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Starter track

Follow the authored sequence, or switch to recap mode for a faster review of the same path.

Full trackRecap mode
Starter track5 concepts3 checkpoints145 min

Wave Optics

Not started

Follow the bounded wave-optics branch from polarization into diffraction, double-slit interference, color-dependent refraction, and imaging limits so the newer optics pages read like one compact path instead of isolated stops.

Use this track when the newer wave-optics pages already in the catalog should feel like one coherent bench sequence. The path starts by making transverse-wave orientation visible with polarization, then keeps single-aperture spreading and two-path interference on linked screen patterns before widening into wavelength-dependent refraction and closing on the finite-aperture limit that caps what a real imaging system can resolve.

Wave orientationSingle-slit spreadTwo-slit fringesColor-dependent bendingResolution limit

Entry diagnostic

Decide where to enter this path without opening a second testing system.

Reuse the polarization quick test, the diffraction dark-band challenge, and the first-dark double-slit target to decide whether to start from wave orientation or jump straight into dispersion.

Review prerequisite first0 / 3 probes ready

Check the wave-pattern bench before you skip into color and imaging

Review prerequisite first

Waves is the authored prerequisite for Wave Optics. Simple Harmonic Motion opens this track and sets up the rest of the path. Nothing is hard-gated here; this is simply the clearest setup before the track opens.

Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.

Start Waves prerequisite trackBegin with Polarization
  1. Quick testNot started4 questions

    Polarization quick test

    Check whether transverse orientation, analyzer angle, and transmitted intensity already stay linked on the live optics bench.

    No saved quick-test result yet.

    Polarization
    Open Polarization quick test
  2. ChallengeNot started4 checks

    Single-slit checkpoint

    Use the existing diffraction challenge to verify that slit width, wavelength, and first-dark geometry already stay connected before two-path interference arrives.

    No saved checkpoint attempt yet.

    Diffraction
    Open Find the first dark band
  3. ChallengeNot started4 checks

    Two-slit checkpoint

    Use the double-slit dark-fringe target to confirm that path difference still maps cleanly onto bright and dark screen positions before you skip ahead.

    No saved checkpoint attempt yet.

    Double slit
    Open Find the first dark fringe

Why this order

The sequence is authored to keep the model honest.

Polarization comes first because diffraction and interference are harder to trust if light still feels like a generic ray instead of a transverse wave with orientation. Diffraction then keeps one aperture honest before Double-Slit Interference asks the same wave story to compare two coherent paths on one screen. Dispersion / Refractive Index and Color widens the branch from pattern formation to wavelength-dependent bending, and Optical Resolution / Imaging Limits closes the path by turning diffraction from a pattern-making idea into the finite-aperture limit on real images.

Shared concept pages

Each step opens the same simulation-first framework.

Compare mode, prediction mode, quick test, worked examples, guided overlays, challenge mode, and read-next cues stay on the concept pages. The track only decides the guided order and the next recommended stop.

Guided path

Follow the concepts and checkpoint moments in order.

Checkpoint cards reuse the authored challenge entries already living on the concept pages.

  1. 1Not startedMastery: NewStart here

    Polarization

    Use one compact polarizer bench to see polarization as the orientation story of transverse waves, how angle mismatch sets transmitted light, and why one ideal polarizer makes unpolarized light emerge with one chosen axis.

    Start here before moving into Diffraction.

    OpticsIntro25 min
    Start concept
  2. 2Not startedMastery: New

    Diffraction

    Watch a wave spread after one narrow opening, see why diffraction grows when wavelength competes with slit width, and build the wave-optics bridge toward double-slit interference.

    Builds on Polarization before setting up Double-Slit Interference.

    OpticsIntermediate30 min
    Open concept
  3. Checkpoint 1LockedNot started

    Single-slit checkpoint

    Lock in the first dark band after diffraction so the wave-optics branch keeps aperture width, wavelength, and screen spread tied together before the second slit is added.

    Finish Diffraction first. This checkpoint ties together Polarization and Diffraction through Find the first dark band.

    Pause here after Diffraction before moving into Double-Slit Interference.

    PolarizationDiffraction4 checksCoreGraph-linkedGuided start
    Return to DiffractionOpen concept
  4. 3Not startedMastery: New

    Double-Slit Interference

    Use two coherent slits and one screen to connect path difference, phase difference, and fringe spacing to wavelength, slit separation, and screen distance on one compact optics bench.

    Builds on Diffraction before setting up Dispersion / Refractive Index and Color.

    OpticsIntermediate30 min
    Open concept
  5. Checkpoint 2LockedNot started

    Interference checkpoint

    Hold the first dark fringe in place so two coherent paths still add and cancel for a clear reason before the track widens into color-dependent bending and imaging limits.

    Finish Double-Slit Interference first. This checkpoint ties together Diffraction and Double slit through Find the first dark fringe.

    Pause here after Double-Slit Interference before moving into Dispersion / Refractive Index and Color.

    DiffractionDouble slit4 checksCoreGraph-linkedGuided start
    Return to Double slitOpen concept
  6. 4Not startedMastery: New

    Dispersion / Refractive Index and Color

    Use one compact thin-prism bench to see how refractive index can depend on wavelength, why different colors bend by different amounts, and how a bounded prism model separates colors without widening into a full spectroscopy subsystem.

    Builds on Double-Slit Interference before setting up Optical Resolution / Imaging Limits.

    OpticsIntermediate30 min
    Open concept
  7. 5Not startedMastery: New

    Optical Resolution / Imaging Limits

    Image two nearby point sources through one finite aperture and see why diffraction, wavelength, and aperture diameter limit how sharply an optical system can separate them.

    Capstone step after Dispersion / Refractive Index and Color.

    OpticsIntermediate30 min
    Open concept
  8. Checkpoint 3LockedNot started

    Resolution-limit checkpoint

    Close the track by landing on the Rayleigh threshold so diffraction reappears as the finite-aperture limit on image separation instead of staying trapped inside a screen-pattern chapter.

    Finish Optical Resolution / Imaging Limits first. This checkpoint ties together Diffraction and Optical resolution through Hit the Rayleigh threshold.

    Final checkpoint that closes the authored track after Optical Resolution / Imaging Limits.

    DiffractionOptical resolution4 checksCoreGraph-linkedGuided start
    Return to Optical resolutionOpen concept