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Beam Divergence given Diameter of Spot Formula

GoBeam Divergence Formula

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

α = \frac{d spot}{f lens}

α - Beam Divergence?d_spot - Spot Diameter?f_lens - Focal Length of Lens?

Beam Divergence given Diameter of Spot Example

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Here is how the Beam Divergence given Diameter of Spot equation looks like with Values.

Here is how the Beam Divergence given Diameter of Spot equation looks like with Units.

Here is how the Beam Divergence given Diameter of Spot equation looks like.

0.0012 = \frac{0.0037}{3}

0.0012rad = \frac{0.0037m}{3m}

0.0012 = \frac{0.0037}{3}

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Beam Divergence given Diameter of Spot Solution

Follow our step by step solution on how to calculate Beam Divergence given Diameter of Spot?

FIRST Step Consider the formula

α = \frac{d spot}{f lens}

Next Step Substitute values of Variables

∴

α = \frac{0.0037m}{3m}

Next Step Prepare to Evaluate

∴

α = \frac{0.0037}{3}

Next Step Evaluate

∴

α = 0.00123333333333333rad

LAST Step Rounding Answer

∴

α = 0.0012rad

Beam Divergence given Diameter of Spot Formula Elements

Variables

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

Spot Diameter

Spot Diameter refers to the width of the laser beam at its focal point or the point where it strikes a surface.

Symbol: d_spot

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spot Diameter

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

Other Formulas to find Beam Divergence

Go Beam Divergence

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

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 Pulse Duration of Laser

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

How to Evaluate Beam Divergence given Diameter of Spot?

Beam Divergence given Diameter of Spot evaluator uses Beam Divergence = Spot Diameter/Focal Length of Lens to evaluate the Beam Divergence, Beam Divergence given Diameter of Spot formula is defined as angle in radians made by beam incident on metal surface. Beam Divergence is denoted by α symbol.

How to evaluate Beam Divergence given Diameter of Spot using this online evaluator? To use this online evaluator for Beam Divergence given Diameter of Spot, enter Spot Diameter (d_spot) & Focal Length of Lens (f_lens) and hit the calculate button.

FAQs on Beam Divergence given Diameter of Spot

What is the formula to find Beam Divergence given Diameter of Spot?

The formula of Beam Divergence given Diameter of Spot is expressed as Beam Divergence = Spot Diameter/Focal Length of Lens. Here is an example- 0.001233 = 0.0037/3.

How to calculate Beam Divergence given Diameter of Spot?

With Spot Diameter (d_spot) & Focal Length of Lens (f_lens) we can find Beam Divergence given Diameter of Spot using the formula - Beam Divergence = Spot Diameter/Focal Length of Lens.

What are the other ways to Calculate Beam Divergence?

Here are the different ways to Calculate Beam Divergence-

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

Can the Beam Divergence given Diameter of Spot be negative?

No, the Beam Divergence given Diameter of Spot, measured in Angle cannot be negative.

Which unit is used to measure Beam Divergence given Diameter of Spot?

Beam Divergence given Diameter of Spot is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Beam Divergence given Diameter of Spot can be measured.

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Beam Divergence given Diameter of Spot Formula

​GoBeam Divergence Formula

Beam Divergence given Diameter of Spot Example

Beam Divergence given Diameter of Spot Solution

Beam Divergence given Diameter of Spot Formula Elements

Other Formulas to find Beam Divergence

Other formulas in Power Density of Laser Beam category

How to Evaluate Beam Divergence given Diameter of Spot?

FAQs on Beam Divergence given Diameter of Spot

Variable Name

GoBeam Divergence Formula