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Peak Parametric Gain Formula

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Peak Parametric Gain refers to the maximum gain that can be achieved in an optical parametric amplifier (OPA) under ideal conditions. Check FAQs

G p = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot γ \cdot P p \cdot l))

G_p - Peak Parametric Gain?γ - Fiber Non Linear Coefficient?P_p - Pump Signal Power?l - Fiber Length?

Peak Parametric Gain Example

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Here is how the Peak Parametric Gain equation looks like with Values.

Here is how the Peak Parametric Gain equation looks like with Units.

Here is how the Peak Parametric Gain equation looks like.

58.073 = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4 \cdot 442.92))

58.073 = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4W \cdot 442.92m))

58.073 = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4 \cdot 442.92))

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Peak Parametric Gain Solution

Follow our step by step solution on how to calculate Peak Parametric Gain?

FIRST Step Consider the formula

G p = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot γ \cdot P p \cdot l))

Next Step Substitute values of Variables

∴

G p = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4W \cdot 442.92m))

Next Step Prepare to Evaluate

∴

G p = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4 \cdot 442.92))

Next Step Evaluate

∴

G p = 58.0729896999932

LAST Step Rounding Answer

∴

G p = 58.073

Peak Parametric Gain Formula Elements

Variables

Functions

Peak Parametric Gain

Peak Parametric Gain refers to the maximum gain that can be achieved in an optical parametric amplifier (OPA) under ideal conditions.

Symbol: G_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Peak Parametric Gain

Fiber Non Linear Coefficient

Fiber Non Linear Coefficient quantifies the strength of a nonlinear interaction in an optical fiber.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Fiber Non Linear Coefficient

Pump Signal Power

Pump Signal Power refers to the power of the pump signal used in an optical amplifier or a process like parametric amplification.

Symbol: P_p

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Pump Signal Power

Fiber Length

Fiber Length refers to the measure of how long the fiber is.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fiber Length

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

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)

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How to Evaluate Peak Parametric Gain?

Peak Parametric Gain evaluator uses Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)) to evaluate the Peak Parametric Gain, Peak Parametric Gain is referred to as optical parametric amplification. This is a process where a signal can be amplified using a parametric nonlinearity and a pump wave. The amplification process implies that some of the pump photons are converted to signal and idler photons. Peak Parametric Gain is denoted by G_p symbol.

How to evaluate Peak Parametric Gain using this online evaluator? To use this online evaluator for Peak Parametric Gain, enter Fiber Non Linear Coefficient (γ), Pump Signal Power (P_p) & Fiber Length (l) and hit the calculate button.

FAQs on Peak Parametric Gain

What is the formula to find Peak Parametric Gain?

The formula of Peak Parametric Gain is expressed as Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)). Here is an example- 58.07299 = 10*log10(0.25*exp(2*0.0119*1.4*442.92)).

How to calculate Peak Parametric Gain?

With Fiber Non Linear Coefficient (γ), Pump Signal Power (P_p) & Fiber Length (l) we can find Peak Parametric Gain using the formula - Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)). This formula also uses Common Logarithm Function, Exponential Growth Function function(s).

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Peak Parametric Gain Formula

Peak Parametric Gain Example

Peak Parametric Gain Solution

Peak Parametric Gain Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Peak Parametric Gain?

FAQs on Peak Parametric Gain

Variable Name