Optical Gain of Phototransistors Calculator

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Optical Detectors

C-V Actions of Optics Transmission

Fiber Optic Parameters

Transmission Measurements

✖Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Wavelength of Light [λ]			+10% -10%
✖The Collector Current of Phototransistor is a measure of the sensitivity of the phototransistor. It describes the maximum allowable current load in the collector.ⓘ Collector Current of Phototransistor [I_col]			+10% -10%
✖Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector.ⓘ Incident Power [P_o]			+10% -10%

✖Optical Gain of Phototransistor is a measure of how well a medium amplifies photons by stimulated emission.ⓘ Optical Gain of Phototransistors [G_O]

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Formula

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Optical Gain of Phototransistors

Formula

`"G"_{"O"} = (("[hP]"*"[c]")/("λ"*"[Charge-e]"))*("I"_{"col"}/"P"_{"o"})`

Example

`"2.587099"=(("[hP]"*"[c]")/("1.55μm"*"[Charge-e]"))*("5.66µA"/"1.75µW")`

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Optical Gain of Phototransistors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)
G_O = (([hP]*[c])/(λ*[Charge-e]))*(I_col/P_o)
This formula uses 3 Constants, 4 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Optical Gain of Phototransistor - Optical Gain of Phototransistor is a measure of how well a medium amplifies photons by stimulated emission.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
Collector Current of Phototransistor - (Measured in Ampere) - The Collector Current of Phototransistor is a measure of the sensitivity of the phototransistor. It describes the maximum allowable current load in the collector.
Incident Power - (Measured in Watt) - Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)
Collector Current of Phototransistor: 5.66 Microampere --> 5.66E-06 Ampere (Check conversion here)
Incident Power: 1.75 Microwatt --> 1.75E-06 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_O = (([hP]*[c])/(λ*[Charge-e]))*(I_col/P_o) --> (([hP]*[c])/(1.55E-06*[Charge-e]))*(5.66E-06/1.75E-06)

Evaluating ... ...

G_O = 2.5870988299136

STEP 3: Convert Result to Output's Unit

2.5870988299136 --> No Conversion Required

FINAL ANSWER

2.5870988299136 ≈ 2.587099 <-- Optical Gain of Phototransistor

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

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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

Optical Gain of Phototransistors Formula

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

What is Optical Gain of Photodiodes?

Optical gain is a measure of the strength of optical amplification. It is a crucial requirement for the realization of a semiconductor laser as it describes the optical amplification in the semiconductor material. This optical gain is due to stimulated emission associated with light emission created by the recombination of electrons and holes.

How to Calculate Optical Gain of Phototransistors?

Optical Gain of Phototransistors calculator uses Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power) to calculate the Optical Gain of Phototransistor, The Optical Gain of Phototransistors refers to its efficiency in converting light into an amplified electrical signal. This gain is generated through transistor action: photogenerated excess carriers transport to the base layer and modulate its potential barrier, causing current multiplication of the majority carrier diffusing from the emitter (injector). Optical Gain of Phototransistor is denoted by G_O symbol.

How to calculate Optical Gain of Phototransistors using this online calculator? To use this online calculator for Optical Gain of Phototransistors, enter Wavelength of Light (λ), Collector Current of Phototransistor (I_col) & Incident Power (P_o) and hit the calculate button. Here is how the Optical Gain of Phototransistors calculation can be explained with given input values -> 2.587099 = (([hP]*[c])/(1.55E-06*[Charge-e]))*(5.66E-06/1.75E-06).

FAQ

What is Optical Gain of Phototransistors?

The Optical Gain of Phototransistors refers to its efficiency in converting light into an amplified electrical signal. This gain is generated through transistor action: photogenerated excess carriers transport to the base layer and modulate its potential barrier, causing current multiplication of the majority carrier diffusing from the emitter (injector) and is represented as G_O = (([hP]*[c])/(λ*[Charge-e]))*(I_col/P_o) or Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power). Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum, The Collector Current of Phototransistor is a measure of the sensitivity of the phototransistor. It describes the maximum allowable current load in the collector & Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector.

How to calculate Optical Gain of Phototransistors?

The Optical Gain of Phototransistors refers to its efficiency in converting light into an amplified electrical signal. This gain is generated through transistor action: photogenerated excess carriers transport to the base layer and modulate its potential barrier, causing current multiplication of the majority carrier diffusing from the emitter (injector) is calculated using Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power). To calculate Optical Gain of Phototransistors, you need Wavelength of Light (λ), Collector Current of Phototransistor (I_col) & Incident Power (P_o). With our tool, you need to enter the respective value for Wavelength of Light, Collector Current of Phototransistor & Incident Power 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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