Wavefront Aberrations
Zernike polynomial decomposition of optical aberrations — pupil function and PSF visualization
Wavefront error W(ρ,θ)
Pupil function |P|
PSF (point spread fn)
Zernike Terms
Z₂₀ Defocus:
0.00λ
Z₁₁ Tilt X:
0.00λ
Z₁₋₁ Tilt Y:
0.00λ
Z₂₂ Astigmatism 0°:
0.00λ
Z₂₋₂ Astigmatism 45°:
0.00λ
Z₃₁ Coma X:
0.00λ
Z₃₋₁ Coma Y:
0.00λ
Z₄₀ Spherical:
0.00λ
Z₃₃ Trefoil:
0.00λ
Z₄₂ 2° Astig:
0.00λ
Reset All Coefficients
Wavefront Quality
—
RMS wavefront (λ)
—
Peak-to-valley (λ)
—
Strehl ratio
—
Maréchal critn
Zernike Polynomials
W(ρ,θ) = Σ aₙₘ Zₙₘ(ρ,θ)
Z₂₀ = 2ρ²−1 (defocus)
Z₂±₂ = ρ²cos/sin2θ (astig)
Z₃±₁ = (3ρ²−2)ρcos/sinθ (coma)
Z₄₀ = 6ρ⁴−6ρ²+1 (spher)
Maréchal: Strehl≈exp(−(2πW_rms)²)
Rayleigh λ/4 criterion: |W|≤λ/4