Laser Tools - Casey D. Foley, PhD

Professional calculators for laser beam characterization and machine vision system design, developed from extensive experience in laser physics, optical system design, and industrial imaging applications. These tools implement standard Gaussian beam optics formulas and machine vision calculations used in research and manufacturing environments.

Focused Beam Waist Diameter Calculator

Calculate the focused spot size for Gaussian laser beams

φSpot = φDiffraction + φAberration = (4λM²f)/(πDf) + (nDf³)/(f²)
where Df = input beam diameter, n = refractive index

Wavelength

Lens Focal Length

Beam Quality (M²)

Input Beam Diameter (Df)

Lens Refractive Index (n)

Rayleigh Range & Beam Propagation Calculator

Calculate beam diameter at various distances from focus

zᵣ = π × w₀² / λ
w(z) = w₀ × √(1 + (z/zᵣ)²)

Note: This tool automatically uses the wavelength and beam waist radius calculated from the Focused Beam Waist Diameter Calculator above.

Peak Power Density Calculator

Calculate peak power density for pulsed laser systems

Peak Power = Average Power / (Rep Rate × Pulse Width)
Power Density = Peak Power / Beam Area

Average Power

Repetition Rate

kHz

Pulse Width

Beam Diameter

μm

Machine Vision System Calculator

Calculate optical parameters for machine vision and inspection systems

Magnification = f / (WD - f)
FOV = Sensor Size / Magnification
DOF = 2 × f# × CoC × (1 + M)²

Lens Focal Length

Working Distance

Object Width

Object Height

Lens f-number

f/#

Sensor Format

Sensor Width

Sensor Height

Horizontal Pixel Count

Vertical Pixel Count

⚠️ Important Disclaimer

These calculators are provided for educational and professional reference purposes. Always verify critical calculations independently and consult appropriate safety protocols when working with laser systems. The author assumes no responsibility for the use of these tools in actual laser system design or operation.