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Sandbox Physics

Optics 080 · Polarization, anisotropy, and modulation

TIR Phase & Fresnel Rhomb

An independently initialized three-dimensional apparatus connects Single TIR phase shift, Double-reflection rhomb, Crystal-waveplate comparison. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelTIR Phase & Fresnel Rhomb
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 TIR Phase & Fresnel Rhomb

BackgroundTIR Phase & Fresnel Rhomb is one independently initialized apparatus with three linked investigations: Single TIR phase shift, Double-reflection rhomb, Crystal-waveplate comparison. Its two controls—Internal angle and Reflection count—feed the governing relation δTIR=ϕp−ϕs\delta_{\mathrm{TIR}}=\phi_p-\phi_s. The validity indicator marks the paraxial, lossless, weak-field, or steady-state assumption used by this apparatus.

Why it mattersHow can total reflection create broadband retardance even though no power is transmitted?

Start with the essentials

Focus question
How can total reflection create broadband retardance even though no power is transmitted?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from δTIR=ϕp−ϕs\delta_{\mathrm{TIR}}=\phi_p-\phi_s. 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

δTIR=ϕp−ϕs\delta_{\mathrm{TIR}}=\phi_p-\phi_s

The implementation evaluates this relation with dimensional inputs and an executable analytic or numerical benchmark. The validity indicator marks the paraxial, lossless, weak-field, or steady-state assumption used by this apparatus.

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: Single TIR phase shift

    Select Single TIR phase shift. Sweep Internal angle, hold Reflection count 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: Double-reflection rhomb

    Select Double-reflection rhomb. Sweep Internal angle, hold Reflection count 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: Crystal-waveplate comparison

    Select Crystal-waveplate comparison. Sweep Internal angle, hold Reflection count 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.