Rayleigh Range Formula

Compute the Gaussian-beam Rayleigh range and confocal parameter from waist radius and wavelength.

Description

Compute the Gaussian-beam Rayleigh range and confocal parameter from waist radius and wavelength.

Rayleigh Range Formula: Compute the Gaussian-beam Rayleigh range and confocal parameter from waist radius and wavelength.

When to use Rayleigh Range Formula

Use this laser calculation or lookup for a first-pass optics, pulse, beam, gain-medium, diode, fiber, or safety comparison under explicitly stated wavelength and operating conditions.

Waist radius (µm)
Beam waist (1/e²) radius.
Wavelength (nm)
Laser wavelength.

How Rayleigh Range Formula works

Compute the Gaussian-beam Rayleigh range and confocal parameter from waist radius and wavelength. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Rayleigh range (mm)
Rayleigh range π·w0²/λ.
Confocal parameter (mm)
Confocal parameter 2·zR.

Limitations and assumptions

  • Laser behavior depends on wavelength, mode, coherence, pulse shape, beam quality, cavity and optical losses, material data, temperature, alignment, nonlinear effects, damage thresholds, and measurement definitions. Lookup values are not substitutes for current device data or laser-safety analysis.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Verify constants and limits with primary literature and manufacturer data, propagate tolerances, model the complete optical train, and apply the relevant laser safety standard.

References

  1. Gaussian beam — Wikipedia contributors

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