Conversion Formula:
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The plus to minus cylinder conversion is a mathematical transformation of optical prescriptions between plus cylinder and minus cylinder notation forms. Both forms are mathematically equivalent but represent the same lens differently.
The calculator uses the following formulas:
Where:
Explanation: The conversion maintains the same optical power but represents it in the alternative notation format.
Details: Understanding both forms is essential for optometrists and ophthalmologists as different instruments may use different notations. It's also important when transcribing prescriptions.
Tips: Enter all values in plus cylinder format. Sphere and cylinder powers should be in diopters (D) with 0.25D increments. Axis must be between 0-180 degrees.
Q1: Why are there two cylinder notation forms?
A: Historically, different manufacturers used different formats. Plus cylinder is common in phoropters, while minus cylinder is standard in eyeglass prescriptions.
Q2: Does the conversion affect the actual prescription?
A: No, both forms are mathematically equivalent and produce identical optical correction.
Q3: How do I handle axis conversion when adding 90 exceeds 180?
A: The calculator automatically wraps around (e.g., 120° becomes 30°).
Q4: Can I convert minus cylinder to plus cylinder?
A: Yes, the same formulas work in reverse by inputting the minus values as plus.
Q5: Why is this conversion important clinically?
A: It ensures accurate communication between eye care professionals and prevents prescription errors.