Calculators
Oblique Cross Cylinder
Combine two sphero-cylinders (power vectors)
Lens 1
Lens 2
Enter values to calculate
Reference
Each lens is converted to power vectors M = S + C/2, J₀ = −(C/2)cos 2α, J₄₅ = −(C/2)sin 2α, summed, and converted back (Thibos).
Useful for over-refraction over a toric lens, residual astigmatism and combining cylinders at oblique axes.