Cylinder Conversion Formula:
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Cylinder conversion is the process of changing the sign of the cylinder power in an eyeglass prescription while maintaining the same optical effect. This is often needed when switching between plus and minus cylinder formats.
The calculator uses the following formulas:
Where:
Explanation: The conversion maintains the same refractive error but expresses it differently by redistributing the power between sphere and cylinder components.
Details: Accurate cylinder conversion is crucial when comparing prescriptions, switching between lens manufacturing systems, or verifying prescription consistency.
Tips: Enter the original sphere, cylinder, and axis values. The calculator will automatically compute the converted values. All values must be valid (axis between 0-180 degrees).
Q1: Why convert cylinder values?
A: Different optical systems use different cylinder formats. Conversion ensures the same optical correction is maintained.
Q2: Does the conversion change the prescription's effect?
A: No, the optical effect remains identical - only the mathematical expression changes.
Q3: How does axis change during conversion?
A: The axis is rotated by 90 degrees (modulo 180) when the cylinder sign is flipped.
Q4: Are there limitations to this conversion?
A: The conversion is mathematically exact for all valid prescriptions. However, very high cylinder powers might have practical limitations in lens manufacturing.
Q5: Is this conversion used in contact lens prescriptions?
A: The same mathematical principles apply, but contact lens prescriptions often have additional parameters that need consideration.