Modal Birefringence Degree Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Mode Index X is the index value of orthogonally polarized fiber modes which lie on X axis.ⓘ Mode Index X [n̄_x]			+10% -10%
✖Mode Index Y is the index value of orthogonally polarized fiber modes which lie on Y axis.ⓘ Mode Index Y [n̄_y]			+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]

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Formula

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Modal Birefringence Degree

Formula

`"B"_{"m"} = "modulus"("n̄"_{"x"}-"n̄"_{"y"})`

Example

`"1E^-7"="modulus"("2.44e-7"-"1.44e-7")`

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Modal Birefringence Degree Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)
B_m = modulus(n̄_x-n̄_y)
This formula uses 1 Functions, 3 Variables

Functions Used

modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

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.
Mode Index X - Mode Index X is the index value of orthogonally polarized fiber modes which lie on X axis.
Mode Index Y - Mode Index Y is the index value of orthogonally polarized fiber modes which lie on Y axis.

STEP 1: Convert Input(s) to Base Unit

Mode Index X: 2.44E-07 --> No Conversion Required
Mode Index Y: 1.44E-07 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_m = modulus(n̄_x-n̄_y) --> modulus(2.44E-07-1.44E-07)

Evaluating ... ...

B_m = 1E-07

STEP 3: Convert Result to Output's Unit

1E-07 --> No Conversion Required

FINAL ANSWER

1E-07 ≈ 1E-7 <-- Modal Birefringence Degree

(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

Modal Birefringence Degree Formula

Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)
B_m = modulus(n̄_x-n̄_y)

How does Modal birefringence degree affect optical communication?

Modal birefringence degree can impact optical communication by influencing the polarization properties of light signals within optical fibers or waveguides. In optical communication systems, maintaining polarization stability is crucial for signal quality and reliability.

How to Calculate Modal Birefringence Degree?

Modal Birefringence Degree calculator uses Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y) to calculate the Modal Birefringence Degree, Modal Birefringence Degree is a measure of the birefringence (difference in refractive indices for two orthogonal polarizations) associated with the optical modes supported in a waveguide or an optical fiber. It quantifies the extent to which different modes experience birefringence in the optical system. Modal Birefringence Degree is denoted by B_m symbol.

How to calculate Modal Birefringence Degree using this online calculator? To use this online calculator for Modal Birefringence Degree, enter Mode Index X (n̄_x) & Mode Index Y (n̄_y) and hit the calculate button. Here is how the Modal Birefringence Degree calculation can be explained with given input values -> 1E-7 = modulus(2.44E-07-1.44E-07).

FAQ

What is Modal Birefringence Degree?

Modal Birefringence Degree is a measure of the birefringence (difference in refractive indices for two orthogonal polarizations) associated with the optical modes supported in a waveguide or an optical fiber. It quantifies the extent to which different modes experience birefringence in the optical system and is represented as B_m = modulus(n̄_x-n̄_y) or Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y). Mode Index X is the index value of orthogonally polarized fiber modes which lie on X axis & Mode Index Y is the index value of orthogonally polarized fiber modes which lie on Y axis.

How to calculate Modal Birefringence Degree?

Modal Birefringence Degree is a measure of the birefringence (difference in refractive indices for two orthogonal polarizations) associated with the optical modes supported in a waveguide or an optical fiber. It quantifies the extent to which different modes experience birefringence in the optical system is calculated using Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y). To calculate Modal Birefringence Degree, you need Mode Index X (n̄_x) & Mode Index Y (n̄_y). With our tool, you need to enter the respective value for Mode Index X & Mode Index Y 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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