Tool Description

A beam expander enlarges the laser beam diameter by a magnification factor while reducing the divergence angle. This tool supports both Keplerian and Galilean configurations, calculating lens focal lengths, spacing, and output beam parameters.

Input Parameters

Results

Lens 2 Focal Length f₂
—
Lens Spacing d
—
Output Beam Diameter
—
Output Divergence
—
Rayleigh Range (Zr)
—
Total System Length
—

Optical Path Diagram

L1 (f₁) L2 (f₂) Input Beam Output Beam d Common Focus

Core Formulas

Magnification
M = f₂ / f₁
Lens Spacing (Keplerian)
d = f₁ + f₂
Lens Spacing (Galilean)
d = f₂ − |f₁|(f₁ < 0)
Output Divergence
θ_out = θ_in / M