Relationship between Pulse Intensity and Electric Field Strength Calculator

✖Intensity of Laser is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.ⓘ Intensity of Laser [I]

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✖Electric field strength for Ultrafast Radiation is a measure of the electric force exerted per unit positive charge.ⓘ Relationship between Pulse Intensity and Electric Field Strength [E₀]

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Formula

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Relationship between Pulse Intensity and Electric Field Strength

Formula

`"E"_{"0"} = sqrt((2*"I")/("[Permitivity-vacuum]"*"[c]"))`

Example

`"51.36497V/m"=sqrt((2*"3.5W/m²")/("[Permitivity-vacuum]"*"[c]"))`

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Relationship between Pulse Intensity and Electric Field Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c]))
E₀ = sqrt((2*I)/([Permitivity-vacuum]*[c]))
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
[c] - Light speed in vacuum Value Taken As 299792458.0

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Electric Field Strength for Ultrafast Radiation - (Measured in Volt per Meter) - Electric field strength for Ultrafast Radiation is a measure of the electric force exerted per unit positive charge.
Intensity of Laser - (Measured in Watt per Square Meter) - Intensity of Laser is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.

STEP 1: Convert Input(s) to Base Unit

Intensity of Laser: 3.5 Watt per Square Meter --> 3.5 Watt per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₀ = sqrt((2*I)/([Permitivity-vacuum]*[c])) --> sqrt((2*3.5)/([Permitivity-vacuum]*[c]))

Evaluating ... ...

E₀ = 51.3649693372208

STEP 3: Convert Result to Output's Unit

51.3649693372208 Volt per Meter --> No Conversion Required

FINAL ANSWER

51.3649693372208 ≈ 51.36497 Volt per Meter <-- Electric Field Strength for Ultrafast Radiation

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Femtochemistry » Relationship between Pulse Intensity and Electric Field Strength

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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

Relationship between Pulse Intensity and Electric Field Strength Formula

Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c]))
E₀ = sqrt((2*I)/([Permitivity-vacuum]*[c]))

Why is Relationship between Pulse Intensity and Electric Field Strength necessary?

The Relationship between Pulse Intensity and Electric Field Strength is necessary because interaction of low intensity radiation with matter must be cast in quantum mechanical terms. However, at very high photon densities the interaction can be cast in classical terms.

How to Calculate Relationship between Pulse Intensity and Electric Field Strength?

Relationship between Pulse Intensity and Electric Field Strength calculator uses Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c])) to calculate the Electric Field Strength for Ultrafast Radiation, The Relationship between Pulse Intensity and Electric Field Strength formula is defined as a relationship necessary to develop a model for intense field molecule interactions. It takes into account the magnitude of the field produced by the light source. Electric Field Strength for Ultrafast Radiation is denoted by E₀ symbol.

How to calculate Relationship between Pulse Intensity and Electric Field Strength using this online calculator? To use this online calculator for Relationship between Pulse Intensity and Electric Field Strength, enter Intensity of Laser (I) and hit the calculate button. Here is how the Relationship between Pulse Intensity and Electric Field Strength calculation can be explained with given input values -> 51.36497 = sqrt((2*3.5)/([Permitivity-vacuum]*[c])).

FAQ

What is Relationship between Pulse Intensity and Electric Field Strength?

The Relationship between Pulse Intensity and Electric Field Strength formula is defined as a relationship necessary to develop a model for intense field molecule interactions. It takes into account the magnitude of the field produced by the light source and is represented as E₀ = sqrt((2*I)/([Permitivity-vacuum]*[c])) or Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c])). Intensity of Laser is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.

How to calculate Relationship between Pulse Intensity and Electric Field Strength?

The Relationship between Pulse Intensity and Electric Field Strength formula is defined as a relationship necessary to develop a model for intense field molecule interactions. It takes into account the magnitude of the field produced by the light source is calculated using Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c])). To calculate Relationship between Pulse Intensity and Electric Field Strength, you need Intensity of Laser (I). With our tool, you need to enter the respective value for Intensity of Laser 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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