Convex vs Concave Lenses — Converging and Diverging Light

Convex (Converging) Lens

Thicker in the middle than at the edges. Parallel rays entering a convex lens converge to a real focal point on the far side — it can project a real image, like a camera or projector does.

1f=1do+1di, f>0\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i},\ f > 0

Unit: meter (m)

Example: A magnifying glass is a convex lens: hold it at the right distance and sunlight converges to a bright, hot spot.

Concave (Diverging) Lens

Thinner in the middle than at the edges. Parallel rays spread apart as if coming from a virtual focal point on the near side — it only ever makes virtual, upright, diminished images.

1f=1do+1di, f<0\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i},\ f < 0

Unit: meter (m)

Example: Concave lenses correct nearsightedness: they spread incoming light slightly so the eye's own lens can focus it properly on the retina.

Key differences

AspectConvex (Converging) LensConcave (Diverging) Lens
ShapeThicker at centerThinner at center
Parallel raysConverge to a real focusDiverge as if from a virtual focus
Focal length signPositiveNegative
Real images?Yes — can project onto a screenNo — only virtual images
Typical useCameras, magnifiers, projectorsNearsightedness glasses, peepholes
Why students confuse them

A convex lens doesn't always magnify — place the object beyond 2F and the real image is smaller than the object (that's how a camera fits a landscape onto a tiny sensor). Image size depends on object distance, not just lens type.