IPhO Waves & Optics

IPhO waves and optics hub: superposition tools, interference and diffraction estimates, and geometrical optics tricks.

  • International Physics Olympiad preparation
  • 6 lessons

Before you begin

In IPhO waves and optics, you win by choosing the right representation (phasors, complex exponentials or geometry) and keeping track of phase cleanly.

Be comfortable with: A-Level waves and superposition, O-Level waves and light and the IPhO problem-solving framework.

Learning goals
  • Apply waves & optics models and problem-solving methods in competition settings.

Lessons

Work through them in order.

Build the bridge

  1. Phasors & Superposition (IPhO)Add oscillations with phasors, resolve beats and track phase shifts reliably.

Build the official core

  1. Wave Equation & Boundary Conditions (IPhO Waves)Solve the one-dimensional wave equation with boundary conditions, and find reflection and transmission at interfaces.
  2. Standing Waves, Resonance & Q (IPhO Waves)Find normal modes, and relate resonance bandwidth and ring-down to the quality factor Q.
  3. Interference & Diffraction Estimates (IPhO)Estimate fringe spacings and diffraction angles quickly and decide which approximations dominate.

Transfer to unfamiliar problems

  1. Polarization & Jones Vectors (IPhO Optics)Represent polarisation with Jones vectors and predict intensity through polarisers and wave plates.

Optional: extend your toolkit

  1. Ray Optics: Paraxial Tricks & ABCD Matrices (IPhO Optics)Trace paraxial rays with ABCD matrices to find images and focal lengths of multi-element systems.

Practise and check

Topic reference

What you should be able to do

  • Choose a wave representation and track amplitude, phase and boundary conditions consistently.
  • Predict resonance, interference and diffraction scales before performing detailed algebra.
  • Use geometrical or polarisation models within their approximation regime and check intensity or energy behaviour.

Official scope: Stages selected official oscillation, wave and optics coverage; matrix optics is an optional calculation method rather than a syllabus requirement.

Training habits

  • Sketch the phases before writing equations.
  • For diffraction, start with what sets the scale, then refine.