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Waveplate Retardation Calculator

Design waveplate thickness for a target retardation, or calculate retardation at any wavelength for a given thickness.

A waveplate introduces a controlled phase retardation between the ordinary and extraordinary polarization axes of a birefringent crystal. Retardation Γ = 2π(Δn·t)/λ depends on the birefringence Δn, plate thickness t, and wavelength λ. Half-wave plates (Γ = π) rotate linear polarization; quarter-wave plates (Γ = π/2) convert between linear and circular polarization. This calculator works in two modes: design mode (compute required thickness for a target retardation at a given wavelength) and analysis mode (compute retardation and polarization transformation for a given plate thickness across a wavelength range). Useful when selecting waveplates, designing polarization controllers, or checking retardation at an off-design wavelength.

Input
Design Results
Birefringence Δn at 632.8 nm
0.01334
Total retardation
0.25000waves
Required thickness
11.863µm
Required thickness
0.01186mm

Impractically thin for free-standing crystal — use thin-film or cemented design

Abridged Optics — Waveplate Retardation Calculator v1.0Birefringence uses Cauchy-type dispersion models. Verify critical designs against measured data.

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.