Beam Divergence given Diameter of Spot Calculator

✖Spot Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Spot Diameter [d_spot]			+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 given Diameter of Spot [α]

⎘ Copy

👎

Formula

✖

Beam Divergence given Diameter of Spot

Formula

`"α" = "d"_{"spot"}/"f"_{"lens"}`

Example

`"0.001233rad"="0.0037m"/"3.00m"`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Beam Divergence given Diameter of Spot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Divergence = Spot Diameter/Focal Length of Lens
α = d_spot/f_lens
This formula uses 3 Variables

Variables Used

Beam Divergence - (Measured in Radian) - Beam Divergence is the angle made by the beam incident on surface of metal.
Spot Diameter - (Measured in Meter) - Spot Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Spot Diameter: 0.0037 Meter --> 0.0037 Meter No Conversion Required
Focal Length of Lens: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = d_spot/f_lens --> 0.0037/3

Evaluating ... ...

α = 0.00123333333333333

STEP 3: Convert Result to Output's Unit

0.00123333333333333 Radian --> No Conversion Required

FINAL ANSWER

0.00123333333333333 ≈ 0.001233 Radian <-- Beam Divergence

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Unconventional machining processes » Laser Beam Machining (LBM) » Power density of laser beam » Beam Divergence given Diameter of Spot

Credits

Created by Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 8 Power density of laser beam Calculators

Focal Length of Lens

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

Beam Divergence

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

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

Pulse Duration of Laser

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

Laser Energy Output

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

Beam Divergence given Diameter of Spot

Go Beam Divergence = Spot Diameter/Focal Length of Lens

Focal Length given Diameter of Spot

Go Focal Length of Lens = Spot Diameter/Beam Divergence

Diameter of Spot Produced by Laser

Go Spot Diameter = Focal Length of Lens*Beam Divergence

Beam Divergence given Diameter of Spot Formula

Beam Divergence = Spot Diameter/Focal Length of Lens
α = d_spot/f_lens

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 Beam Divergence given Diameter of Spot?

Beam Divergence given Diameter of Spot calculator uses Beam Divergence = Spot Diameter/Focal Length of Lens to calculate 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 calculate Beam Divergence given Diameter of Spot using this online calculator? To use this online calculator for Beam Divergence given Diameter of Spot, enter Spot Diameter (d_spot) & Focal Length of Lens (f_lens) and hit the calculate button. Here is how the Beam Divergence given Diameter of Spot calculation can be explained with given input values -> 0.001233 = 0.0037/3.

FAQ

What is Beam Divergence given Diameter of Spot?

Beam divergence given diameter of spot formula is defined as angle in radians made by beam incident on metal surface and is represented as α = d_spot/f_lens or Beam Divergence = Spot Diameter/Focal Length of Lens. Spot Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & 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.

How to calculate Beam Divergence given Diameter of Spot?

Beam divergence given diameter of spot formula is defined as angle in radians made by beam incident on metal surface is calculated using Beam Divergence = Spot Diameter/Focal Length of Lens. To calculate Beam Divergence given Diameter of Spot, you need Spot Diameter (d_spot) & Focal Length of Lens (f_lens). With our tool, you need to enter the respective value for Spot Diameter & Focal Length of Lens and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Beam Divergence?

In this formula, Beam Divergence uses Spot Diameter & Focal Length of Lens. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search