Beat Length 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%
✖Modal Birefringence Degree is a term used to describe the degree of birefringence exhibited by different modes of light propagating through the fiber.ⓘ Modal Birefringence Degree [B_m]			+10% -10%

✖Beat Length describes the spatial period over which a beat phenomenon occurs due to the interference of two closely spaced optical modes.ⓘ Beat Length [L_b]

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Formula

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Beat Length

Formula

`"L"_{"b"} = "λ"/"B"_{"m"}`

Example

`"15.5m"="1.55μm"/"1e-7"`

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Beat Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beat Length = Wavelength of Light/Modal Birefringence Degree
L_b = λ/B_m
This formula uses 3 Variables

Variables Used

Beat Length - (Measured in Meter) - Beat Length describes the spatial period over which a beat phenomenon occurs due to the interference of two closely spaced optical modes.
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.
Modal Birefringence Degree - Modal Birefringence Degree is a term used to describe the degree of birefringence exhibited by different modes of light propagating through the fiber.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)
Modal Birefringence Degree: 1E-07 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_b = λ/B_m --> 1.55E-06/1E-07

Evaluating ... ...

L_b = 15.5

STEP 3: Convert Result to Output's Unit

15.5 Meter --> No Conversion Required

FINAL ANSWER

15.5 Meter <-- Beat Length

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Beat Length Formula

Beat Length = Wavelength of Light/Modal Birefringence Degree
L_b = λ/B_m

Why is Bend Length important?

It is an important parameter that characterizes the optical properties of waveguides, particularly optical fibers. The beat length is often used in the study of birefringence and polarization properties in optical waveguides.

How to Calculate Beat Length?

Beat Length calculator uses Beat Length = Wavelength of Light/Modal Birefringence Degree to calculate the Beat Length, Beat Length is a parameter used in the context of optical fiber and waveguide systems to describe the spatial period over which a beat phenomenon occurs due to the interference of two closely spaced optical modes. Beat Length is denoted by L_b symbol.

How to calculate Beat Length using this online calculator? To use this online calculator for Beat Length, enter Wavelength of Light (λ) & Modal Birefringence Degree (B_m) and hit the calculate button. Here is how the Beat Length calculation can be explained with given input values -> 15.5 = 1.55E-06/1E-07.

FAQ

What is Beat Length?

Beat Length is a parameter used in the context of optical fiber and waveguide systems to describe the spatial period over which a beat phenomenon occurs due to the interference of two closely spaced optical modes and is represented as L_b = λ/B_m or Beat Length = Wavelength of Light/Modal Birefringence Degree. Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum & Modal Birefringence Degree is a term used to describe the degree of birefringence exhibited by different modes of light propagating through the fiber.

How to calculate Beat Length?

Beat Length is a parameter used in the context of optical fiber and waveguide systems to describe the spatial period over which a beat phenomenon occurs due to the interference of two closely spaced optical modes is calculated using Beat Length = Wavelength of Light/Modal Birefringence Degree. To calculate Beat Length, you need Wavelength of Light (λ) & Modal Birefringence Degree (B_m). With our tool, you need to enter the respective value for Wavelength of Light & Modal Birefringence Degree 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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