diffraction
Summary
Diffraction is the spreading of a wave as it passes through an opening or around an edge. It is most noticeable when the opening is comparable to or smaller than the wavelength, so longer wavelengths spread more.
Detail
Meaning: Diffraction is the bending and spreading of a wave as it passes through an opening or around an edge. Each point on a wavefront acts as a source of secondary wavelets, and these interfere. Spreading is large when the opening width a is comparable to or smaller than the wavelength λ, and slight when a is much larger.
Equation: a sinθ = mλ for single-slit dark fringes, where a is slit width (m), θ is angle from the central axis (rad), m is a nonzero integer (dimensionless), and λ is wavelength (m). For a double slit or grating, d sinθ = mλ gives bright fringes, where d is slit spacing (m) and m = 0, ±1, ±2.
On the MCAT: Passages show light through a slit, double slit or grating. You predict that a narrower slit or a longer wavelength widens the pattern, so red light spreads more than blue.
Common confusion: Do not confuse it with refraction, which is bending from a speed change at a boundary (n₁ sinθ₁ = n₂ sinθ₂). Diffraction is spreading at an opening or edge. Also note that single-slit a sinθ = mλ locates dark fringes, while double-slit d sinθ = mλ locates bright ones.
Sources
- Physics (Giancoli)
- Fundamentals of Physics (Halliday, Resnick, Walker)
- University Physics (Young and Freedman)
Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.