Calculating Lens Power: Q&A for Diopters

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SUMMARY

The discussion centers on calculating lens power in diopters using the thin lens equation, specifically for the near point and far point of vision. The user correctly applies the formula 1/p + 1/q = 1/f to determine the focal length, resulting in a calculated lens power of -32.4 diopters for their near point. The power of accommodation, which decreases with age, is also referenced with specific values from a provided table. The user is advised to use a positive value for the image distance (q) in their calculations.

PREREQUISITES
  • Understanding of the thin lens equation (1/p + 1/q = 1/f)
  • Knowledge of diopters as a unit of lens power
  • Familiarity with the concept of accommodation in optics
  • Basic grasp of focal length and image distance
NEXT STEPS
  • Study the thin lens equation in detail and its applications in optics
  • Research the effects of aging on accommodation and lens power
  • Explore practical examples of calculating lens power for different distances
  • Learn about the significance of diopters in vision correction and eyewear design
USEFUL FOR

Optometry students, optical engineers, and anyone interested in the physics of vision and lens design will benefit from this discussion.

nophun6
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I have a question dealing with diopters.
Q: Assume that the distance from the lens of your eye to the retina is 1 inch (in effect, the image distance). Calculate the power of the lens in your eye (in diopters) for both your far point and near point. The difference between these two lens powers is called the “power of accommodation”, and it decreases with age, as
shown in the table below:
Age (years) 10 15 20 25 30 35 40 45 50 55 60 65
Accommodation (D) 14 12 10 8.5 7 5.5 4.5 3.5 2.5 1.7 1.0 0.5
Does your power of accommodation agree with the table?

Ok, so q= -2.54cm and p= my near point (which is 20 cm)
So I use the thin lens equation: 1/p + 1/q = 1/f and get f= -.029 m
Then to calculate lens power: 1/f = -32.4 Diopters

Did I do this correctly?
 
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I got 0.023m for the focal length at your near point.
Code:
-->1/(1/0.20+1/0.0254)
 ans  =

    0.0225377

You should use a positive value for q.
 

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