Transposition Formula:
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Transposition is the process of converting a lens prescription from plus cylinder form to minus cylinder form, or vice versa. This calculator converts from plus to minus cylinder format.
The calculator uses the following formulas:
Where:
Explanation: The transposition changes the cylinder sign and adjusts the sphere power accordingly while maintaining the same optical effect.
Details: Understanding transposition is essential for optometrists, ophthalmologists, and optical technicians to ensure prescriptions are interpreted correctly regardless of format.
Tips: Enter the original prescription in plus cylinder format (sphere, cylinder, and axis). The calculator will provide the equivalent minus cylinder format.
Q1: Why are there two cylinder formats?
A: Historical reasons and different instrumentation may produce prescriptions in either format. Both describe the same optical correction.
Q2: Does the transposition affect the actual prescription?
A: No, the optical effect remains identical. It's just a different mathematical representation.
Q3: How do I know if my prescription is in plus or minus cylinder?
A: Look at the cylinder value - if it's positive, it's plus cylinder format; if negative, it's minus cylinder.
Q4: Why does the axis change by 90 degrees?
A: The axis represents the meridian perpendicular to the cylinder power. Changing the cylinder sign requires adjusting the axis by 90°.
Q5: Can I use this for contact lens prescriptions?
A: Yes, the same optical principles apply, though contact lens prescriptions typically use minus cylinder format.