Magnification through a lens at various diameters

  • Thread starter Thread starter Ken Van Cleave
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    Lens Magnification
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Magnification through a lens varies significantly with target size, even when lens power remains constant. The observed ratio between the original target diameter and the viewed diameter changes notably for larger targets, complicating accurate calculations of focal length and lens power. This discrepancy is attributed to radial distortion, which affects how different target sizes are perceived through the lens. Understanding the impact of target size on magnification is crucial for precise optical measurements. Further exploration of formulas to compensate for these variations may enhance predictive accuracy for lens power.
Ken Van Cleave
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We have a high power plus lens of known front curve, index, and center thickness and have placed a known diameter circular target at a known distance behind the lens. Observing the circular target through the lens we compute the ratio between the diameter of the original circular target behind the lens and the measured target diameter as viewed through the lens on the other side.

Using a very small target, the focal length and power of the lens can be calculated fairly accurately using this magnification ratio along with the distance from the back of the lens to the target. The problem is that the ratio changes significantly when a larger target size is used even though the lens power is the same.

Why does this happen? Are there any formula(s) that can compensate for this so the power can still be predicted as accurately as when a very small target size is used?
 
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