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Sandbox Physics

Optics 092 · Waveguides, structured light, and modern optics

Light in Disorder

An independently initialized three-dimensional apparatus connects Multiple scattering, Coherent backscattering, Anderson localization. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelLight in Disorder
Primary prediction P1\mathcal P_10.500.50
Physical scale P2\mathcal P_250%50\%
Limit check V\mathcal V0.00π0.00\pi
Model regimevalid model regime\text{valid model regime}

Physics tutorial

How to investigate Light in Disorder

BackgroundLight in Disorder is one independently initialized apparatus with three linked investigations: Multiple scattering, Coherent backscattering, Anderson localization. Its two controls—Disorder strength and Sample thickness—feed the governing relation T(L)∝e−L/ξT(L)\propto e^{-L/\xi}. The page uses the stated modal, coupled-mode, effective-medium, or envelope approximation and marks its breakdown instead of presenting it as a full-wave result.

Why it mattersHow does increasing disorder move wave transport from scattering to diffusion and localization?

Start with the essentials

Focus question
How does increasing disorder move wave transport from scattering to diffusion and localization?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from T(L)∝e−L/ξT(L)\propto e^{-L/\xi}. Geometry and glow are presentation encodings; the equation, units, conservation or limit check, and validity indicator are the quantitative evidence.

Core mathematical model

Governing relation

T(L)∝e−L/ξT(L)\propto e^{-L/\xi}

The implementation evaluates this relation with dimensional inputs and an executable analytic or numerical benchmark. The page uses the stated modal, coupled-mode, effective-medium, or envelope approximation and marks its breakdown instead of presenting it as a full-wave result.

Common difficulties

Mistaking glow for measured power

Typical misconceptionA brighter cinematic trail must represent proportionally more optical power.

Better mental modelUse the detector and normalized readouts for comparison. Glow is deliberately nonlinear so weak structure stays visible.

Run the experiment

  1. 01

    Scene 1: Multiple scattering

    Select Multiple scattering. Sweep Disorder strength, hold Sample thickness fixed, and then reverse the roles. Drag the stage probe to repeat the first sweep directly.

    What to observe: Read the primary prediction, physical scale, limit check, and validity indicator together. Record where the approximation boundary changes.
  2. 02

    Scene 2: Coherent backscattering

    Select Coherent backscattering. Sweep Disorder strength, hold Sample thickness fixed, and then reverse the roles. Drag the stage probe to repeat the first sweep directly.

    What to observe: Read the primary prediction, physical scale, limit check, and validity indicator together. Record where the approximation boundary changes.
  3. 03

    Scene 3: Anderson localization

    Select Anderson localization. Sweep Disorder strength, hold Sample thickness fixed, and then reverse the roles. Drag the stage probe to repeat the first sweep directly.

    What to observe: Read the primary prediction, physical scale, limit check, and validity indicator together. Record where the approximation boundary changes.