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Focal Length given Diameter of Spot Formula

GoFocal Length of Lens Formula

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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. Check FAQs

f lens = \frac{d spot}{α}

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

Focal Length given Diameter of Spot Example

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Here is how the Focal Length given Diameter of Spot equation looks like with Values.

Here is how the Focal Length given Diameter of Spot equation looks like with Units.

Here is how the Focal Length given Diameter of Spot equation looks like.

3.0032 = \frac{0.0037}{0.0012}

3.0032m = \frac{0.0037m}{0.0012rad}

3.0032 = \frac{0.0037}{0.0012}

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Focal Length given Diameter of Spot Solution

Follow our step by step solution on how to calculate Focal Length given Diameter of Spot?

FIRST Step Consider the formula

f lens = \frac{d spot}{α}

Next Step Substitute values of Variables

∴

f lens = \frac{0.0037m}{0.0012rad}

Next Step Prepare to Evaluate

∴

f lens = \frac{0.0037}{0.0012}

Next Step Evaluate

∴

f lens = 3.00324675324675m

LAST Step Rounding Answer

∴

f lens = 3.0032m

Focal Length given Diameter of Spot Formula Elements

Variables

Focal Length of Lens

Symbol: f_lens

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Focal Length of Lens

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

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

Other Formulas to find Focal Length of Lens

Go Focal Length of Lens

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

α = \sqrt{\frac{4 \cdot P}{π \cdot {f lens}^{2} \cdot δ p \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 Focal Length given Diameter of Spot?

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

FAQs on Focal Length given Diameter of Spot

What is the formula to find Focal Length given Diameter of Spot?

The formula of Focal Length given Diameter of Spot is expressed as Focal Length of Lens = Spot Diameter/Beam Divergence. Here is an example- 3.003247 = 0.0037/0.001232.

How to calculate Focal Length given Diameter of Spot?

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

What are the other ways to Calculate Focal Length of Lens?

Here are the different ways to Calculate Focal Length of Lens-

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

Can the Focal Length given Diameter of Spot be negative?

No, the Focal Length given Diameter of Spot, measured in Length cannot be negative.

Which unit is used to measure Focal Length given Diameter of Spot?

Focal Length given Diameter of Spot is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Focal Length given Diameter of Spot can be measured.

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Focal Length given Diameter of Spot Formula

​GoFocal Length of Lens Formula

Focal Length given Diameter of Spot Example

Focal Length given Diameter of Spot Solution

Focal Length given Diameter of Spot Formula Elements

Other Formulas to find Focal Length of Lens

Other formulas in Power Density of Laser Beam category

How to Evaluate Focal Length given Diameter of Spot?

FAQs on Focal Length given Diameter of Spot

Variable Name

GoFocal Length of Lens Formula