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Power Density of Laser Beam Formula

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

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

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

Power Density of Laser Beam Example

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Here is how the Power Density of Laser Beam equation looks like with Values.

Here is how the Power Density of Laser Beam equation looks like with Units.

Here is how the Power Density of Laser Beam equation looks like.

9.4943 = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}

9.4943W/cm² = \frac{4 \cdot 10.39W}{3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}

9.4943 = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}

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Power Density of Laser Beam Solution

Follow our step by step solution on how to calculate Power Density of Laser Beam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ p = \frac{4 \cdot 10.39W}{π \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}

Next Step Substitute values of Constants

∴

δ p = \frac{4 \cdot 10.39W}{3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 10.2s}

Next Step Prepare to Evaluate

∴

δ p = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 10.2}

Next Step Evaluate

∴

δ p = 94942.6980804255W/m²

Next Step Convert to Output's Unit

∴

δ p = 9.49426980804255W/cm²

LAST Step Rounding Answer

∴

δ p = 9.4943W/cm²

Power Density of Laser Beam Formula Elements

Variables

Constants

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

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

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 Laser Energy Output

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

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 Power Density of Laser Beam?

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

FAQs on Power Density of Laser Beam

What is the formula to find Power Density of Laser Beam?

The formula of Power Density of Laser Beam is expressed as Power Density of Laser Beam = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Laser Beam Duration). Here is an example- 0.000949 = (4*10.39)/(pi*3^2*0.001232^2*10.2).

How to calculate Power Density of Laser Beam?

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

Can the Power Density of Laser Beam be negative?

No, the Power Density of Laser Beam, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Power Density of Laser Beam?

Power Density of Laser Beam is usually measured using the Watt per Square Centimeter[W/cm²] for Heat Flux Density. Watt per Square Meter[W/cm²], Kilowatt per Square Meter[W/cm²], Watt per Square Inch[W/cm²] are the few other units in which Power Density of Laser Beam can be measured.

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Power Density of Laser Beam Formula

Power Density of Laser Beam Example

Power Density of Laser Beam Solution

Power Density of Laser Beam Formula Elements

Other formulas in Power Density of Laser Beam category

How to Evaluate Power Density of Laser Beam?

FAQs on Power Density of Laser Beam

Variable Name