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Gaussian Pulse Formula

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Gaussian Pulse is shaped as a Gaussian function and is produced by a Gaussian filter. Check FAQs

σ g = \frac{σ λ}{L \cdot D opt}

σ_g - Gaussian Pulse?σ_λ - Optical Pulse Duration?L - Length of Fiber?D_opt - Optical Fiber Dispersion?

Gaussian Pulse Example

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Here is how the Gaussian Pulse equation looks like with Values.

Here is how the Gaussian Pulse equation looks like with Units.

Here is how the Gaussian Pulse equation looks like.

5.3E-18 = \frac{2E-11}{1.25 \cdot 3E+6}

5.3E-18s/m = \frac{2E-11s}{1.25m \cdot 3E+6s²/m}

5.3E-18 = \frac{2E-11}{1.25 \cdot 3E+6}

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Gaussian Pulse Solution

Follow our step by step solution on how to calculate Gaussian Pulse?

FIRST Step Consider the formula

σ g = \frac{σ λ}{L \cdot D opt}

Next Step Substitute values of Variables

∴

σ g = \frac{2E-11s}{1.25m \cdot 3E+6s²/m}

Next Step Prepare to Evaluate

∴

σ g = \frac{2E-11}{1.25 \cdot 3E+6}

Next Step Evaluate

∴

σ g = 5.33333333333333E-18s/m

LAST Step Rounding Answer

∴

σ g = 5.3E-18s/m

Gaussian Pulse Formula Elements

Variables

Gaussian Pulse

Gaussian Pulse is shaped as a Gaussian function and is produced by a Gaussian filter.

Symbol: σ_g

Measurement: PresementUnit: s/m

Note: Value should be greater than 0.

Formulas to find Gaussian Pulse

Optical Pulse Duration

The Optical Pulse Duration refers to the transient or short-duration burst of light that carries information in the form of optical signals.

Symbol: σ_λ

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Optical Pulse Duration

Length of Fiber

Length of Fiber is defined as the total length of fiber cable.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fiber

Optical Fiber Dispersion

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.

Symbol: D_opt

Measurement: PresityUnit: s²/m

Note: Value can be positive or negative.

Formulas to find Optical Fiber Dispersion

Other formulas in Fiber Modelling Parameters category

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

How to Evaluate Gaussian Pulse?

Gaussian Pulse evaluator uses Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion) to evaluate 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 evaluate Gaussian Pulse using this online evaluator? To use this online evaluator for Gaussian Pulse, enter Optical Pulse Duration (σ_λ), Length of Fiber (L) & Optical Fiber Dispersion (D_opt) and hit the calculate button.

FAQs on Gaussian Pulse

What is the formula to find Gaussian Pulse?

The formula of Gaussian Pulse is expressed as Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion). Here is an example- 5.3E-18 = 2E-11/(1.25*3000000).

How to calculate Gaussian Pulse?

With Optical Pulse Duration (σ_λ), Length of Fiber (L) & Optical Fiber Dispersion (D_opt) we can find Gaussian Pulse using the formula - Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion).

Can the Gaussian Pulse be negative?

No, the Gaussian Pulse, measured in Presement cannot be negative.

Which unit is used to measure Gaussian Pulse?

Gaussian Pulse is usually measured using the Second per Meter[s/m] for Presement. are the few other units in which Gaussian Pulse can be measured.

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Gaussian Pulse Formula

Gaussian Pulse Example

Gaussian Pulse Solution

Gaussian Pulse Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate Gaussian Pulse?

FAQs on Gaussian Pulse

Variable Name