Gain Coefficient Calculator

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C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

Transmission Measurements

✖The Optical Confinement Factor is a property of a waveguide structure that describes how large or wide in space the light mode is, or where the light is confined.ⓘ Optical Confinement Factor [Γ]			+10% -10%
✖Material Gain Coefficient is a property of a material that describes the difference between the stimulated emission and absorption rates.ⓘ Material Gain Coefficient [g_m]			+10% -10%
✖The Effective Loss Coefficient is also referred to as the Loss Coefficient. It quantifies losses in a system, usually represented as “K”.ⓘ Effective Loss Coefficient [α]			+10% -10%

✖The Net Gain Coefficient Per Unit Length represents the net gain in the photon flux per unit length of the medium.ⓘ Gain Coefficient [g]

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Formula

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Gain Coefficient

Formula

`"g" = "Γ"*"g"_{"m"}-"α"`

Example

`"2.45"="0.1"*"30"-"0.55"`

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Gain Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient
g = Γ*g_m-α
This formula uses 4 Variables

Variables Used

Net Gain Coefficient Per Unit Length - The Net Gain Coefficient Per Unit Length represents the net gain in the photon flux per unit length of the medium.
Optical Confinement Factor - The Optical Confinement Factor is a property of a waveguide structure that describes how large or wide in space the light mode is, or where the light is confined.
Material Gain Coefficient - Material Gain Coefficient is a property of a material that describes the difference between the stimulated emission and absorption rates.
Effective Loss Coefficient - The Effective Loss Coefficient is also referred to as the Loss Coefficient. It quantifies losses in a system, usually represented as “K”.

STEP 1: Convert Input(s) to Base Unit

Optical Confinement Factor: 0.1 --> No Conversion Required
Material Gain Coefficient: 30 --> No Conversion Required
Effective Loss Coefficient: 0.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g = Γ*g_m-α --> 0.1*30-0.55

Evaluating ... ...

g = 2.45

STEP 3: Convert Result to Output's Unit

2.45 --> No Conversion Required

FINAL ANSWER

2.45 <-- Net Gain Coefficient Per Unit Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Fiber Optic Transmission » C-V Actions of Optics Transmission » Gain Coefficient

Credits

Created by Vaidehi Singh

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

Vaidehi Singh has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 17 C-V Actions of Optics Transmission Calculators

Noise Equivalent Power

Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)

Passband Ripple

Go Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2

ASE Noise Power

Go ASE Noise Power = Mode Number*Spontaneous Emission Factor*(Single Pass Gain-1)*([hP]*Frequency Of Incident Light)*Post Detection Bandwidth

Noise Figure given ASE Noise Power

Go Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth))

Output Photo Current

Go Photocurrent = Quantum Efficiency*Incident Optical Power*[Charge-e]/([hP]*Frequency Of Incident Light)

Peak Parametric Gain

Go Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))

Responsivity with reference of Wavelength

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])

Total Shot Noise

Go Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))

Responsivity in relation to Photon Energy

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)

Thermal Noise Current

Go Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity

Gain Coefficient

Go Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient

Junction Capacitance of Photodiode

Go Junction Capacitance = Permittivity of Semiconductor*Junction Area/Depletion Layer Width

Dark Current Noise

Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current

Load Resistor

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

Optical Gain of Phototransistor

Go Optical Gain of Phototransistor = Quantum Efficiency*Common Emitter Current Gain

PhotoConductive Gain

Go PhotoConductive Gain = Slow Carrier Transit Time/Fast Carrier Transit Time

Responsivity of Photodetector

Go Responsivity of Photodetector = Photocurrent/Incident Power

Gain Coefficient Formula

Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient
g = Γ*g_m-α

Why is Net Gain Coefficient important?

The net gain coefficient is a crucial parameter in optical systems, particularly in lasers and optical amplifier. The net gain coefficient quantifies the amplification in an optical system. It represents the difference between the losses due to stimulated absorption and the gain due to stimulated emission. The net gain coefficient directly impacts the performance of the optical system. A high net gain coefficient can lead to a stronger signal, while a low net gain coefficient might result in a weaker signal.

How to Calculate Gain Coefficient?

Gain Coefficient calculator uses Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient to calculate the Net Gain Coefficient Per Unit Length, The Gain Coefficient is a measure of the fractional change in light intensity per unit propagation distance. It represents the net gain in the photon flux per unit length of the medium. Net Gain Coefficient Per Unit Length is denoted by g symbol.

How to calculate Gain Coefficient using this online calculator? To use this online calculator for Gain Coefficient, enter Optical Confinement Factor (Γ), Material Gain Coefficient (g_m) & Effective Loss Coefficient (α) and hit the calculate button. Here is how the Gain Coefficient calculation can be explained with given input values -> 2.45 = 0.1*30-0.55.

FAQ

What is Gain Coefficient?

The Gain Coefficient is a measure of the fractional change in light intensity per unit propagation distance. It represents the net gain in the photon flux per unit length of the medium and is represented as g = Γ*g_m-α or Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient. The Optical Confinement Factor is a property of a waveguide structure that describes how large or wide in space the light mode is, or where the light is confined, Material Gain Coefficient is a property of a material that describes the difference between the stimulated emission and absorption rates & The Effective Loss Coefficient is also referred to as the Loss Coefficient. It quantifies losses in a system, usually represented as “K”.

How to calculate Gain Coefficient?

The Gain Coefficient is a measure of the fractional change in light intensity per unit propagation distance. It represents the net gain in the photon flux per unit length of the medium is calculated using Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient. To calculate Gain Coefficient, you need Optical Confinement Factor (Γ), Material Gain Coefficient (g_m) & Effective Loss Coefficient (α). With our tool, you need to enter the respective value for Optical Confinement Factor, Material Gain Coefficient & Effective Loss 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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