Normalized Frequency Calculator

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Fiber Design Characteristics

Fiber Modelling Parameters

✖Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber.ⓘ Number of Modes [N_M]

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✖Normalized Frequency is a unit of measurement of frequency equivalent to cycles/sample.ⓘ Normalized Frequency [V]

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Formula

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Normalized Frequency

Formula

`"V" = sqrt(2*"N"_{"M"})`

Example

`"6.480741Hz"=sqrt(2*"21")`

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Normalized Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normalized Frequency = sqrt(2*Number of Modes)
V = sqrt(2*N_M)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Normalized Frequency - (Measured in Hertz) - Normalized Frequency is a unit of measurement of frequency equivalent to cycles/sample.
Number of Modes - Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber.

STEP 1: Convert Input(s) to Base Unit

Number of Modes: 21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(2*N_M) --> sqrt(2*21)

Evaluating ... ...

V = 6.48074069840786

STEP 3: Convert Result to Output's Unit

6.48074069840786 Hertz --> No Conversion Required

FINAL ANSWER

6.48074069840786 ≈ 6.480741 Hertz <-- Normalized Frequency

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 12 Fiber Design Characteristics Calculators

Normalised Propagation Constant

Go Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)

Delta Parameter

Go Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)

Ray Optics Critical Angle

Go Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1

Numerical Aperture

Go Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))

Refractive Index of Fiber Core

Go Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)

Refractive Index of Cladding

Go Refractive Index of Cladding = sqrt(Refractive Index of Core^2-Numerical Aperture^2)

Optical Pulse Duration

Go Optical Pulse Duration = Length of Fiber*Optical Fiber Dispersion*Gaussian Pulse

Graded Index Length of Fiber

Go Grade Index Fiber = Length of Fiber*Refractive Index of Core

Plane Wave Velocity

Go Plane Wave Velocity = Angular Velocity/Propagation Constant

Phase Velocity in Optic Fiber

Go Phase Velocity = [c]/Effective Index of Mode

Normalized Frequency

Go Normalized Frequency = sqrt(2*Number of Modes)

Group Delay

Go Group Velocity = Length of Fiber/Group Delay

Normalized Frequency Formula

Normalized Frequency = sqrt(2*Number of Modes)
V = sqrt(2*N_M)

How do you convert normalized frequency to actual frequency?

The normalized frequency, therefore, is always in the interval 0 f 1. For a system with a 1000 Hz sampling frequency, 300 Hz is 300/500 = 0.6. To convert normalized frequency to angular frequency around the unit circle, multiply by . To convert normalized frequency back to hertz, multiply by half the sample frequency.

How to Calculate Normalized Frequency?

Normalized Frequency calculator uses Normalized Frequency = sqrt(2*Number of Modes) to calculate the Normalized Frequency, The Normalized Frequency formula refers to a dimensionless parameter that characterizes the propagation of light within an optical fiber. It is calculated by dividing the product of the fiber's mode field diameter (MFD) and the operating wavelength by the effective mode index. Normalized Frequency is denoted by V symbol.

How to calculate Normalized Frequency using this online calculator? To use this online calculator for Normalized Frequency, enter Number of Modes (N_M) and hit the calculate button. Here is how the Normalized Frequency calculation can be explained with given input values -> 6.480741 = sqrt(2*21).

FAQ

What is Normalized Frequency?

The Normalized Frequency formula refers to a dimensionless parameter that characterizes the propagation of light within an optical fiber. It is calculated by dividing the product of the fiber's mode field diameter (MFD) and the operating wavelength by the effective mode index and is represented as V = sqrt(2*N_M) or Normalized Frequency = sqrt(2*Number of Modes). Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber.

How to calculate Normalized Frequency?

The Normalized Frequency formula refers to a dimensionless parameter that characterizes the propagation of light within an optical fiber. It is calculated by dividing the product of the fiber's mode field diameter (MFD) and the operating wavelength by the effective mode index is calculated using Normalized Frequency = sqrt(2*Number of Modes). To calculate Normalized Frequency, you need Number of Modes (N_M). With our tool, you need to enter the respective value for Number of Modes 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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