Conversion Formula:
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The minus to plus cylinder conversion is a mathematical transformation of a lens prescription from minus cylinder form to plus cylinder form, or vice versa. This conversion maintains the same optical power but expresses it in a different format.
The calculator uses the following formulas:
Where:
Explanation: The conversion preserves the same refractive power but expresses it in the alternative cylinder format.
Details: Some optical instruments and practitioners prefer one format over the other. The conversion allows prescriptions to be interpreted correctly regardless of format.
Tips: Enter all values in minus cylinder format. The sphere and cylinder should be in diopters (D), and axis should be between 0-180 degrees.
Q1: Why convert between minus and plus cylinder formats?
A: Different practitioners and regions may use different formats. Conversion ensures accurate interpretation of prescriptions.
Q2: Does the conversion change the actual prescription?
A: No, it's just a different way to express the same optical correction.
Q3: How is the axis determined in the conversion?
A: The axis is transposed by 90 degrees (if original axis ≤90, add 90; if >90, subtract 90).
Q4: Are there any limitations to this conversion?
A: The conversion is mathematically exact, but rounding may occur when writing final prescriptions.
Q5: Which format is more commonly used?
A: Minus cylinder format is more common in the US, while plus cylinder may be used elsewhere or in certain instruments.