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Spherical Equivalent Calculator

SE = Sphere + Cyl/2

Calculate the spherical equivalent of a sphero-cylindrical prescription. Used for contact lens fitting, refractive surgery, and comparing prescriptions.

Prescription
Sphere
Cylinder
OD
OS

What is Spherical Equivalent?

Spherical Equivalent (SE) converts a sphero-cylindrical prescription into a single spherical power that represents the average refractive error. It's the power at the circle of least confusion (midpoint between the two focal lines).

SE = Sphere + (Cylinder / 2)

Works with both plus and minus cylinder formats

Common Uses:

  • Soft contact lens fitting - When cylinder is <0.75D, spherical CLs may work
  • Refractive surgery - Comparing pre/post-op refractive status
  • IOL calculations - Selecting intraocular lens power
  • Research - Comparing refractive error across studies
  • Quick estimates - Approximating vision without full correction

Important Note

Spherical equivalent is an approximation. Patients with significant astigmatism (cylinder >1.00D) will likely notice blur with SE-only correction. The full sphero-cylindrical prescription provides best visual acuity.

Example Calculations

Example 1: Minus Cylinder

-2.00 -1.50 x 180

SE = -2.00 + (-1.50 / 2) = -2.00 + (-0.75) = -2.75 D

Example 2: Plus Cylinder

-3.50 +2.00 x 090

SE = -3.50 + (+2.00 / 2) = -3.50 + (+1.00) = -2.50 D

Example 3: Sphere Only

+1.25 sphere

SE = +1.25 + (0 / 2) = +1.25 D (no change)