Gaussian-Like Pulse Calculator

✖Time FTS is duration of things that are subject to change.ⓘ Time FTS [t]			+10% -10%
✖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.ⓘ Half Width of Pulse [T_p]			+10% -10%

✖A Gaussian Like Pulse is a type of light pulse with a temporal intensity profile that has a Gaussian shape.ⓘ Gaussian-Like Pulse [f_p]

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Formula

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Gaussian-Like Pulse

Formula

`"f"_{"p"} = sin((pi*"t")/(2*"T"_{"p"}))^2`

Example

`"0.38874"=sin((pi*"3fs")/(2*"7fs"))^2`

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Gaussian-Like Pulse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2
f_p = sin((pi*t)/(2*T_p))^2
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

Gaussian Like Pulse - A Gaussian Like Pulse is a type of light pulse with a temporal intensity profile that has a Gaussian shape.
Time FTS - (Measured in Second) - Time FTS is duration of things that are subject to change.
Half Width of Pulse - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Time FTS: 3 Femtosecond --> 3E-15 Second (Check conversion here)
Half Width of Pulse: 7 Femtosecond --> 7E-15 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_p = sin((pi*t)/(2*T_p))^2 --> sin((pi*3E-15)/(2*7E-15))^2

Evaluating ... ...

f_p = 0.388739533021843

STEP 3: Convert Result to Output's Unit

0.388739533021843 --> No Conversion Required

FINAL ANSWER

0.388739533021843 ≈ 0.38874 <-- Gaussian Like Pulse

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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< 20 Femtochemistry Calculators

Observed Lifetime Given Quenching Time

Go Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time)

Observed Lifetime Given Reduced Mass

Go Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)

Field Strength for Barrier Suppression Ionization

Go Field Strength for Barrier Suppression Ionization = (([Permitivity-vacuum]^2)*([hP]^2)*(Ionization Potential Barrier Suppression^2))/(([Charge-e]^3)*[Mass-e]*[Bohr-r]*Final Charge)

Spectral Chirp

Go Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4)))

Mean Free Tunneling Time for Electron

Go Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization

Velocity for Delayed Coherence in Photodissociation

Go Velocity for Delayed Coherence = sqrt((2*(Binding Potential-Potential Energy of Repulsing Term))/Reduced Mass for Delayed Coherence)

Potential for Exponential Repulsion

Go Potential For Exponential Repulsion = Energy FTS*(sech((Speed FTS*Time FTS)/(2*Length Scale FTS)))^2

Bond Breakage Time

Go Bond Breakage Time = (Length Scale FTS/Speed FTS)*ln((4*Energy FTS)/Bond Breakage Time Pulse Width)

Analysis of Anisotropy

Go Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments))

Anisotropy Decay Behavior

Go Anisotropy Decay = (Parallel Transient-Perpendicular Transient)/(Parallel Transient+(2*Perpendicular Transient))

Relationship between Pulse Intensity and Electric Field Strength

Go Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c]))

Gaussian-Like Pulse

Go Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2

Mean Electron Velocity

Go Mean Electron Velocity = sqrt((2*Ionization Potential Barrier Suppression)/[Mass-e])

Pump Pulse Difference

Go Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2)

Classical Analysis of Fluorescence Anisotropy

Go Classical Analysis of Fluorescence Anisotropy = (3*(cos(Angle Between Transition Dipole Moments)^2)-1)/5

Transit Time from Center of Sphere

Go Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit)

Carrier Wavelength

Go Carrier Wavelength = (2*pi*[c])/Carrier Light Frequency

Recoil Energy for Bond Breaking

Go Energy FTS = (1/2)*Reduced Mass of Fragments*(Speed FTS^2)

Frequency Modulation

Go Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2)

Mean Free Tunneling Time Given Velocity

Go Mean Free Tunneling Time = 1/Mean Electron Velocity

Gaussian-Like Pulse Formula

Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2
f_p = sin((pi*t)/(2*T_p))^2

What is femtochemistry?

Femtochemistry is the area of physical chemistry that studies chemical reactions on extremely short timescales (approximately 10 seconds or one femtosecond, hence the name) in order to study the very act of atoms within molecules (reactants) rearranging themselves to form new molecules (products).

How to Calculate Gaussian-Like Pulse?

Gaussian-Like Pulse calculator uses Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2 to calculate 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 calculate Gaussian-Like Pulse using this online calculator? To use this online calculator for Gaussian-Like Pulse, enter Time FTS (t) & Half Width of Pulse (T_p) and hit the calculate button. Here is how the Gaussian-Like Pulse calculation can be explained with given input values -> 0.38874 = sin((pi*3E-15)/(2*7E-15))^2.

FAQ

What is 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 and is represented as f_p = sin((pi*t)/(2*T_p))^2 or Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2. Time FTS is duration of things that are subject to change & 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.

How to calculate 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 is calculated using Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2. To calculate Gaussian-Like Pulse, you need Time FTS (t) & Half Width of Pulse (T_p). With our tool, you need to enter the respective value for Time FTS & Half Width of Pulse 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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