Pulse Duration of Laser Calculator

✖Laser Energy Output is the output energy of the laser used in LBM.ⓘ Laser Energy Output [P]			+10% -10%
✖Focal Length of Lens is determined when lens is focused at infinity. Lens focal length tells us angle of view and how much of scene will be captured. The longer focal length, a narrower angle of view.ⓘ Focal Length of Lens [f_lens]			+10% -10%
✖Beam Divergence is the angle made by the beam incident on surface of metal.ⓘ Beam Divergence [α]			+10% -10%
✖Power Density of Laser Beam is the power per unit area of beam.ⓘ Power Density of Laser Beam [δ_p]			+10% -10%

✖Laser Beam Duration is the time for which laser beam is incident on the work surface.ⓘ Pulse Duration of Laser [ΔT]

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Formula

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Pulse Duration of Laser

Formula

`"ΔT" = (4*"P")/(pi*"f"_{"lens"}^2*"α"^2*"δ"_{"p"})`

Example

`"10.20459s"=(4*"10.39W")/(pi*("3.00m")^2*("0.001232rad")^2*"9.49W/cm²")`

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Pulse Duration of Laser Solution

STEP 0: Pre-Calculation Summary

Formula Used

Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam)
ΔT = (4*P)/(pi*f_lens^2*α^2*δ_p)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Laser Beam Duration - (Measured in Second) - Laser Beam Duration is the time for which laser beam is incident on the work surface.
Laser Energy Output - (Measured in Watt) - Laser Energy Output is the output energy of the laser used in LBM.
Focal Length of Lens - (Measured in Meter) - Focal Length of Lens is determined when lens is focused at infinity. Lens focal length tells us angle of view and how much of scene will be captured. The longer focal length, a narrower angle of view.
Beam Divergence - (Measured in Radian) - Beam Divergence is the angle made by the beam incident on surface of metal.
Power Density of Laser Beam - (Measured in Watt per Square Meter) - Power Density of Laser Beam is the power per unit area of beam.

STEP 1: Convert Input(s) to Base Unit

Laser Energy Output: 10.39 Watt --> 10.39 Watt No Conversion Required
Focal Length of Lens: 3 Meter --> 3 Meter No Conversion Required
Beam Divergence: 0.001232 Radian --> 0.001232 Radian No Conversion Required
Power Density of Laser Beam: 9.49 Watt per Square Centimeter --> 94900 Watt per Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT = (4*P)/(pi*f_lens^2*α^2*δ_p) --> (4*10.39)/(pi*3^2*0.001232^2*94900)

Evaluating ... ...

ΔT = 10.2045892562733

STEP 3: Convert Result to Output's Unit

10.2045892562733 Second --> No Conversion Required

FINAL ANSWER

10.2045892562733 ≈ 10.20459 Second <-- Laser Beam Duration

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 8 Power density of laser beam Calculators

Focal Length of Lens

Go Focal Length of Lens = sqrt((4*Laser Energy Output)/(pi* Power Density of Laser Beam*Beam Divergence^2*Laser Beam Duration))

Beam Divergence

Go Beam Divergence = sqrt((4*Laser Energy Output)/(pi*Focal Length of Lens^2*Power Density of Laser Beam*Laser Beam Duration))

Power Density of Laser Beam

Go Power Density of Laser Beam = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)

Pulse Duration of Laser

Go Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam)

Laser Energy Output

Go Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4

Beam Divergence given Diameter of Spot

Go Beam Divergence = Spot Diameter/Focal Length of Lens

Focal Length given Diameter of Spot

Go Focal Length of Lens = Spot Diameter/Beam Divergence

Diameter of Spot Produced by Laser

Go Spot Diameter = Focal Length of Lens*Beam Divergence

Pulse Duration of Laser Formula

Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam)
ΔT = (4*P)/(pi*f_lens^2*α^2*δ_p)

How does Laser Beam Machining work ?

Laser (light amplification by stimulated emission of radiation) beam machining (LBM) utilises the energy from the coherent light beams called laser (light amplification by stimulated emission of radiation). The basic principle utilised in LBM is that under proper conditions light energy of a particular frequency is used to stimulate the electrons in an atom to emit additional light with exactly the same characteristics of the original light source.

How to Calculate Pulse Duration of Laser?

Pulse Duration of Laser calculator uses Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam) to calculate the Laser Beam Duration, The Pulse duration of laser formula is defined as the time in seconds for which the laser is being operated on the surface of metal. Laser Beam Duration is denoted by ΔT symbol.

How to calculate Pulse Duration of Laser using this online calculator? To use this online calculator for Pulse Duration of Laser, enter Laser Energy Output (P), Focal Length of Lens (f_lens), Beam Divergence (α) & Power Density of Laser Beam (δ_p) and hit the calculate button. Here is how the Pulse Duration of Laser calculation can be explained with given input values -> 10.20459 = (4*10.39)/(pi*3^2*0.001232^2*94900).

FAQ

What is Pulse Duration of Laser?

The Pulse duration of laser formula is defined as the time in seconds for which the laser is being operated on the surface of metal and is represented as ΔT = (4*P)/(pi*f_lens^2*α^2*δ_p) or Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam). Laser Energy Output is the output energy of the laser used in LBM, Focal Length of Lens is determined when lens is focused at infinity. Lens focal length tells us angle of view and how much of scene will be captured. The longer focal length, a narrower angle of view, Beam Divergence is the angle made by the beam incident on surface of metal & Power Density of Laser Beam is the power per unit area of beam.

How to calculate Pulse Duration of Laser?

The Pulse duration of laser formula is defined as the time in seconds for which the laser is being operated on the surface of metal is calculated using Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam). To calculate Pulse Duration of Laser, you need Laser Energy Output (P), Focal Length of Lens (f_lens), Beam Divergence (α) & Power Density of Laser Beam (δ_p). With our tool, you need to enter the respective value for Laser Energy Output, Focal Length of Lens, Beam Divergence & Power Density of Laser Beam 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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