Gaussian Pulse Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖The Optical Pulse Duration refers to the transient or short-duration burst of light that carries information in the form of optical signals.ⓘ Optical Pulse Duration [σ_λ]			+10% -10%
✖Length of Fiber is defined as the total length of fiber cable.ⓘ Length of Fiber [L]			+10% -10%
✖Optical Fiber Dispersion refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber.ⓘ Optical Fiber Dispersion [D_opt]			+10% -10%

✖Gaussian Pulse is shaped as a Gaussian function and is produced by a Gaussian filter.ⓘ Gaussian Pulse [σ_g]

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Formula

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Gaussian Pulse

Formula

`"σ"_{"g"} = "σ"_{"λ"}/("L"*"D"_{"opt"})`

Example

`"5.3E^-18s/m"="2e-11s"/("1.25m"*"3e6s²/m")`

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Gaussian Pulse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)
σ_g = σ_λ/(L*D_opt)
This formula uses 4 Variables

Variables Used

Gaussian Pulse - (Measured in Second per Meter) - Gaussian Pulse is shaped as a Gaussian function and is produced by a Gaussian filter.
Optical Pulse Duration - (Measured in Second) - The Optical Pulse Duration refers to the transient or short-duration burst of light that carries information in the form of optical signals.
Length of Fiber - (Measured in Meter) - Length of Fiber is defined as the total length of fiber cable.
Optical Fiber Dispersion - (Measured in Square Second per Meter) - Optical Fiber Dispersion refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber.

STEP 1: Convert Input(s) to Base Unit

Optical Pulse Duration: 2E-11 Second --> 2E-11 Second No Conversion Required
Length of Fiber: 1.25 Meter --> 1.25 Meter No Conversion Required
Optical Fiber Dispersion: 3000000 Square Second per Meter --> 3000000 Square Second per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_g = σ_λ/(L*D_opt) --> 2E-11/(1.25*3000000)

Evaluating ... ...

σ_g = 5.33333333333333E-18

STEP 3: Convert Result to Output's Unit

5.33333333333333E-18 Second per Meter --> No Conversion Required

FINAL ANSWER

5.33333333333333E-18 ≈ 5.3E-18 Second per Meter <-- Gaussian Pulse

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

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

Gaussian Pulse Formula

Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)
σ_g = σ_λ/(L*D_opt)

What is Optical Fiber?

Optical fiber is the technology associated with data transmission using light pulses travelling along with a long fiber which is usually made of plastic or glass.

How to Calculate Gaussian Pulse?

Gaussian Pulse calculator uses Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion) to calculate the Gaussian Pulse, The Gaussian Pulse formula refers to a specific type of optical signal that is characterized by a Gaussian-shaped intensity profile in the time domain. It is commonly used to represent the temporal behavior of optical pulses in fiber optic communication systems. A Gaussian pulse in fiber optics is typically generated by modulating a continuous-wave (CW) laser source using an intensity modulator or by using mode-locked lasers. The resulting pulse has a Gaussian envelope, meaning the intensity of the pulse follows a Gaussian distribution over time. Gaussian Pulse is denoted by σ_g symbol.

How to calculate Gaussian Pulse using this online calculator? To use this online calculator for Gaussian Pulse, enter Optical Pulse Duration (σ_λ), Length of Fiber (L) & Optical Fiber Dispersion (D_opt) and hit the calculate button. Here is how the Gaussian Pulse calculation can be explained with given input values -> 5.3E-18 = 2E-11/(1.25*3000000).

FAQ

What is Gaussian Pulse?

The Gaussian Pulse formula refers to a specific type of optical signal that is characterized by a Gaussian-shaped intensity profile in the time domain. It is commonly used to represent the temporal behavior of optical pulses in fiber optic communication systems. A Gaussian pulse in fiber optics is typically generated by modulating a continuous-wave (CW) laser source using an intensity modulator or by using mode-locked lasers. The resulting pulse has a Gaussian envelope, meaning the intensity of the pulse follows a Gaussian distribution over time and is represented as σ_g = σ_λ/(L*D_opt) or Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion). The Optical Pulse Duration refers to the transient or short-duration burst of light that carries information in the form of optical signals, Length of Fiber is defined as the total length of fiber cable & Optical Fiber Dispersion refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber.

How to calculate Gaussian Pulse?

The Gaussian Pulse formula refers to a specific type of optical signal that is characterized by a Gaussian-shaped intensity profile in the time domain. It is commonly used to represent the temporal behavior of optical pulses in fiber optic communication systems. A Gaussian pulse in fiber optics is typically generated by modulating a continuous-wave (CW) laser source using an intensity modulator or by using mode-locked lasers. The resulting pulse has a Gaussian envelope, meaning the intensity of the pulse follows a Gaussian distribution over time is calculated using Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion). To calculate Gaussian Pulse, you need Optical Pulse Duration (σ_λ), Length of Fiber (L) & Optical Fiber Dispersion (D_opt). With our tool, you need to enter the respective value for Optical Pulse Duration, Length of Fiber & Optical Fiber Dispersion 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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