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Gain Coefficient Formula

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The Net Gain Coefficient Per Unit Length represents the net gain in the photon flux per unit length of the medium. Check FAQs

g = Γ \cdot g m - α

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

Gain Coefficient Example

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Here is how the Gain Coefficient equation looks like with Values.

Here is how the Gain Coefficient equation looks like with Units.

Here is how the Gain Coefficient equation looks like.

2.45 = 0.1 \cdot 30 - 0.55

2.45 = 0.1 \cdot 30 - 0.55

2.45 = 0.1 \cdot 30 - 0.55

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Gain Coefficient Solution

Follow our step by step solution on how to calculate Gain Coefficient?

FIRST Step Consider the formula

g = Γ \cdot g m - α

Next Step Substitute values of Variables

∴

g = 0.1 \cdot 30 - 0.55

Next Step Prepare to Evaluate

∴

g = 0.1 \cdot 30 - 0.55

LAST Step Evaluate

∴

g = 2.45

Gain Coefficient Formula Elements

Variables

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.

Symbol: g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Net Gain Coefficient Per Unit Length

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.

Symbol: Γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Optical Confinement Factor

Material Gain Coefficient

Material Gain Coefficient is a property of a material that describes the difference between the stimulated emission and absorption rates.

Symbol: g_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Gain Coefficient

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”.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Loss Coefficient

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How to Evaluate Gain Coefficient?

Gain Coefficient evaluator uses Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient to evaluate 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 evaluate Gain Coefficient using this online evaluator? To use this online evaluator for Gain Coefficient, enter Optical Confinement Factor (Γ), Material Gain Coefficient (g_m) & Effective Loss Coefficient (α) and hit the calculate button.

FAQs on Gain Coefficient

What is the formula to find Gain Coefficient?

The formula of Gain Coefficient is expressed as Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient. Here is an example- 2.45 = 0.1*30-0.55.

How to calculate Gain Coefficient?

With Optical Confinement Factor (Γ), Material Gain Coefficient (g_m) & Effective Loss Coefficient (α) we can find Gain Coefficient using the formula - Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient.

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Gain Coefficient Formula

Gain Coefficient Example

Gain Coefficient Solution

Gain Coefficient Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Gain Coefficient?

FAQs on Gain Coefficient

Variable Name