Bandwidth Penalty Calculator

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Optical Detectors

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✖Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.ⓘ Capacitance [C]			+10% -10%

✖Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.ⓘ Bandwidth Penalty [B]

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Formula

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Bandwidth Penalty

Formula

`"B" = 1/(2*pi*"R"_{"L"}*"C")`

Example

`"8E^6Hz"=1/(2*pi*"3.31kΩ"*"6.01pF")`

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Bandwidth Penalty Solution

STEP 0: Pre-Calculation Summary

Formula Used

Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)
B = 1/(2*pi*R_L*C)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Load Resistance - (Measured in Ohm) - Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.
Capacitance - (Measured in Farad) - Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.

STEP 1: Convert Input(s) to Base Unit

Load Resistance: 3.31 Kilohm --> 3310 Ohm (Check conversion here)
Capacitance: 6.01 Picofarad --> 6.01E-12 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = 1/(2*pi*R_L*C) --> 1/(2*pi*3310*6.01E-12)

Evaluating ... ...

B = 8000509.87990285

STEP 3: Convert Result to Output's Unit

8000509.87990285 Hertz --> No Conversion Required

FINAL ANSWER

8000509.87990285 ≈ 8E+6 Hertz <-- Post Detection Bandwidth

(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

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

< 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

Bandwidth Penalty Formula

Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)
B = 1/(2*pi*R_L*C)

How is Bandwidth Penalty affected?

The bandwidth of a photodiode, or the bandwidth penalty it incurs, is influenced by several key factors. One of the primary determinants is the RC time constant of the photodiode circuit. This time constant is defined by the junction capacitance of the photodiode and the load resistance (RL) connected to it.

How to Calculate Bandwidth Penalty?

Bandwidth Penalty calculator uses Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance) to calculate the Post Detection Bandwidth, Bandwidth Penalty of a photodiode is the reduction in the available bandwidth or frequency response of an optical communication system or photodetection system due to the characteristics and limitations of the photodiode itself. Post Detection Bandwidth is denoted by B symbol.

How to calculate Bandwidth Penalty using this online calculator? To use this online calculator for Bandwidth Penalty, enter Load Resistance (R_L) & Capacitance (C) and hit the calculate button. Here is how the Bandwidth Penalty calculation can be explained with given input values -> 8E+6 = 1/(2*pi*3310*6.01E-12).

FAQ

What is Bandwidth Penalty?

Bandwidth Penalty of a photodiode is the reduction in the available bandwidth or frequency response of an optical communication system or photodetection system due to the characteristics and limitations of the photodiode itself and is represented as B = 1/(2*pi*R_L*C) or Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). Load resistance refers to the resistance that is connected to the output of an electronic component or circuit & Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.

How to calculate Bandwidth Penalty?

Bandwidth Penalty of a photodiode is the reduction in the available bandwidth or frequency response of an optical communication system or photodetection system due to the characteristics and limitations of the photodiode itself is calculated using Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). To calculate Bandwidth Penalty, you need Load Resistance (R_L) & Capacitance (C). With our tool, you need to enter the respective value for Load Resistance & Capacitance 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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