Number of Modes using Normalized Frequency Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

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

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✖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 using Normalized Frequency [N_M]

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Formula

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Number of Modes using Normalized Frequency

Formula

`"N"_{"M"} = "V"^2/2`

Example

`"21"=("6.48Hz")^2/2`

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Number of Modes using Normalized Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Modes = Normalized Frequency^2/2
N_M = V^2/2
This formula uses 2 Variables

Variables Used

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.
Normalized Frequency - (Measured in Hertz) - Normalized Frequency is a unit of measurement of frequency equivalent to cycles/sample.

STEP 1: Convert Input(s) to Base Unit

Normalized Frequency: 6.48 Hertz --> 6.48 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_M = V^2/2 --> 6.48^2/2

Evaluating ... ...

N_M = 20.9952

STEP 3: Convert Result to Output's Unit

20.9952 --> No Conversion Required

FINAL ANSWER

20.9952 ≈ 21 <-- Number of Modes

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 19 Fiber Modelling Parameters Calculators

Total Amplifier Gain for EDFA

Go Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber))

Photo Current Generated to Incident Optical Power

Go Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel)

Phase Shift of Jth Channel

Go 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))

External Quantum Efficiency

Go External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)

Effective Interaction Length

Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss

Non Linear Phase Shift

Go Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)

Optical Dispersion

Go Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2

Diameter of Fiber

Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)

Number of Modes

Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

Power Loss in Fiber

Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)

Gaussian Pulse

Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)

Brillouin Shift

Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength

Modal Birefringence Degree

Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)

Rayleigh Scattering

Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)

Beat Length

Go Beat Length = Wavelength of Light/Modal Birefringence Degree

Group Velocity

Go Group Velocity = Length of Fiber/Group Delay

Fiber Length

Go Length of Fiber = Group Velocity*Group Delay

Fiber Attenuation Coefficient

Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

Go Number of Modes = Normalized Frequency^2/2

Number of Modes using Normalized Frequency Formula

Number of Modes = Normalized Frequency^2/2
N_M = V^2/2

What is Normalized Frequency?

Normalized frequency is a unit of measurement of frequency equivalent to cycles/sample. In digital signal processing, the continuous time variable, t, with units of seconds, is replaced by the discrete integer variable, n, with units of samples.

How to Calculate Number of Modes using Normalized Frequency?

Number of Modes using Normalized Frequency calculator uses Number of Modes = Normalized Frequency^2/2 to calculate the Number of Modes, Number of Modes using Normalized Frequency refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber. Multimode fibers are designed to support multiple propagation modes, which are characterized by distinct optical paths that the light can follow as it travels through the fiber. Each mode corresponds to a different pattern of light rays bouncing off the inner walls of the fiber. Number of Modes is denoted by N_M symbol.

How to calculate Number of Modes using Normalized Frequency using this online calculator? To use this online calculator for Number of Modes using Normalized Frequency, enter Normalized Frequency (V) and hit the calculate button. Here is how the Number of Modes using Normalized Frequency calculation can be explained with given input values -> 21 = 6.48^2/2.

FAQ

What is Number of Modes using Normalized Frequency?

Number of Modes using Normalized Frequency refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber. Multimode fibers are designed to support multiple propagation modes, which are characterized by distinct optical paths that the light can follow as it travels through the fiber. Each mode corresponds to a different pattern of light rays bouncing off the inner walls of the fiber and is represented as N_M = V^2/2 or Number of Modes = Normalized Frequency^2/2. Normalized Frequency is a unit of measurement of frequency equivalent to cycles/sample.

How to calculate Number of Modes using Normalized Frequency?

Number of Modes using Normalized Frequency refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber. Multimode fibers are designed to support multiple propagation modes, which are characterized by distinct optical paths that the light can follow as it travels through the fiber. Each mode corresponds to a different pattern of light rays bouncing off the inner walls of the fiber is calculated using Number of Modes = Normalized Frequency^2/2. To calculate Number of Modes using Normalized Frequency, you need Normalized Frequency (V). With our tool, you need to enter the respective value for Normalized Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Number of Modes?

In this formula, Number of Modes uses Normalized Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

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