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Pulse Duration of Laser Formula

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

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

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

Pulse Duration of Laser Example

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Here is how the Pulse Duration of Laser equation looks like with Values.

Here is how the Pulse Duration of Laser equation looks like with Units.

Here is how the Pulse Duration of Laser equation looks like.

10.2046 = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 9.49}

10.2046s = \frac{4 \cdot 10.39W}{3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 9.49W/cm²}

10.2046 = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 9.49}

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Pulse Duration of Laser Solution

Follow our step by step solution on how to calculate Pulse Duration of Laser?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔT = \frac{4 \cdot 10.39W}{π \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 9.49W/cm²}

Next Step Substitute values of Constants

∴

ΔT = \frac{4 \cdot 10.39W}{3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 9.49W/cm²}

Next Step Convert Units

∴

ΔT = \frac{4 \cdot 10.39W}{3.1416 \cdot {3m}^{2} \cdot {0.0012rad}^{2} \cdot 94900W/m²}

Next Step Prepare to Evaluate

∴

ΔT = \frac{4 \cdot 10.39}{3.1416 \cdot 3^{2} \cdot {0.0012}^{2} \cdot 94900}

Next Step Evaluate

∴

ΔT = 10.2045892562733s

LAST Step Rounding Answer

∴

ΔT = 10.2046s

Pulse Duration of Laser Formula Elements

Variables

Constants

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

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

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

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 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}}

How to Evaluate Pulse Duration of Laser?

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

FAQs on Pulse Duration of Laser

What is the formula to find Pulse Duration of Laser?

The formula of Pulse Duration of Laser is expressed as Laser Beam Duration = (4*Laser Energy Output)/(pi*Focal Length of Lens^2*Beam Divergence^2*Power Density of Laser Beam). Here is an example- 10.20459 = (4*10.39)/(pi*3^2*0.001232^2*94900).

How to calculate Pulse Duration of Laser?

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

Can the Pulse Duration of Laser be negative?

No, the Pulse Duration of Laser, measured in Time cannot be negative.

Which unit is used to measure Pulse Duration of Laser?

Pulse Duration of Laser is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Pulse Duration of Laser can be measured.

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Pulse Duration of Laser Formula

Pulse Duration of Laser Example

Pulse Duration of Laser Solution

Pulse Duration of Laser Formula Elements

Other formulas in Power Density of Laser Beam category

How to Evaluate Pulse Duration of Laser?

FAQs on Pulse Duration of Laser

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