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Peak Parametric Gain Calculator

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C V Actions of Optics Transmission Fiber Optic Parameters Optical Detectors Transmission Measurements

✖Fiber Non Linear Coefficient quantifies the strength of a nonlinear interaction in an optical fiber.ⓘ Fiber Non Linear Coefficient [γ]			+10% -10%
✖Pump Signal Power refers to the power of the pump signal used in an optical amplifier or a process like parametric amplification.ⓘ Pump Signal Power [P_p]			+10% -10%
✖Fiber Length refers to the measure of how long the fiber is.ⓘ Fiber Length [l]			+10% -10%

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

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Formula

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Peak Parametric Gain

Formula

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

Example

58.07299 = 10 \cdot \log 10 (0.25 \cdot \exp (2 \cdot 0.0119 \cdot 1.4 W \cdot 442.92 m))

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Peak Parametric Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))
G_p = 10*log10(0.25*exp(2*γ*P_p*l))
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., exp(Number)

Variables Used

Peak Parametric Gain - Peak Parametric Gain refers to the maximum gain that can be achieved in an optical parametric amplifier (OPA) under ideal conditions.
Fiber Non Linear Coefficient - Fiber Non Linear Coefficient quantifies the strength of a nonlinear interaction in an optical fiber.
Pump Signal Power - (Measured in Watt) - Pump Signal Power refers to the power of the pump signal used in an optical amplifier or a process like parametric amplification.
Fiber Length - (Measured in Meter) - Fiber Length refers to the measure of how long the fiber is.

STEP 1: Convert Input(s) to Base Unit

Fiber Non Linear Coefficient: 0.0119 --> No Conversion Required
Pump Signal Power: 1.4 Watt --> 1.4 Watt No Conversion Required
Fiber Length: 442.92 Meter --> 442.92 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_p = 10*log10(0.25*exp(2*γ*P_p*l)) --> 10*log10(0.25*exp(2*0.0119*1.4*442.92))

Evaluating ... ...

G_p = 58.0729896999932

STEP 3: Convert Result to Output's Unit

58.0729896999932 --> No Conversion Required

FINAL ANSWER

58.0729896999932 ≈ 58.07299 <-- Peak Parametric Gain

(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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Dayananda Sagar College Of Engineering (DSCE), Banglore

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Peak Parametric Gain Formula

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

What is the significance of Peak Parametric Gain?

Peak Parametric Gain is a crucial parameter in optical parametric amplifiers (OPAs). It signifies the maximum gain that can be achieved under ideal conditions. One of the key properties of the OPA is that energy from a fixed wavelength source can be transferred onto a beam with a tunable wavelength. This opens up a major development of the techniques of OPA and has laid the foundations for many applications in spectroscopy.

How to Calculate Peak Parametric Gain?

Peak Parametric Gain calculator uses Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)) to calculate 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 calculate Peak Parametric Gain using this online calculator? To use this online calculator for Peak Parametric Gain, enter Fiber Non Linear Coefficient (γ), Pump Signal Power (P_p) & Fiber Length (l) and hit the calculate button. Here is how the Peak Parametric Gain calculation can be explained with given input values -> 58.07299 = 10*log10(0.25*exp(2*0.0119*1.4*442.92)).

FAQ

What is 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 and is represented as G_p = 10*log10(0.25*exp(2*γ*P_p*l)) or Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)). Fiber Non Linear Coefficient quantifies the strength of a nonlinear interaction in an optical fiber, Pump Signal Power refers to the power of the pump signal used in an optical amplifier or a process like parametric amplification & Fiber Length refers to the measure of how long the fiber is.

How to calculate 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 is calculated using Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length)). To calculate Peak Parametric Gain, you need Fiber Non Linear Coefficient (γ), Pump Signal Power (P_p) & Fiber Length (l). With our tool, you need to enter the respective value for Fiber Non Linear Coefficient, Pump Signal Power & Fiber Length 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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