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Laser Energy Output Formula

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Laser Energy Output refers to the amount of energy emitted by a laser over a specific period of time. Check FAQs

P = \frac{δ p \cdot π \cdot {f lens}^{2} \cdot α^{2} \cdot ΔT}{4}

P - Laser Energy Output?δ_p - Power Density of Laser Beam?f_lens - Focal Length of Lens?α - Beam Divergence?ΔT - Laser Beam Duration?π - Archimedes' constant?

Laser Energy Output Example

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Here is how the Laser Energy Output equation looks like with Values.

Here is how the Laser Energy Output equation looks like with Units.

Here is how the Laser Energy Output equation looks like.

10.3853 = \frac{9.49 \cdot 3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}{4}

10.3853W = \frac{9.49W/cm² \cdot 3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}{4}

10.3853 = \frac{9.49 \cdot 3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}{4}

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Laser Energy Output Solution

Follow our step by step solution on how to calculate Laser Energy Output?

FIRST Step Consider the formula

P = \frac{δ p \cdot π \cdot {f lens}^{2} \cdot α^{2} \cdot ΔT}{4}

Next Step Substitute values of Variables

∴

P = \frac{9.49W/cm² \cdot π \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}{4}

Next Step Substitute values of Constants

∴

P = \frac{9.49W/cm² \cdot 3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}{4}

Next Step Convert Units

∴

P = \frac{94900W/m² \cdot 3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}{4}

Next Step Prepare to Evaluate

∴

P = \frac{94900 \cdot 3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}{4}

Next Step Evaluate

∴

P = 10.3853273599277W

LAST Step Rounding Answer

∴

P = 10.3853W

Laser Energy Output Formula Elements

Variables

Constants

Laser Energy Output

Laser Energy Output refers to the amount of energy emitted by a laser over a specific period of time.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Laser Energy Output

Power Density of Laser Beam

Power Density of Laser Beam is the power per unit area of beam.

Symbol: δ_p

Measurement: Heat Flux DensityUnit: W/cm²

Note: Value should be greater than 0.

Formulas to find Power Density of Laser Beam

Focal Length of Lens

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.

Symbol: f_lens

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Focal Length of Lens

Beam Divergence

Beam Divergence is the angle made by the beam incident on surface of metal.

Symbol: α

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Beam Divergence

Laser Beam Duration

Laser Beam Duration is the time for which laser beam is incident on the work surface.

Symbol: ΔT

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Laser Beam Duration

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Power Density of Laser Beam category

Go Power Density of Laser Beam

δ p = \frac{4 \cdot P}{π \cdot {f lens}^{2} \cdot α^{2} \cdot ΔT}

Go Focal Length of Lens

f lens = \sqrt{\frac{4 \cdot P}{π \cdot δ p \cdot α^{2} \cdot ΔT}}

Go Beam Divergence

α = \sqrt{\frac{4 \cdot P}{π \cdot {f lens}^{2} \cdot δ p \cdot ΔT}}

Go Pulse Duration of Laser

ΔT = \frac{4 \cdot P}{π \cdot {f lens}^{2} \cdot α^{2} \cdot δ p}

How to Evaluate Laser Energy Output?

Laser Energy Output evaluator uses Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4 to evaluate 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 evaluate Laser Energy Output using this online evaluator? To use this online evaluator 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.

FAQs on Laser Energy Output

What is the formula to find Laser Energy Output?

The formula of Laser Energy Output is expressed as Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4. Here is an example- 10.38532 = (94900*pi*3^2*0.001232^2*10.2)/4.

How to calculate Laser Energy Output?

With Power Density of Laser Beam (δ_p), Focal Length of Lens (f_lens), Beam Divergence (α) & Laser Beam Duration (ΔT) we can find Laser Energy Output using the formula - Laser Energy Output = (Power Density of Laser Beam*pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration)/4. This formula also uses Archimedes' constant .

Can the Laser Energy Output be negative?

No, the Laser Energy Output, measured in Power cannot be negative.

Which unit is used to measure Laser Energy Output?

Laser Energy Output is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Laser Energy Output can be measured.

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Laser Energy Output Formula

Laser Energy Output Example

Laser Energy Output Solution

Laser Energy Output Formula Elements

Other formulas in Power Density of Laser Beam category

How to Evaluate Laser Energy Output?

FAQs on Laser Energy Output

Variable Name