When a wave hits the boundary between two different media, several things can happen:
Reflection: Part of the wave bounces back into the original medium.
Transmission (Refraction): Part of the wave enters the new medium and changes speed, which leads to bending of the wave (refraction).
Change in wavelength:
Frequency stays the same, but wavelength changes due to change in speed.
Partial absorption: Some energy may be lost (e.g. to heat).
These behaviors are explained using boundary conditions and principles like wavefront continuity and conservation of energy.
When waves pass through an aperture or around obstacles, they undergo diffraction — they spread out.
The degree of diffraction depends on the relationship between:
The wavelength λ
The aperture width a
Greatest diffraction occurs when: λ≈a
Represented using wavefront diagrams (Huygens’ Principle):
Wavefronts curve outward after passing through a narrow gap.
Narrower aperture → more spreading.
This is superposition — the total displacement is the sum of the individual displacements
If the waves are in phase, we get constructive interference: amplitudes add → louder sound, brighter light, etc.
If the waves are out of phase (180°), we get destructive interference: amplitudes cancel → silence or darkness.
This principle explains phenomena like:
Interference patterns (e.g. double-slit experiment)
Standing waves on strings or in pipes
that waves travelling in two and three dimensions can be described through the concepts of wavefronts and rays
wave behaviour at boundaries in terms of reflection, refraction and transmission
wave diffraction around a body and through an aperture
wavefront-ray diagrams showing refraction and diffraction
Snell's law, critical angle and total internal reflection
Snell's law where n is the refractive index and is the angle between the normal and the ray
superposition of waves and wave pulses
that double-source interference requires coherent sources
the condition for constructive interference
the condition for destructive interference
Young's double-slit interference where s is the separation of fringes, d is the separation of the slits, and D is the distance from the slits to the screen.
single-slit diffraction including intensity patterns where b is the slit width
that the single-slit pattern modulates the double slit interference pattern
interference patterns from multiple slits and diffraction gratings
Single Slit Diffraction (HL Only)
Multiple Slit Diffraction (HL Only)
Resolution - The Rayleigh Criterion (HL Only)
Fourier - Making Waves (HL Only)