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Lens Maker’s Equation

Physics 139 - Physics for Optometrists. Lens Maker’s Equation. In most actual cases of eye defects, lenses can not be simplified to thin lenses. One must regard both surfaces. Conventions: If incident rays hit a convex surface -> Positive If incident rays hit a concave surface -> Negative.

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Lens Maker’s Equation

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  1. Physics 139 - Physics for Optometrists Lens Maker’s Equation • In most actual cases of eye defects, lenses can not be simplified to thin lenses. • One must regard both surfaces. • Conventions: • If incident rays hit a convex surface -> Positive • If incident rays hit a concave surface -> Negative

  2. Physics 139 - Physics for Optometrists Lens Maker’s Equation +14 cm R1 R2 + 32 cm

  3. Physics 139 - Physics for Optometrists Lens Maker’s Equation • A plastic lens (n = 1.40) of power 0.356 diopter is required to be manufactured. If one the first surface has a radius of curvature of 50 cm, what should be the curvature of the second surface? R = -0.9m

  4. Physics 139 - Physics for Optometrists Compound Lenses • A image from one lens may be used as an object to a second lens. M = M1M2

  5. Example Two converging lenses of focal length 20 cm and 30 cm, respectively are placed 100 cm apart. An object is placed 40 cm in front of the first lens. Determine the : • Position of the final image • Overall magnification

  6. Physics 139 - Physics for Optometrists Magnifying Glass • What does a magnifying glass do? • How does a magnifying glass work?

  7. Physics 139 - Physics for Optometrists Compound Lenses • What does a microscope do? • How does a microscope work?

  8. Physics 139 - Physics for Optometrists Compound Lenses • What does a telescope do? • How does a telescope work?

  9. Physics 139 - Physics for Optometrists Compound Lenses • Two convex lenses are placed 60 cm apart. Lens 1 has a power of 2.5 D. The final image has a magnification of -10.75 and is 370 cm in front of Lens 1. • Calculate the distance of the object from lens 1 • Fully classify the images that are formed by each lens. do = 200 cm

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