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Total Amplifier Gain for EDFA Formula

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Total Amplifier Gain for an EDFA is a crucial parameter in determining the performance and efficiency of an EDFA in boosting optical signals in fiber optic communication systems. Check FAQs

G = Γ s \cdot \exp (\int ((σs e \cdot N 2 - σs a \cdot N 1) \cdot x, x, 0, L))

G - Total Amplifier Gain for an EDFA?Γ_s - Confinement Factor?σs^e - Emission Cross Section?N₂ - Population Density of Higher Energy Level?σs^a - Absorption Cross Section?N₁ - Population Density of Lower Energy Level?L - Length of Fiber?

Total Amplifier Gain for EDFA Example

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Here is how the Total Amplifier Gain for EDFA equation looks like with Values.

Here is how the Total Amplifier Gain for EDFA equation looks like with Units.

Here is how the Total Amplifier Gain for EDFA equation looks like.

4.7E-35 = 20 \cdot \exp (\int ((15 \cdot 13 - 25 \cdot 12) \cdot x, x, 0, 1.25))

4.7E-35 = 20 \cdot \exp (\int ((15m² \cdot 13Hundred/m² - 25m² \cdot 12Hundred/m²) \cdot x, x, 0, 1.25m))

4.7E-35 = 20 \cdot \exp (\int ((15 \cdot 13 - 25 \cdot 12) \cdot x, x, 0, 1.25))

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Total Amplifier Gain for EDFA Solution

Follow our step by step solution on how to calculate Total Amplifier Gain for EDFA?

FIRST Step Consider the formula

G = Γ s \cdot \exp (\int ((σs e \cdot N 2 - σs a \cdot N 1) \cdot x, x, 0, L))

Next Step Substitute values of Variables

∴

G = 20 \cdot \exp (\int ((15m² \cdot 13Hundred/m² - 25m² \cdot 12Hundred/m²) \cdot x, x, 0, 1.25m))

Next Step Prepare to Evaluate

∴

G = 20 \cdot \exp (\int ((15 \cdot 13 - 25 \cdot 12) \cdot x, x, 0, 1.25))

Next Step Evaluate

∴

G = 4.73489962714911E-35

LAST Step Rounding Answer

∴

G = 4.7E-35

Total Amplifier Gain for EDFA Formula Elements

Variables

Functions

Total Amplifier Gain for an EDFA

Total Amplifier Gain for an EDFA is a crucial parameter in determining the performance and efficiency of an EDFA in boosting optical signals in fiber optic communication systems.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Total Amplifier Gain for an EDFA

Confinement Factor

Confinement Factor is a measure of how effectively the optical signal is confined within the doped core of the fiber.

Symbol: Γ_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Confinement Factor

Emission Cross Section

Emission Cross Section refers to the measure of the effectiveness with which erbium ions emit photons at a specific wavelength.

Symbol: σs^e

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Emission Cross Section

Population Density of Higher Energy Level

Population Density of Higher Energy Level represent the population density of lower energy level involved in the amplification process.

Symbol: N₂

Measurement: Population DensityUnit: Hundred/m²

Note: Value can be positive or negative.

Formulas to find Population Density of Higher Energy Level

Absorption Cross Section

Absorption Cross Section refers to the measure of the effectiveness with which erbium ions absorb light at a specific wavelength.

Symbol: σs^a

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Absorption Cross Section

Population Density of Lower Energy Level

Population Density of Lower Energy Level represent the population density of lower energy level involved in the amplification process.

Symbol: N₁

Measurement: Population DensityUnit: Hundred/m²

Note: Value can be positive or negative.

Formulas to find Population Density of Lower Energy Level

Length of Fiber

Length of Fiber is defined as the total length of fiber cable.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fiber

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Fiber Modelling Parameters category

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

How to Evaluate Total Amplifier Gain for EDFA?

Total Amplifier Gain for EDFA evaluator uses Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber)) to evaluate the Total Amplifier Gain for an EDFA, The Total Amplifier Gain for EDFA formula represents the factor by which the input optical signal is amplified as it traverses through the amplifier. This gain is a crucial parameter in determining the performance and efficiency of the amplifier in boosting optical signals in fiber optic communication systems. Total Amplifier Gain for an EDFA is denoted by G symbol.

How to evaluate Total Amplifier Gain for EDFA using this online evaluator? To use this online evaluator for Total Amplifier Gain for EDFA, enter Confinement Factor (Γ_s), Emission Cross Section (σs^e), Population Density of Higher Energy Level (N₂), Absorption Cross Section (σs^a), Population Density of Lower Energy Level (N₁) & Length of Fiber (L) and hit the calculate button.

FAQs on Total Amplifier Gain for EDFA

What is the formula to find Total Amplifier Gain for EDFA?

The formula of Total Amplifier Gain for EDFA is expressed as Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber)). Here is an example- 4.7E-35 = 20*exp(int((15*13-25*12)*x,x,0,1.25)).

How to calculate Total Amplifier Gain for EDFA?

With Confinement Factor (Γ_s), Emission Cross Section (σs^e), Population Density of Higher Energy Level (N₂), Absorption Cross Section (σs^a), Population Density of Lower Energy Level (N₁) & Length of Fiber (L) we can find Total Amplifier Gain for EDFA using the formula - Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber)). This formula also uses Exponential Growth (exp), Definite Integral (int) function(s).

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Total Amplifier Gain for EDFA Formula

Total Amplifier Gain for EDFA Example

Total Amplifier Gain for EDFA Solution

Total Amplifier Gain for EDFA Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate Total Amplifier Gain for EDFA?

FAQs on Total Amplifier Gain for EDFA

Variable Name