate Excess Avalanche Noise Factor?

Excess Avalanche Noise Factor calculator uses Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2) to calculate the Excess Avalanche Noise Factor, Excess Avalanche Noise Factor is a parameter used to quantify the noise characteristics of avalanche photodiodes (APDs) or avalanche photodetectors. It represents the additional noise introduced due to the avalanche multiplication process that occurs in these devices. Excess Avalanche Noise Factor is denoted by F symbol.

How to calculate Excess Avalanche Noise Factor using this online calculator? To use this online calculator for Excess Avalanche Noise Factor, enter Multiplication Factor (M) & Impact Ionization Coefficient (k) and hit the calculate button. Here is how the Excess Avalanche Noise Factor calculation can be explained with given input values -> 6.045455 = 2*(1+((1-0.11)/0.11)*((2-1)/2)^2).

FAQ

What is Excess Avalanche Noise Factor?

Excess Avalanche Noise Factor is a parameter used to quantify the noise characteristics of avalanche photodiodes (APDs) or avalanche photodetectors. It represents the additional noise introduced due to the avalanche multiplication process that occurs in these devices and is represented as F = M*(1+((1-k)/k)*((M-1)/M)^2) or Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2). Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode & Impact Ionization Coefficient is a parameter that characterizes the probability of impact ionization events in avalanche photodiodes (APDs).

How to calculate Excess Avalanche Noise Factor?

Excess Avalanche Noise Factor is a parameter used to quantify the noise characteristics of avalanche photodiodes (APDs) or avalanche photodetectors. It represents the additional noise introduced due to the avalanche multiplication process that occurs in these devices is calculated using Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2). To calculate Excess Avalanche Noise Factor, you need Multiplication Factor (M) & Impact Ionization Coefficient (k). With our tool, you need to enter the respective value for Multiplication Factor & Impact Ionization Coefficient 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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