Optical System Tools

Professional laser optics and machine vision calculators

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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 focused spot size for Gaussian laser beams

dF = (4 × λ × f' × M² × APO) / (π × dL)
T = dL / dEP (Truncation Ratio)
nm
mm
mm
mm
-
APO Values: T ≤ 0.5 → APO = 1.27 | T = 1.0 → APO = 1.83 | Intermediate values are linearly interpolated

Rayleigh Range & Beam Propagation Calculator

Calculate beam diameter at various distances from focus

zR = π × w₀² / λ
w(z) = w₀ × √(1 + (z/zR)²)
Auto-linked: This calculator automatically uses the wavelength and beam waist radius from the Focused Beam Waist Calculator above. Calculate beam waist first!
mm

Peak Power Density Calculator

Calculate peak power density for pulsed laser systems

Ppeak = Pavg / (frep × τ)
I = Ppeak / Abeam
Fluence = I × τ
W
kHz
ns
μm

Machine Vision System Calculator

Calculate optical parameters for machine vision and inspection systems

M = f / (WD - f)
FOV = Sensor / M
DOF = 2 × f# × CoC × (1 + |M|)²
mm
mm
mm
mm
f/#
-
mm
mm
px
px

⚠️ 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.