3 dB Bandwidth of Metal Photodetectors Calculator

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Optical Detectors

C-V Actions of Optics Transmission

Fiber Optic Parameters

Transmission Measurements

✖Transit time is the duration for a charge carrier to move from where it's created in the photodetector's semiconductor material to where it's collected by the electrodes.ⓘ Transit Time [t_s]

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✖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.ⓘ 3 dB Bandwidth of Metal Photodetectors [B_m]

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Formula

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3 dB Bandwidth of Metal Photodetectors

Formula

`"B"_{"m"} = 1/(2*pi*"t"_{"s"})`

Example

`"0.013252Hz"=1/(2*pi*"12.01s")`

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3 dB Bandwidth of Metal Photodetectors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum 3db Bandwidth = 1/(2*pi*Transit Time)
B_m = 1/(2*pi*t_s)
This formula uses 1 Constants, 2 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.
Transit Time - (Measured in Second) - Transit time is the duration for a charge carrier to move from where it's created in the photodetector's semiconductor material to where it's collected by the electrodes.

STEP 1: Convert Input(s) to Base Unit

Transit Time: 12.01 Second --> 12.01 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_m = 1/(2*pi*t_s) --> 1/(2*pi*12.01)

Evaluating ... ...

B_m = 0.0132518687004076

STEP 3: Convert Result to Output's Unit

0.0132518687004076 Hertz --> No Conversion Required

FINAL ANSWER

0.0132518687004076 ≈ 0.013252 Hertz <-- Maximum 3db Bandwidth

(Calculation completed in 00.004 seconds)

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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

3 dB Bandwidth of Metal Photodetectors Formula

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

How does Bandwidth vary with respect to transit time of the photodetectors?

3 dB bandwidth varies inversely w.r.t the transit time ( t_s ) can be a major factor in order to find the maximum bandwidth of the metal photodetector.

How to Calculate 3 dB Bandwidth of Metal Photodetectors?

3 dB Bandwidth of Metal Photodetectors calculator uses Maximum 3db Bandwidth = 1/(2*pi*Transit Time) to calculate the Maximum 3db Bandwidth, 3 dB Bandwidth of Metal Photodetectors is the common metric used to describe the frequency response or the gain response of the photodetector. In other words, it's the frequency range over which the photodetector can accurately detect and respond to changes in light intensity. Maximum 3db Bandwidth is denoted by B_m symbol.

How to calculate 3 dB Bandwidth of Metal Photodetectors using this online calculator? To use this online calculator for 3 dB Bandwidth of Metal Photodetectors, enter Transit Time (t_s) and hit the calculate button. Here is how the 3 dB Bandwidth of Metal Photodetectors calculation can be explained with given input values -> 0.013263 = 1/(2*pi*12.01).

FAQ

What is 3 dB Bandwidth of Metal Photodetectors?

3 dB Bandwidth of Metal Photodetectors is the common metric used to describe the frequency response or the gain response of the photodetector. In other words, it's the frequency range over which the photodetector can accurately detect and respond to changes in light intensity and is represented as B_m = 1/(2*pi*t_s) or Maximum 3db Bandwidth = 1/(2*pi*Transit Time). Transit time is the duration for a charge carrier to move from where it's created in the photodetector's semiconductor material to where it's collected by the electrodes.

How to calculate 3 dB Bandwidth of Metal Photodetectors?

3 dB Bandwidth of Metal Photodetectors is the common metric used to describe the frequency response or the gain response of the photodetector. In other words, it's the frequency range over which the photodetector can accurately detect and respond to changes in light intensity is calculated using Maximum 3db Bandwidth = 1/(2*pi*Transit Time). To calculate 3 dB Bandwidth of Metal Photodetectors, you need Transit Time (t_s). With our tool, you need to enter the respective value for Transit Time 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 Transit Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)
Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

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