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Sandbox Physics

Optics 065 · Diffraction, Fourier optics, and computational imaging

Phase Microscopy Lab

An independently initialized three-dimensional apparatus connects Bright and dark field, Zernike phase contrast, Differential interference contrast. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelPhase Microscopy Lab
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 Phase Microscopy Lab

BackgroundPhase Microscopy Lab is one independently initialized apparatus with three linked investigations: Bright and dark field, Zernike phase contrast, Differential interference contrast. Its two controls—Object phase and Phase plate delay—feed the governing relation I≈I0(1+2ϕsin⁡δ)I\approx I_0\left(1+2\phi\sin\delta\right). Scalar, paraxial, or sampled-field assumptions are stated by the validity indicator; vector and nonparaxial effects are outside that boundary.

Why it mattersHow can pupil manipulation turn an invisible phase object into visible intensity contrast?

Start with the essentials

Focus question
How can pupil manipulation turn an invisible phase object into visible intensity contrast?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from I≈I0(1+2ϕsin⁡δ)I\approx I_0\left(1+2\phi\sin\delta\right). 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

I≈I0(1+2ϕsin⁡δ)I\approx I_0\left(1+2\phi\sin\delta\right)

The implementation evaluates this relation with dimensional inputs and an executable analytic or numerical benchmark. Scalar, paraxial, or sampled-field assumptions are stated by the validity indicator; vector and nonparaxial effects are outside that boundary.

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: Bright and dark field

    Select Bright and dark field. Sweep Object phase, hold Phase plate delay 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: Zernike phase contrast

    Select Zernike phase contrast. Sweep Object phase, hold Phase plate delay 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: Differential interference contrast

    Select Differential interference contrast. Sweep Object phase, hold Phase plate delay 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.