Maximum Photodiode 3 dB Bandwidth Calculator

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Optical Detectors

C-V Actions of Optics Transmission

Fiber Optic Parameters

Transmission Measurements

✖Carrier Velocity in a photodiode refers to the speed at which charge carriers (either electrons or holes) move within the semiconductor material under the influence of an applied electric field.ⓘ Carrier Velocity [υ_d]			+10% -10%
✖The depletion Layer Width is the distance across the region near the p-n junction where mobile charge carriers (electrons and holes) have been significantly depleted or removed.ⓘ Depletion Layer Width [w]			+10% -10%

✖Maximum 3dB Bandwidth of the photodiode is the frequency at which the photodiode's response drops to -3 decibels (dB) or approximately 70.7% of its maximum response.ⓘ Maximum Photodiode 3 dB Bandwidth [B_m]

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Maximum Photodiode 3 dB Bandwidth

Formula

`"B"_{"m"} = "υ"_{"d"}/(2*pi*"w")`

Example

`"13.01534Hz"="736m/s"/(2*pi*"9m")`

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Maximum Photodiode 3 dB Bandwidth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)
B_m = υ_d/(2*pi*w)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum 3db Bandwidth - (Measured in Hertz) - Maximum 3dB Bandwidth of the photodiode is the frequency at which the photodiode's response drops to -3 decibels (dB) or approximately 70.7% of its maximum response.
Carrier Velocity - (Measured in Meter per Second) - Carrier Velocity in a photodiode refers to the speed at which charge carriers (either electrons or holes) move within the semiconductor material under the influence of an applied electric field.
Depletion Layer Width - (Measured in Meter) - The depletion Layer Width is the distance across the region near the p-n junction where mobile charge carriers (electrons and holes) have been significantly depleted or removed.

STEP 1: Convert Input(s) to Base Unit

Carrier Velocity: 736 Meter per Second --> 736 Meter per Second No Conversion Required
Depletion Layer Width: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_m = υ_d/(2*pi*w) --> 736/(2*pi*9)

Evaluating ... ...

B_m = 13.0153375684039

STEP 3: Convert Result to Output's Unit

13.0153375684039 Hertz --> No Conversion Required

FINAL ANSWER

13.0153375684039 ≈ 13.01534 Hertz <-- Maximum 3db Bandwidth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Fiber Optic Transmission » Optical Detectors » Maximum Photodiode 3 dB Bandwidth

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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Chandigarh University (CU), Punjab

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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

Maximum Photodiode 3 dB Bandwidth Formula

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

Why is Maximum Photodiode 3 dB Bandwidth required?

The maximum 3 dB bandwidth of a photodiode is crucial because it directly impacts the photodiode's ability to detect and respond to rapidly changing optical signals. This parameter is essential in applications such as optical communication, where it determines the data rate capacity and signal fidelity of the system.

How to Calculate Maximum Photodiode 3 dB Bandwidth?

Maximum Photodiode 3 dB Bandwidth calculator uses Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width) to calculate the Maximum 3db Bandwidth, Maximum Photodiode 3 dB Bandwidth of the photodiode is the frequency at which the photodiode's response drops to -3 decibels (dB) or approximately 70.7% of its maximum response. Maximum 3db Bandwidth is denoted by B_m symbol.

How to calculate Maximum Photodiode 3 dB Bandwidth using this online calculator? To use this online calculator for Maximum Photodiode 3 dB Bandwidth, enter Carrier Velocity (υ_d) & Depletion Layer Width (w) and hit the calculate button. Here is how the Maximum Photodiode 3 dB Bandwidth calculation can be explained with given input values -> 0.282942 = 736/(2*pi*9).

FAQ

What is Maximum Photodiode 3 dB Bandwidth?

Maximum Photodiode 3 dB Bandwidth of the photodiode is the frequency at which the photodiode's response drops to -3 decibels (dB) or approximately 70.7% of its maximum response and is represented as B_m = υ_d/(2*pi*w) or Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width). Carrier Velocity in a photodiode refers to the speed at which charge carriers (either electrons or holes) move within the semiconductor material under the influence of an applied electric field & The depletion Layer Width is the distance across the region near the p-n junction where mobile charge carriers (electrons and holes) have been significantly depleted or removed.

How to calculate Maximum Photodiode 3 dB Bandwidth?

Maximum Photodiode 3 dB Bandwidth of the photodiode is the frequency at which the photodiode's response drops to -3 decibels (dB) or approximately 70.7% of its maximum response is calculated using Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width). To calculate Maximum Photodiode 3 dB Bandwidth, you need Carrier Velocity (υ_d) & Depletion Layer Width (w). With our tool, you need to enter the respective value for Carrier Velocity & Depletion Layer Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum 3db Bandwidth?

In this formula, Maximum 3db Bandwidth uses Carrier Velocity & Depletion Layer Width. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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