Nonlinear Optics Calculator

Calculate phase-matching angles and SHG conversion efficiency for nonlinear optical crystals.

Parameters
SHG: λ₂ = λ₁ = 1064.0 nm
λ₃ = λ₁/2 = 532.00 nm
Phase-Matching Results
Phase-matching angle \u03B8
22.80\u00B0
Walk-off angle \u03C1
55.60mrad
Effective nonlinearity d_eff
2.000pm/V
SHG wavelength \u03BB\u2083
532.0nm
n_o(\u03C9)
Ordinary index at fundamental
1.6544
n_o(2\u03C9)
Ordinary index at harmonic
1.6741
n_e(2\u03C9)
Extraordinary index at harmonic
1.5547
Abridged Optics — Nonlinear Optics Calculator v1.0Phase matching uses Sellmeier equations for uniaxial crystals. Biaxial crystals show principal refractive indices only. SHG efficiency uses the undepleted-pump approximation.

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.