Transposition Formula:
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Lens transposition is the process of converting a lens prescription from minus cylinder form to plus cylinder form, or vice versa, without changing the optical properties of the lens.
The transposition follows these simple rules:
Where:
Explanation: Changing the sign of the cylinder power and adjusting the axis by 90 degrees creates an equivalent prescription in the opposite cylinder form.
Details: Transposition is essential for opticians and ophthalmologists to communicate prescriptions consistently and ensure accurate lens manufacturing. Some lens designs are traditionally written in one form or the other.
Tips: Enter the cylinder power in diopters and axis in degrees (0-180). The calculator will automatically compute the transposed values.
Q1: Why transpose lens prescriptions?
A: Different manufacturers and practitioners may use different notation formats. Transposition ensures consistency and accuracy in lens production.
Q2: Does transposition change the optical power?
A: No, transposition creates an mathematically equivalent prescription that produces the same visual correction.
Q3: What about the sphere power?
A: The sphere power remains unchanged during transposition. Only the cylinder sign and axis are modified.
Q4: Are there any limitations to this method?
A: This method works for all standard sphero-cylindrical prescriptions but may need adjustment for special lens designs.
Q5: How do I handle axis values above 180?
A: The calculator automatically normalizes axis values to the 0-180 range by taking the modulo 180 of the result.