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Sandbox Physics

Optics 082 · Polarization, anisotropy, and modulation

Electro-Optic Modulator

An independently initialized three-dimensional apparatus connects Pockels phase cell, Biased intensity modulator, Bandwidth and half-wave voltage. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelElectro-Optic Modulator
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 Electro-Optic Modulator

BackgroundElectro-Optic Modulator is one independently initialized apparatus with three linked investigations: Pockels phase cell, Biased intensity modulator, Bandwidth and half-wave voltage. Its two controls—Drive voltage and Modulation frequency—feed the governing relation δ=πVVπ\delta=\pi\frac{V}{V_\pi}. The validity indicator marks the paraxial, lossless, weak-field, or steady-state assumption used by this apparatus.

Why it mattersHow does an electric field become controllable optical phase and then measurable intensity modulation?

Start with the essentials

Focus question
How does an electric field become controllable optical phase and then measurable intensity modulation?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from δ=πVVπ\delta=\pi\frac{V}{V_\pi}. 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

δ=πVVπ\delta=\pi\frac{V}{V_\pi}

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: Pockels phase cell

    Select Pockels phase cell. Sweep Drive voltage, hold Modulation frequency 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: Biased intensity modulator

    Select Biased intensity modulator. Sweep Drive voltage, hold Modulation frequency 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: Bandwidth and half-wave voltage

    Select Bandwidth and half-wave voltage. Sweep Drive voltage, hold Modulation frequency 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.