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Phase Shift of Jth Channel Formula

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Phase Shift Jth Channel refers to the change in the phase of the optical signal in the "jth channel" induced by the presence of another optical signal. Check FAQs

Øj NL = γ \cdot L eff \cdot (P j + 2 \cdot \sum (x, 1, m, P m))

Øj^NL - Phase Shift Jth Channel?γ - Non Linear Parameter?L_eff - Effective Interaction Length?P_j - Power of Jth signal?m - Range of Other Channels Except J?P_m - Power of Mth signal?

Phase Shift of Jth Channel Example

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Here is how the Phase Shift of Jth Channel equation looks like with Values.

Here is how the Phase Shift of Jth Channel equation looks like with Units.

Here is how the Phase Shift of Jth Channel equation looks like.

540.175 = 5 \cdot 0.3485 \cdot (40 + 2 \cdot \sum (x, 1, 5, 27))

540.175rad = 5dB/m \cdot 0.3485m \cdot (40W + 2 \cdot \sum (x, 1, 5, 27W))

540.175 = 5 \cdot 0.3485 \cdot (40 + 2 \cdot \sum (x, 1, 5, 27))

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Phase Shift of Jth Channel Solution

Follow our step by step solution on how to calculate Phase Shift of Jth Channel?

FIRST Step Consider the formula

Øj NL = γ \cdot L eff \cdot (P j + 2 \cdot \sum (x, 1, m, P m))

Next Step Substitute values of Variables

∴

Øj NL = 5dB/m \cdot 0.3485m \cdot (40W + 2 \cdot \sum (x, 1, 5, 27W))

Next Step Prepare to Evaluate

∴

Øj NL = 5 \cdot 0.3485 \cdot (40 + 2 \cdot \sum (x, 1, 5, 27))

LAST Step Evaluate

∴

Øj NL = 540.175rad

Phase Shift of Jth Channel Formula Elements

Variables

Functions

Phase Shift Jth Channel

Phase Shift Jth Channel refers to the change in the phase of the optical signal in the "jth channel" induced by the presence of another optical signal.

Symbol: Øj^NL

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Phase Shift Jth Channel

Non Linear Parameter

Non Linear Parameter refers to the attenuation coefficient or attenuation rate of optical fibers.

Symbol: γ

Measurement: AttenuationUnit: dB/m

Note: Value can be positive or negative.

Formulas to find Non Linear Parameter

Effective Interaction Length

Effective Interaction Length used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant.

Symbol: L_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Interaction Length

Power of Jth signal

Power of Jth signal denotes the power of the "j-th" signal, which could be any optical signal in the system.

Symbol: P_j

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power of Jth signal

Range of Other Channels Except J

Range of Other Channels Except J is the specific range for m is determined by the number of optical channels being considered in the analysis of XPM.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Range of Other Channels Except J

Power of Mth signal

Power of Mth signal denotes the power of the "m-th" signal, which is another optical signal propagating concurrently with the Pj signal.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power of Mth signal

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

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}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

How to Evaluate Phase Shift of Jth Channel?

Phase Shift of Jth Channel evaluator uses Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal)) to evaluate the Phase Shift Jth Channel, The Phase Shift of Jth Channel occurs when two or more optical channels are transmitted simultaneously inside an optical fiber using the WDM technique. In such systems, the nonlinear phase shift for a specific channel depends not only on the power of that channel but also on the power of other channels. Phase Shift Jth Channel is denoted by Øj^NL symbol.

How to evaluate Phase Shift of Jth Channel using this online evaluator? To use this online evaluator for Phase Shift of Jth Channel, enter Non Linear Parameter (γ), Effective Interaction Length (L_eff), Power of Jth signal (P_j), Range of Other Channels Except J (m) & Power of Mth signal (P_m) and hit the calculate button.

FAQs on Phase Shift of Jth Channel

What is the formula to find Phase Shift of Jth Channel?

The formula of Phase Shift of Jth Channel is expressed as Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal)). Here is an example- 540.175 = 5*0.3485*(40+2*sum(x,1,5,27)).

How to calculate Phase Shift of Jth Channel?

With Non Linear Parameter (γ), Effective Interaction Length (L_eff), Power of Jth signal (P_j), Range of Other Channels Except J (m) & Power of Mth signal (P_m) we can find Phase Shift of Jth Channel using the formula - Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal)). This formula also uses Summation Notation (sum) function(s).

Can the Phase Shift of Jth Channel be negative?

Yes, the Phase Shift of Jth Channel, measured in Angle can be negative.

Which unit is used to measure Phase Shift of Jth Channel?

Phase Shift of Jth Channel is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Phase Shift of Jth Channel can be measured.

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Phase Shift of Jth Channel Formula

Phase Shift of Jth Channel Example

Phase Shift of Jth Channel Solution

Phase Shift of Jth Channel Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate Phase Shift of Jth Channel?

FAQs on Phase Shift of Jth Channel

Variable Name