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Non Linear Phase Shift Formula

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Non Linear Phase Shift is the phenomenon where the phase of an optical signal undergoes a change that is not directly proportional to the frequency (or wavelength) of the signal. Check FAQs

Ø NL = \int (γ \cdot P[z], x, 0, L)

Ø_NL - Non Linear Phase Shift?γ - Non Linear Parameter?P[z] - Optical Power?L - Length of Fiber?

Non Linear Phase Shift Example

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Here is how the Non Linear Phase Shift equation looks like with Values.

Here is how the Non Linear Phase Shift equation looks like with Units.

Here is how the Non Linear Phase Shift equation looks like.

62.5 = \int (5 \cdot 10, x, 0, 1.25)

62.5rad = \int (5dB/m \cdot 10W, x, 0, 1.25m)

62.5 = \int (5 \cdot 10, x, 0, 1.25)

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Non Linear Phase Shift Solution

Follow our step by step solution on how to calculate Non Linear Phase Shift?

FIRST Step Consider the formula

Ø NL = \int (γ \cdot P[z], x, 0, L)

Next Step Substitute values of Variables

∴

Ø NL = \int (5dB/m \cdot 10W, x, 0, 1.25m)

Next Step Prepare to Evaluate

∴

Ø NL = \int (5 \cdot 10, x, 0, 1.25)

LAST Step Evaluate

∴

Ø NL = 62.5rad

Non Linear Phase Shift Formula Elements

Variables

Functions

Non Linear Phase Shift

Non Linear Phase Shift is the phenomenon where the phase of an optical signal undergoes a change that is not directly proportional to the frequency (or wavelength) of the signal.

Symbol: Ø_NL

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Non Linear Phase Shift

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

Optical Power

Optical Power represents the optical power of the signal as a function of distance z along the fiber.

Symbol: P[z]

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Optical Power

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

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}

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 Non Linear Phase Shift?

Non Linear Phase Shift evaluator uses Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber) to evaluate the Non Linear Phase Shift, The Non Linear Phase Shift formula refers to the phenomenon where the phase of an optical signal is modulated nonlinearly as it propagates through a nonlinear medium such as an optical fiber. Non Linear Phase Shift is denoted by Ø_NL symbol.

How to evaluate Non Linear Phase Shift using this online evaluator? To use this online evaluator for Non Linear Phase Shift, enter Non Linear Parameter (γ), Optical Power (P[z]) & Length of Fiber (L) and hit the calculate button.

FAQs on Non Linear Phase Shift

What is the formula to find Non Linear Phase Shift?

The formula of Non Linear Phase Shift is expressed as Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber). Here is an example- 62.5 = int(5*10,x,0,1.25).

How to calculate Non Linear Phase Shift?

With Non Linear Parameter (γ), Optical Power (P[z]) & Length of Fiber (L) we can find Non Linear Phase Shift using the formula - Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber). This formula also uses Definite Integral (int) function(s).

Can the Non Linear Phase Shift be negative?

Yes, the Non Linear Phase Shift, measured in Angle can be negative.

Which unit is used to measure Non Linear Phase Shift?

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

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Non Linear Phase Shift Formula

Non Linear Phase Shift Example

Non Linear Phase Shift Solution

Non Linear Phase Shift Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate Non Linear Phase Shift?

FAQs on Non Linear Phase Shift

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