Focal Length given Diameter of Spot Calculator

✖Spot Diameter refers to the width of the laser beam at its focal point or the point where it strikes a surface.ⓘ Spot Diameter [d_spot]			+10% -10%
✖Beam Divergence is the angle made by the beam incident on surface of metal.ⓘ Beam Divergence [α]			+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 given Diameter of Spot [f_lens]

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Focal Length given Diameter of Spot Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Spot Diameter - (Measured in Meter) - Spot Diameter refers to the width of the laser beam at its focal point or the point where it strikes a surface.
Beam Divergence - (Measured in Radian) - Beam Divergence is the angle made by the beam incident on surface of metal.

STEP 1: Convert Input(s) to Base Unit

Spot Diameter: 0.0037 Meter --> 0.0037 Meter No Conversion Required
Beam Divergence: 0.001232 Radian --> 0.001232 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_lens = d_spot/α --> 0.0037/0.001232

Evaluating ... ...

f_lens = 3.00324675324675

STEP 3: Convert Result to Output's Unit

3.00324675324675 Meter --> No Conversion Required

FINAL ANSWER

3.00324675324675 ≈ 3.003247 Meter <-- Focal Length of Lens

(Calculation completed in 00.004 seconds)

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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

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< Power Density of Laser Beam Calculators

Focal Length of Lens

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

Beam Divergence

LaTeX 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

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

Laser Energy Output

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

Focal Length given Diameter of Spot Formula

LaTeX Go

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

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 Focal Length given Diameter of Spot?

Focal Length given Diameter of Spot calculator uses Focal Length of Lens = Spot Diameter/Beam Divergence to calculate the Focal Length of Lens, Focal Length given Diameter of Spot formula is defined as distance from center of lens to principal foci (or focal points) of lens. Focal Length of Lens is denoted by f_lens symbol.

How to calculate Focal Length given Diameter of Spot using this online calculator? To use this online calculator for Focal Length given Diameter of Spot, enter Spot Diameter (d_spot) & Beam Divergence (α) and hit the calculate button. Here is how the Focal Length given Diameter of Spot calculation can be explained with given input values -> 3.003247 = 0.0037/0.001232.

FAQ

What is Focal Length given Diameter of Spot?

Focal Length given Diameter of Spot formula is defined as distance from center of lens to principal foci (or focal points) of lens and is represented as f_lens = d_spot/α or Focal Length of Lens = Spot Diameter/Beam Divergence. Spot Diameter refers to the width of the laser beam at its focal point or the point where it strikes a surface & Beam Divergence is the angle made by the beam incident on surface of metal.

How to calculate Focal Length given Diameter of Spot?

Focal Length given Diameter of Spot formula is defined as distance from center of lens to principal foci (or focal points) of lens is calculated using Focal Length of Lens = Spot Diameter/Beam Divergence. To calculate Focal Length given Diameter of Spot, you need Spot Diameter (d_spot) & Beam Divergence (α). With our tool, you need to enter the respective value for Spot Diameter & Beam Divergence 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 Focal Length of Lens?

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

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

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