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Area of Laser Beam at Focal Point Formula

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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. Check FAQs

A beam = \frac{A 0 \cdot P out}{E \cdot V c \cdot t}

A_beam - Laser Beam Area at Focal Point?A₀ - Empirical Constant?P_out - Laser Energy during Cut Rate?E - Vaporisation Energy of Material?V_c - Cutting Rate?t - Thickness?

Area of Laser Beam at Focal Point Example

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Here is how the Area of Laser Beam at Focal Point equation looks like with Values.

Here is how the Area of Laser Beam at Focal Point equation looks like with Units.

Here is how the Area of Laser Beam at Focal Point equation looks like.

2.1 = \frac{0.408 \cdot 10.397}{10 \cdot 10.1 \cdot 1.2}

2.1mm² = \frac{0.408 \cdot 10.397W}{10W/mm³ \cdot 10.1mm/min \cdot 1.2m}

2.1 = \frac{0.408 \cdot 10.397}{10 \cdot 10.1 \cdot 1.2}

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Area of Laser Beam at Focal Point Solution

Follow our step by step solution on how to calculate Area of Laser Beam at Focal Point?

FIRST Step Consider the formula

A beam = \frac{A 0 \cdot P out}{E \cdot V c \cdot t}

Next Step Substitute values of Variables

∴

A beam = \frac{0.408 \cdot 10.397W}{10W/mm³ \cdot 10.1mm/min \cdot 1.2m}

Next Step Convert Units

∴

A beam = \frac{0.408 \cdot 10.397W}{1E+10W/m³ \cdot 0.0002m/s \cdot 1.2m}

Next Step Prepare to Evaluate

∴

A beam = \frac{0.408 \cdot 10.397}{1E+10 \cdot 0.0002 \cdot 1.2}

Next Step Evaluate

∴

A beam = 2.0999902888015E-06m²

Next Step Convert to Output's Unit

∴

A beam = 2.0999902888015mm²

LAST Step Rounding Answer

∴

A beam = 2.1mm²

Area of Laser Beam at Focal Point Formula Elements

Variables

Laser Beam Area at Focal Point

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.

Symbol: A_beam

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Laser Beam Area at Focal Point

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.

Symbol: A₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Empirical Constant

Laser Energy during Cut Rate

Laser Energy during Cut Rate is the energy released from the laser used in LBM.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Laser Energy during Cut Rate

Vaporisation Energy of Material

Vaporisation Energy of Material is the energy required to turn the material into vapor.

Symbol: E

Measurement: Power DensityUnit: W/mm³

Note: Value should be greater than 0.

Formulas to find Vaporisation Energy of Material

Cutting Rate

Cutting Rate is the rate at which cutting takes place in length per time.

Symbol: V_c

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Cutting Rate

Thickness

Thickness refers to the measurement of the distance through an object or material from one surface to its opposite surface. It indicates how thick the object or material is.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness

Other formulas in Cutting Rate in LBM category

Go Cutting Rate

V c = \frac{A 0 \cdot P out}{E \cdot A beam \cdot t}

Go Constant Dependent of Material

A 0 = V c \cdot \frac{E \cdot A beam \cdot t}{P out}

Go Laser Power Incident on Surface

P out = V c \cdot \frac{E \cdot A beam \cdot t}{A 0}

Go Vaporisation Energy of Material

E = \frac{A 0 \cdot P out}{V c \cdot A beam \cdot t}

How to Evaluate Area of Laser Beam at Focal Point?

Area of Laser Beam at Focal Point evaluator uses Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness) to evaluate 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 evaluate Area of Laser Beam at Focal Point using this online evaluator? To use this online evaluator for Area of Laser Beam at Focal Point, enter Empirical Constant (A₀), Laser Energy during Cut Rate (P_out), Vaporisation Energy of Material (E), Cutting Rate (V_c) & Thickness (t) and hit the calculate button.

FAQs on Area of Laser Beam at Focal Point

What is the formula to find Area of Laser Beam at Focal Point?

The formula of Area of Laser Beam at Focal Point is expressed as Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness). Here is an example- 2.1E+6 = (0.408*10.397)/(9999998000*0.000168333333333333*1.199999).

How to calculate Area of Laser Beam at Focal Point?

With Empirical Constant (A₀), Laser Energy during Cut Rate (P_out), Vaporisation Energy of Material (E), Cutting Rate (V_c) & Thickness (t) we can find Area of Laser Beam at Focal Point using the formula - Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness).

Can the Area of Laser Beam at Focal Point be negative?

No, the Area of Laser Beam at Focal Point, measured in Area cannot be negative.

Which unit is used to measure Area of Laser Beam at Focal Point?

Area of Laser Beam at Focal Point is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Laser Beam at Focal Point can be measured.

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Area of Laser Beam at Focal Point Formula

Area of Laser Beam at Focal Point Example

Area of Laser Beam at Focal Point Solution

Area of Laser Beam at Focal Point Formula Elements

Other formulas in Cutting Rate in LBM category

How to Evaluate Area of Laser Beam at Focal Point?

FAQs on Area of Laser Beam at Focal Point

Variable Name