Laser Spot Size Calculator

Calculate the focused spot size (beam waist) of a laser beam based on wavelength, beam diameter, and focal length using Gaussian beam optics.

FOCUSED SPOT DIAMETER
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Spot Radius (w0)
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Rayleigh Range
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Divergence
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Depth of Focus
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What Is Laser Spot Size?

The laser spot size is the diameter of the focused beam at the focal point of a lens. For a Gaussian beam (TEM00 mode), the minimum achievable spot size is determined by diffraction and depends on the wavelength, the beam diameter entering the lens, and the focal length. The beam quality factor M² accounts for how much larger the spot is compared to a perfect Gaussian beam.

Achieving the smallest possible spot size is critical in applications such as laser cutting, optical data storage, laser scanning microscopy, and photolithography. Understanding the Rayleigh range and depth of focus is equally important for practical alignment and process control.

Gaussian Beam Focusing Formula

w0 = (2 λ f M²) / (π D)
zR = π w0² / (λ M²)

Where w0 is the beam waist radius, λ is wavelength, f is focal length, D is the input beam diameter, M² is beam quality, and zR is the Rayleigh range (distance over which the beam area doubles).

Factors Affecting Spot Size

ParameterEffectTypical Values
WavelengthShorter = smaller spot193 nm - 10.6 μm
Beam DiameterLarger = smaller spot0.5 - 50 mm
Focal LengthShorter = smaller spot5 - 500 mm
M² FactorCloser to 1 = smaller1 - 20

Applications

  • Laser cutting: Small spots concentrate energy for clean cuts in metals and polymers.
  • Microscopy: Confocal and two-photon microscopy require tight focusing for resolution.
  • Optical storage: Blu-ray uses 405 nm laser focused to ~580 nm spot for high data density.
  • LIDAR: Controlled spot sizes enable precise ranging and mapping.

Frequently Asked Questions

What is M² beam quality factor?

M² (M-squared) measures how close a real laser beam is to an ideal Gaussian (TEM00) beam. A perfect Gaussian beam has M² = 1. Multimode lasers have higher M² values (2-20+), meaning their focused spots are M² times larger than the diffraction limit.

Can I focus a laser to an infinitely small spot?

No. Diffraction fundamentally limits the minimum spot size. Even a perfect Gaussian beam with a large diameter and short focal length lens is limited by the wavelength of light. The smallest achievable spot radius is roughly λ/(π NA) where NA is the numerical aperture.

What is the Rayleigh range?

The Rayleigh range is the distance from the beam waist where the beam cross-sectional area doubles (beam radius increases by a factor of sqrt(2)). Within the Rayleigh range on either side, the beam is considered approximately collimated, making it a practical measure of the depth of focus.