Power Density of Laser Beam Calculator

✖Laser Energy Output refers to the amount of energy emitted by a laser over a specific period of time.ⓘ 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%
✖Laser Beam Duration is the time for which laser beam is incident on the work surface.ⓘ Laser Beam Duration [ΔT]			+10% -10%

✖Power Density of Laser Beam is the power per unit area of beam.ⓘ Power Density of Laser Beam [δ_p]

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Power Density of Laser Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power Density of Laser Beam - (Measured in Watt per Square Meter) - Power Density of Laser Beam is the power per unit area of beam.
Laser Energy Output - (Measured in Watt) - Laser Energy Output refers to the amount of energy emitted by a laser over a specific period of time.
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

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
Laser Beam Duration: 10.2 Second --> 10.2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_p = (4*P)/(pi*f_lens^2*α^2*ΔT) --> (4*10.39)/(pi*3^2*0.001232^2*10.2)

Evaluating ... ...

δ_p = 94942.6980804255

STEP 3: Convert Result to Output's Unit

94942.6980804255 Watt per Square Meter -->9.49426980804255 Watt per Square Centimeter (Check conversion here)

FINAL ANSWER

9.49426980804255 ≈ 9.49427 Watt per Square Centimeter <-- Power Density of Laser Beam

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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Verified by Nishan Poojary

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

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< Power Density of Laser Beam Calculators

Focal Length of Lens

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

Beam Divergence

LaTeX 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

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

Laser Energy Output

LaTeX Go 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 Formula

LaTeX Go

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

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 Power Density of Laser Beam?

Power Density of Laser Beam calculator uses Power Density of Laser Beam = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration) to calculate the Power Density of Laser Beam, The Power Density of Laser Beam formula is defined as the power contained in per unit area of beam cross section. Power Density of Laser Beam is denoted by δ_p symbol.

How to calculate Power Density of Laser Beam using this online calculator? To use this online calculator for Power Density of Laser Beam, enter Laser Energy Output (P), Focal Length of Lens (f_lens), Beam Divergence (α) & Laser Beam Duration (ΔT) and hit the calculate button. Here is how the Power Density of Laser Beam calculation can be explained with given input values -> 0.000949 = (4*10.39)/(pi*3^2*0.001232^2*10.2).

FAQ

What is Power Density of Laser Beam?

The Power Density of Laser Beam formula is defined as the power contained in per unit area of beam cross section and is represented as δ_p = (4*P)/(pi*f_lens^2*α^2*ΔT) or Power Density of Laser Beam = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration). Laser Energy Output refers to the amount of energy emitted by a laser over a specific period of time, 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 Power Density of Laser Beam?

The Power Density of Laser Beam formula is defined as the power contained in per unit area of beam cross section is calculated using Power Density of Laser Beam = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration). To calculate Power Density of Laser Beam, you need Laser Energy Output (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 Laser Energy Output, 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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