Diameter of Fiber Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Wavelength of Light [λ]			+10% -10%
✖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]			+10% -10%
✖Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.ⓘ Numerical Aperture [NA]			+10% -10%

✖Diameter of Fiber is the end to end thickness of the fiber cable.ⓘ Diameter of Fiber [D]

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Formula

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Diameter of Fiber

Formula

`"D" = ("λ"*"N"_{"M"})/(pi*"NA")`

Example

`"25.90247μm"=("1.55μm"*"21")/(pi*"0.4")`

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Download Optical Fiber Design Formulas PDF

Diameter of Fiber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)
D = (λ*N_M)/(pi*NA)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Fiber - (Measured in Meter) - Diameter of Fiber is the end to end thickness of the fiber cable.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
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.
Numerical Aperture - Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)
Number of Modes: 21 --> No Conversion Required
Numerical Aperture: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (λ*N_M)/(pi*NA) --> (1.55E-06*21)/(pi*0.4)

Evaluating ... ...

D = 2.5902466988206E-05

STEP 3: Convert Result to Output's Unit

2.5902466988206E-05 Meter -->25.902466988206 Micrometer (Check conversion here)

FINAL ANSWER

25.902466988206 ≈ 25.90247 Micrometer <-- Diameter of Fiber

(Calculation completed in 00.006 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 18 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))

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

Diameter of Fiber Formula

Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)
D = (λ*N_M)/(pi*NA)

What are the 2 types of fiber optic cable?

There are two types of fibre optic cables – multimode and single-mode. Multimode fibre is capable of carrying multiple light rays (modes) at the same time as it has varying optical properties at the core.

How to Calculate Diameter of Fiber?

Diameter of Fiber calculator uses Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture) to calculate the Diameter of Fiber, The Diameter of Fiber formula is defined as measurements of the fiber's outer diameter after manufacture (off-line) that may be performed using a micrometer or dial gauge. Diameter of Fiber is denoted by D symbol.

How to calculate Diameter of Fiber using this online calculator? To use this online calculator for Diameter of Fiber, enter Wavelength of Light (λ), Number of Modes (N_M) & Numerical Aperture (NA) and hit the calculate button. Here is how the Diameter of Fiber calculation can be explained with given input values -> 2.6E+7 = (1.55E-06*21)/(pi*0.4).

FAQ

What is Diameter of Fiber?

The Diameter of Fiber formula is defined as measurements of the fiber's outer diameter after manufacture (off-line) that may be performed using a micrometer or dial gauge and is represented as D = (λ*N_M)/(pi*NA) or Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture). Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum, Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber & Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.

How to calculate Diameter of Fiber?

The Diameter of Fiber formula is defined as measurements of the fiber's outer diameter after manufacture (off-line) that may be performed using a micrometer or dial gauge is calculated using Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture). To calculate Diameter of Fiber, you need Wavelength of Light (λ), Number of Modes (N_M) & Numerical Aperture (NA). With our tool, you need to enter the respective value for Wavelength of Light, Number of Modes & Numerical Aperture 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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