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Gaussian-Like Pulse Formula

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A Gaussian Like Pulse is a type of light pulse with a temporal intensity profile that has a Gaussian shape. Check FAQs

f p = {\sin (\frac{π \cdot t}{2 \cdot T p})}^{2}

f_p - Gaussian Like Pulse?t - Time FTS?T_p - Half Width of Pulse?π - Archimedes' constant?

Gaussian-Like Pulse Example

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

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

Here is how the Gaussian-Like Pulse equation looks like.

0.3887 = {\sin (\frac{3.1416 \cdot 3}{2 \cdot 7})}^{2}

0.3887 = {\sin (\frac{3.1416 \cdot 3fs}{2 \cdot 7fs})}^{2}

0.3887 = {\sin (\frac{3.1416 \cdot 3}{2 \cdot 7})}^{2}

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Gaussian-Like Pulse Solution

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

FIRST Step Consider the formula

f p = {\sin (\frac{π \cdot t}{2 \cdot T p})}^{2}

Next Step Substitute values of Variables

∴

f p = {\sin (\frac{π \cdot 3fs}{2 \cdot 7fs})}^{2}

Next Step Substitute values of Constants

∴

f p = {\sin (\frac{3.1416 \cdot 3fs}{2 \cdot 7fs})}^{2}

Next Step Convert Units

∴

f p = {\sin (\frac{3.1416 \cdot 3E-15s}{2 \cdot 7E-15s})}^{2}

Next Step Prepare to Evaluate

∴

f p = {\sin (\frac{3.1416 \cdot 3E-15}{2 \cdot 7E-15})}^{2}

Next Step Evaluate

∴

f p = 0.388739533021843

LAST Step Rounding Answer

∴

f p = 0.3887

Gaussian-Like Pulse Formula Elements

Variables

Constants

Functions

Gaussian Like Pulse

A Gaussian Like Pulse is a type of light pulse with a temporal intensity profile that has a Gaussian shape.

Symbol: f_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Gaussian Like Pulse

Time FTS

Time FTS is duration of things that are subject to change.

Symbol: t

Measurement: TimeUnit: fs

Note: Value can be positive or negative.

Formulas to find Time FTS

Half Width of Pulse

Half Width of Pulse is a term used in signal processing and refers to the width of the time interval within which the power is at least half the peak power.

Symbol: T_p

Measurement: TimeUnit: fs

Note: Value can be positive or negative.

Formulas to find Half Width of Pulse

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Femtochemistry category

Go Bond Breakage Time

ζ BB = (\frac{L}{v}) \cdot \ln (\frac{4 \cdot E}{δ})

Go Potential for Exponential Repulsion

V = E \cdot {(sech (\frac{v \cdot t}{2 \cdot L}))}^{2}

Go Recoil Energy for Bond Breaking

E = (\frac{1}{2}) \cdot μ \cdot (v^{2})

Go Observed Lifetime Given Reduced Mass

τ obs = \frac{\sqrt{\frac{μ \cdot [BoltZ] \cdot T}{8 \cdot π}}}{P \cdot σ}

How to Evaluate Gaussian-Like Pulse?

Gaussian-Like Pulse evaluator uses Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2 to evaluate the Gaussian Like Pulse, The Gaussian-Like Pulse formula is defined as A Gaussian pulse is a type of light pulse with a temporal intensity profile that has a Gaussian shape. The temporal shape of a Gaussian pulse can be approximately described with a Gaussian function. Gaussian Like Pulse is denoted by f_p symbol.

How to evaluate Gaussian-Like Pulse using this online evaluator? To use this online evaluator for Gaussian-Like Pulse, enter Time FTS (t) & Half Width of Pulse (T_p) and hit the calculate button.

FAQs on Gaussian-Like Pulse

What is the formula to find Gaussian-Like Pulse?

The formula of Gaussian-Like Pulse is expressed as Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2. Here is an example- 0.38874 = sin((pi*3E-15)/(2*7E-15))^2.

How to calculate Gaussian-Like Pulse?

With Time FTS (t) & Half Width of Pulse (T_p) we can find Gaussian-Like Pulse using the formula - Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2. This formula also uses Archimedes' constant and Sine (sin) function(s).

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Gaussian-Like Pulse Formula

Gaussian-Like Pulse Example

Gaussian-Like Pulse Solution

Gaussian-Like Pulse Formula Elements

Other formulas in Femtochemistry category

How to Evaluate Gaussian-Like Pulse?

FAQs on Gaussian-Like Pulse

Variable Name