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.