The Healthy Eye: Continuous Accommodation
1 · Predict
A normal eye can focus on objects anywhere from its near point out to infinity by changing its internal lens's focal length (accommodation). Does the eye need a shorter or longer focal length to focus on a closer object?
- Shorter — a closer object needs the eye's lens to bend light more strongly to still focus on the same retina distance.
- Longer focal length for closer objects.
- Focal length doesn't need to change for different object distances.
2 · Set Up
- Open the normal-eye preset and press Reset. The retina sits a fixed 2.2 cm behind the eye's lens.
- Enable the required-focal-length readout.
- Set the object distance for each trial and record the focal length the eye must adopt to keep the image on the retina.
3 · Collect Data
| Object distance d_o (cm) | Required focal length f (cm) |
|---|---|
| 30.00 | |
| 60.00 | |
| 120.00 |
Plot required focal length f (y-axis) against object distance d_o (x-axis) for your three trials. Does f approach the retina distance (2.2 cm) as d_o grows large?
4 · Analyze
- For one trial, compute f = d_o·R/(d_o + R) using R = 2.2 cm (the retina distance). Compare to the table.
- Explain why f always stays just under R = 2.2 cm, approaching it as d_o grows very large (relaxed eye, focusing at infinity) and dropping further below it for closer objects (more accommodation effort).
5 · Extend
- A normal eye's near point (about 25 cm) sets the shortest focal length the eye's muscles can achieve; its far point (infinity) sets the longest (fully relaxed). Explain why aging typically raises the near point (presbyopia) even in an otherwise healthy eye — the lens loses flexibility, not focusing power at infinity.
- A camera autofocus system does mechanically what your eye does biologically: adjusts its lens's effective focal length (usually by moving the lens, rather than changing its shape) to keep the image sharp on the sensor at different object distances. Why might a camera lens move physically while your eye's lens instead changes shape?
Optics
- Converging Lens: Real Images Beyond 2f
- The Focal Point: Where Images Escape to Infinity
- A Lens as a Magnifying Glass
- A Diverging Lens: Always Virtual, Always Reduced
- A Concave Mirror: Real Images Like a Converging Lens
- A Convex Mirror: Always a Reduced Virtual Image
- The Plane Mirror: A Special, Invariant Case
- Apparent Depth: Why a Pool Looks Shallower Than It Is
- Total Internal Reflection: The Critical Angle
- A Two-Lens Relay: Chaining Images Together
- The Compound Microscope: Two Lenses for High Magnification
- A Photographic Enlarger: Two Lenses for a Real, Bigger Image