Area of Laser Beam at Focal Point Calculator

✖The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.ⓘ Empirical Constant [A₀]			+10% -10%
✖Laser Energy Output in cut rate is the output energy of the laser used in LBM.ⓘ Laser Energy Output in Cut Rate [P_out]			+10% -10%
✖Vaporisation Energy of Material is the energy required to turn the material into vapor.ⓘ Vaporisation Energy of Material [E]			+10% -10%
✖Cutting Rate is the rate at which cutting takes place in length per time.ⓘ Cutting Rate [V_c]			+10% -10%
✖Thickness refers to the measure of the distance between opposite surfaces of an object or material.ⓘ Thickness [t]			+10% -10%

✖Laser Beam Area at Focal Point refers to the cross-sectional area of a laser beam at the focal point of a focusing lens or mirror.ⓘ Area of Laser Beam at Focal Point [A_beam]

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Formula

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Area of Laser Beam at Focal Point

Formula

`"A"_{"beam"} = ("A"_{"0"}*"P"_{"out"})/("E"*"V"_{"c"}*"t")`

Example

`"2.09999mm²"=(".408"*"10.397W")/("9.999998W/mm³"*"10.10mm/min"*"1.199999m")`

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Area of Laser Beam at Focal Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness)
A_beam = (A₀*P_out)/(E*V_c*t)
This formula uses 6 Variables

Variables Used

Laser Beam Area at Focal Point - (Measured in Square Meter) - Laser Beam Area at Focal Point refers to the cross-sectional area of a laser beam at the focal point of a focusing lens or mirror.
Empirical Constant - The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.
Laser Energy Output in Cut Rate - (Measured in Watt) - Laser Energy Output in cut rate is the output energy of the laser used in LBM.
Vaporisation Energy of Material - (Measured in Watt Per Cubic Meter) - Vaporisation Energy of Material is the energy required to turn the material into vapor.
Cutting Rate - (Measured in Meter per Second) - Cutting Rate is the rate at which cutting takes place in length per time.
Thickness - (Measured in Meter) - Thickness refers to the measure of the distance between opposite surfaces of an object or material.

STEP 1: Convert Input(s) to Base Unit

Empirical Constant: 0.408 --> No Conversion Required
Laser Energy Output in Cut Rate: 10.397 Watt --> 10.397 Watt No Conversion Required
Vaporisation Energy of Material: 9.999998 Watt Per Cubic Millimeter --> 9999998000 Watt Per Cubic Meter (Check conversion here)
Cutting Rate: 10.1 Millimeter per Minute --> 0.000168333333333333 Meter per Second (Check conversion here)
Thickness: 1.199999 Meter --> 1.199999 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_beam = (A₀*P_out)/(E*V_c*t) --> (0.408*10.397)/(9999998000*0.000168333333333333*1.199999)

Evaluating ... ...

A_beam = 2.0999902888015E-06

STEP 3: Convert Result to Output's Unit

2.0999902888015E-06 Square Meter -->2.0999902888015 Square Millimeter (Check conversion here)

FINAL ANSWER

2.0999902888015 ≈ 2.09999 Square Millimeter <-- Laser Beam Area at Focal Point

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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National Institute of Technology (NIT), Srinagar

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< 6 Cutting Rate in LBM Calculators

Area of Laser Beam at Focal Point

Go Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness)

Vaporisation Energy of Material

Go Vaporisation Energy of Material = (Empirical Constant*Laser Energy Output in Cut Rate)/(Cutting Rate*Laser Beam Area at Focal Point*Thickness)

Thickness of Material

Go Thickness = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Cutting Rate)

Cutting Rate

Go Cutting Rate = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)

Laser Power Incident on Surface

Go Laser Energy Output in Cut Rate = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Empirical Constant

Constant Dependent of Material

Go Empirical Constant = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Laser Energy Output in Cut Rate

Area of Laser Beam at Focal Point Formula

Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness)
A_beam = (A₀*P_out)/(E*V_c*t)

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 Area of Laser Beam at Focal Point?

Area of Laser Beam at Focal Point calculator uses Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness) to calculate the Laser Beam Area at Focal Point, The Area of laser beam at focal point formula is defined as the area of the cross section of beam at the focal point of laser beam used in LBM. Laser Beam Area at Focal Point is denoted by A_beam symbol.

How to calculate Area of Laser Beam at Focal Point using this online calculator? To use this online calculator for Area of Laser Beam at Focal Point, enter Empirical Constant (A₀), Laser Energy Output in Cut Rate (P_out), Vaporisation Energy of Material (E), Cutting Rate (V_c) & Thickness (t) and hit the calculate button. Here is how the Area of Laser Beam at Focal Point calculation can be explained with given input values -> 2.1E+6 = (0.408*10.397)/(9999998000*0.000168333333333333*1.199999).

FAQ

What is Area of Laser Beam at Focal Point?

The Area of laser beam at focal point formula is defined as the area of the cross section of beam at the focal point of laser beam used in LBM and is represented as A_beam = (A₀*P_out)/(E*V_c*t) or Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness). The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration, Laser Energy Output in cut rate is the output energy of the laser used in LBM, Vaporisation Energy of Material is the energy required to turn the material into vapor, Cutting Rate is the rate at which cutting takes place in length per time & Thickness refers to the measure of the distance between opposite surfaces of an object or material.

How to calculate Area of Laser Beam at Focal Point?

The Area of laser beam at focal point formula is defined as the area of the cross section of beam at the focal point of laser beam used in LBM is calculated using Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy Output in Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness). To calculate Area of Laser Beam at Focal Point, you need Empirical Constant (A₀), Laser Energy Output in Cut Rate (P_out), Vaporisation Energy of Material (E), Cutting Rate (V_c) & Thickness (t). With our tool, you need to enter the respective value for Empirical Constant, Laser Energy Output in Cut Rate, Vaporisation Energy of Material, Cutting Rate & Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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