AP® Physics 2: Algebra-Based · Unit 13 · Topic 13.1
Light as a Ray
The ray model treats light as straight arrows traveling outward from a source, which works because light's wavelength is tiny compared to everyday objects and openings it passes through.
Light is really a spreading electromagnetic wave, but its wavelength is about half a micron, far smaller than mirrors, lenses, and openings we deal with day to day. When the things light interacts with are huge compared to that wavelength, the wave behavior washes out and light acts like it travels in straight lines. That's the ray model: a bookkeeping trick that lets you trace light's path with a ruler instead of solving wave equations.
A point source actually radiates rays in every direction at once, infinitely many of them. We only draw a handful, usually straight lines from the source through key points like the edges of an object or the corners of a mirror, because those are the rays that decide where edges, images, and shadows land. Everything in between fills in smoothly. This is exactly why a shadow from a point source has a crisp edge: rays either graze past the object's edge and keep going, or get blocked entirely. There's no middle ground, so the boundary between lit and dark is sharp, a true edge with no fuzzy region.
This straight-line picture is the foundation for everything else in geometric optics: reflection off mirrors and refraction into lenses are both just rules for how rays change direction at a surface. But the model has a breaking point. Once light passes through a gap near its own wavelength, or once a source is wide rather than a single point, the simple sharp-ray picture needs upgrading, setting up diffraction and extended sources as the next layer of the story.
Key terms
- Ray
- An idealized straight line showing the direction light travels, used to trace paths through optical systems.
- Diffraction
- The bending and spreading of waves around edges or through small openings, significant when the opening is near the wavelength's size.
- Umbra
- The fully dark central region of a shadow where all of an extended light source is blocked.
- Penumbra
- The partially lit, fuzzy-edged region of a shadow where only part of an extended source is blocked.
Watch it explained
- How it worksHow does a point source send rays out in every direction while we only draw a few of them?
- How it worksDraw the ray picture that explains why a shadow has a sharp core and a fuzzy edge.
- Common mistakeWhy isn't the ray model good enough once the opening light passes through gets very small?
- Going furtherWhat changes about the shadow when the light source grows from a point into a wide panel?
Check yourself
End of topic.