Skip to main content
Sandbox Physics

Optics 054 · Interference, coherence, cavities, and metrology

Holography Studio

An independently initialized three-dimensional apparatus connects Inline recording, Off-axis carrier, Virtual and real reconstruction. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelHolography Studio
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 Holography Studio

BackgroundHolography Studio is one independently initialized apparatus with three linked investigations: Inline recording, Off-axis carrier, Virtual and real reconstruction. Its two controls—Reference angle and Object depth—feed the governing relation IH=∣Eo+Er∣2I_{\mathrm H}=|E_{\mathrm o}+E_{\mathrm r}|^2. The validity indicator marks the paraxial, lossless, weak-field, or steady-state assumption used by this apparatus.

Why it mattersHow can an intensity-only plate preserve enough phase information to reconstruct a three-dimensional wavefront?

Start with the essentials

Focus question
How can an intensity-only plate preserve enough phase information to reconstruct a three-dimensional wavefront?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from IH=∣Eo+Er∣2I_{\mathrm H}=|E_{\mathrm o}+E_{\mathrm r}|^2. 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

IH=∣Eo+Er∣2I_{\mathrm H}=|E_{\mathrm o}+E_{\mathrm r}|^2

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: Inline recording

    Select Inline recording. Sweep Reference angle, hold Object depth 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: Off-axis carrier

    Select Off-axis carrier. Sweep Reference angle, hold Object depth 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: Virtual and real reconstruction

    Select Virtual and real reconstruction. Sweep Reference angle, hold Object depth 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.