Laser Energy Output Calculator

✖Power Density of Laser Beam is the power per unit area of beam.ⓘ Power Density of Laser Beam [δ_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%
✖Laser Beam Duration is the time for which laser beam is incident on the work surface.ⓘ Laser Beam Duration [ΔT]			+10% -10%

✖Laser Energy Output is the output energy of the laser used in LBM.ⓘ Laser Energy Output [P]

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Formula

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Laser Energy Output

Formula

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

Example

`"10.38533W"=("9.49W/cm²"*pi*("3.00m")^2*("0.001232rad")^2*"10.20s")/4`

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Laser Energy Output Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Laser Energy Output - (Measured in Watt) - Laser Energy Output is the output energy of the laser used in LBM.
Power Density of Laser Beam - (Measured in Watt per Square Meter) - Power Density of Laser Beam is the power per unit area of beam.
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.
Laser Beam Duration - (Measured in Second) - Laser Beam Duration is the time for which laser beam is incident on the work surface.

STEP 1: Convert Input(s) to Base Unit

Power Density of Laser Beam: 9.49 Watt per Square Centimeter --> 94900 Watt per Square Meter (Check conversion here)
Focal Length of Lens: 3 Meter --> 3 Meter No Conversion Required
Beam Divergence: 0.001232 Radian --> 0.001232 Radian No Conversion Required
Laser Beam Duration: 10.2 Second --> 10.2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (δ_p*pi*f_lens^2*α^2*ΔT)/4 --> (94900*pi*3^2*0.001232^2*10.2)/4

Evaluating ... ...

P = 10.3853273599277

STEP 3: Convert Result to Output's Unit

10.3853273599277 Watt --> No Conversion Required

FINAL ANSWER

10.3853273599277 ≈ 10.38533 Watt <-- Laser Energy Output

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Laser Beam Machining (LBM) » Power density of laser beam » Laser Energy Output

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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

Laser Energy Output Formula

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

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 Laser Energy Output?

Laser Energy Output calculator uses Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4 to calculate the Laser Energy Output, The Laser energy output formula is defined as the output power of the laser beam used in LBM. It is used to calculate power density of laser beam. Laser Energy Output is denoted by P symbol.

How to calculate Laser Energy Output using this online calculator? To use this online calculator for Laser Energy Output, enter Power Density of Laser Beam (δ_p), Focal Length of Lens (f_lens), Beam Divergence (α) & Laser Beam Duration (ΔT) and hit the calculate button. Here is how the Laser Energy Output calculation can be explained with given input values -> 10.38532 = (94900*pi*3^2*0.001232^2*10.2)/4.

FAQ

What is Laser Energy Output?

The Laser energy output formula is defined as the output power of the laser beam used in LBM. It is used to calculate power density of laser beam and is represented as P = (δ_p*pi*f_lens^2*α^2*ΔT)/4 or Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4. Power Density of Laser Beam is the power per unit area of beam, 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 & Laser Beam Duration is the time for which laser beam is incident on the work surface.

How to calculate Laser Energy Output?

The Laser energy output formula is defined as the output power of the laser beam used in LBM. It is used to calculate power density of laser beam is calculated using Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4. To calculate Laser Energy Output, you need Power Density of Laser Beam (δ_p), Focal Length of Lens (f_lens), Beam Divergence (α) & Laser Beam Duration (ΔT). With our tool, you need to enter the respective value for Power Density of Laser Beam, Focal Length of Lens, Beam Divergence & Laser Beam Duration 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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