Calculating Power of Tear Layer in Contact Lens Prescription

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Homework Help Overview

The problem involves calculating the power of the tear layer in a contact lens prescription for a mildly farsighted individual. The prescription is given as 1.25 D, with a near point of 29.0 cm, while a normal near point is 25.0 cm.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the combination of lens powers and how to approach the calculation of the tear layer's power. Questions arise regarding the sign conventions for the lenses involved and the basic principles of lens power calculations.

Discussion Status

There is an ongoing exploration of the problem setup, with participants seeking clarification on how to combine the powers of the lenses and the implications of the near point on lens power. Some foundational questions are being revisited to aid understanding.

Contextual Notes

Participants note the assumption of an ideal correction and the relevance of the near point in determining the necessary lens power. There is also mention of the irrelevance of lens shape in the calculations.

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Homework Statement


The contact lens prescribed for a mildly farsighted person is 1.25 D, and the person has a near point of 29.0 cm. What is the power in D of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account? Assume that a normal human has a near point of 25.0 cm.

Homework Equations


P = 1/do + 1/di = 1/f
 
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The tear+contact must make a compound lens with the power needed to correct eyesight with the stated near-point.
How do the powers of lenses combine?
 
Simon Bridge said:
The tear+contact must make a compound lens with the power needed to correct eyesight with the stated near-point.
How do the powers of lenses combine?
The two lenses would bee a double convex (in the eye) and the contact would be a convex, right?
But I'm confused about how to set up the problem.
One would be negative and one would be positive, right?
 
Go back to basics:
When you are given the nearpoint, and you want to know what power of lense will correct that eyesight - how do you work that out?
When you have two lenses one after the other with P1 and P1 ... how do you find the overall power P of the combined lens?

If you do not answer questions I cannot help you.
Note: the shape of the lens is irrelevant.
 

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