Calculating Diopters for Bifocals: What Power Should They Have?

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SUMMARY

The discussion focuses on calculating the appropriate diopter power for bifocal lenses based on a person's vision requirements. For distant vision, the upper portion of the bifocals should have a power of approximately 66.6 diopters, calculated using the formula P = 1/f, where f is the focal length in meters. The lower portion, designed for comfortable viewing at 25 cm, requires a power of 400 diopters. The calculations highlight the importance of understanding focal lengths and their conversion to diopters.

PREREQUISITES
  • Understanding of the lens formula P = 1/f
  • Knowledge of focal lengths in meters
  • Basic concepts of optics and vision correction
  • Familiarity with diopter units
NEXT STEPS
  • Research the implications of different diopter values on lens design
  • Learn about the anatomy of the eye and how it affects vision
  • Explore advanced optics concepts such as astigmatism and presbyopia
  • Investigate the manufacturing process of bifocal lenses
USEFUL FOR

Optometrists, optical technicians, and anyone involved in the design or fitting of corrective lenses, particularly bifocals.

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Homework Statement



This is a 2 part problem:

4- A person is to be fitted with bifocals. She can see clearly when the object is between 49 cm and 1.5 m from the eye. The upper portions of the bifocals should be designed to enable her to see distant objects clearly. What power should they have? Answer in units of diopters.

5- The lower portions of the bifocals should en- able her to see objects comfortably at 25 cm. What power should they have? Answer in units of diopters.

Homework Equations



P=\frac{1}{f}

The Attempt at a Solution



4- P = \frac{1}{0.49 m} = 2.04 x 100 = 204 D
or it might be P = \frac{1}{1.5 m} = 0.666 x 100 = 66.6 D

5- P = \frac{1}{0.25 m} = 4 x 100 = 400 D

I know I am doing something wrong can you help me?! TIA
 
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