Definition: Reflection occurs when a wave hits a boundary and changes direction to stay in the incident medium.
The Law of Reflection: This fundamental principle governs all reflected waves (light, sound, water). It states:
Formula:
Where is the angle of incidence and is the angle of reflection.
Surface Texture Effects:
Specular Reflection: Occurs on smooth, flat surfaces (e.g., mirrors). Parallel incident rays are reflected parallel to each other, creating a clear image.
Diffuse Reflection: Occurs on rough surfaces. Incident rays are scattered in many different directions because the local normal varies across the surface. This is why you cannot see your reflection in a piece of paper, despite it being white.
Perception of Color: The color of an opaque object is determined by which wavelengths of light are reflected and which are absorbed.
Selective Reflection: An object appears a specific color (e.g., red) because it reflects that wavelength of light while absorbing all other visible wavelengths.
White Objects: Reflect all visible wavelengths equally.
Black Objects: Absorb all visible wavelengths; no light is reflected to the eye.
The Normal Line: A construction line drawn perpendicular () to the surface at the point where the wave hits. It is usually drawn as a dashed line.
Measurement Rule: All angles in wave optics are measured relative to the normal, never relative to the surface.
Angle of Incidence (): The angle between the incoming ray and the normal.
Angle of Reflection (): The angle between the outgoing ray and the normal.
Drawing Conventions: Rays are drawn as straight lines with arrows indicating the direction of travel. Incident rays point towards the boundary; reflected rays point away.
| Concept | Definition | Key Characteristic |
|---|---|---|
| Reflection | Wave bounces back | ; stays in same medium |
| Transmission | Wave passes through | Enters new medium; speed often changes |
| Absorption | Energy transfers to matter | Wave disappears; medium gains thermal energy |
| Specular | Smooth surface reflection | Clear image; parallel rays stay parallel |
| Diffuse | Rough surface reflection | No image; rays scatter in all directions |
The "Normal" Trap: The most common error is measuring the angle between the ray and the surface. Always draw the normal first and measure from there. If given the angle to the surface (e.g., ), calculate the angle of incidence as .
Arrow Direction: Marks are often lost for missing arrows on rays. Always check that your incident ray points in and reflected ray points out.
Conservation: Remember that Incident Energy = Reflected + Transmitted + Absorbed. If a question asks why a transmitted wave is quieter or dimmer, the answer is usually that some energy was reflected or absorbed.