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Sandbox Physics

Optics 038 · Imaging, instruments, and visual systems

VR Headset Optics

An independently initialized three-dimensional apparatus connects Fresnel headset, Pancake folded optics, Eye-box and pupil swim. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelVR Headset Optics
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 VR Headset Optics

BackgroundVR Headset Optics is one independently initialized apparatus with three linked investigations: Fresnel headset, Pancake folded optics, Eye-box and pupil swim. Its two controls—Display distance and Eye offset—feed the governing relation θFOV≈2arctan⁡ ⁣(h2deye)\theta_{\mathrm{FOV}}\approx2\arctan\!\left(\frac{h}{2d_{\mathrm{eye}}}\right). The validity indicator marks the paraxial, lossless, weak-field, or steady-state assumption used by this apparatus.

Why it mattersHow do display distance, eye box, and lens design trade field of view against comfort and distortion?

Start with the essentials

Focus question
How do display distance, eye box, and lens design trade field of view against comfort and distortion?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from θFOV≈2arctan⁡ ⁣(h2deye)\theta_{\mathrm{FOV}}\approx2\arctan\!\left(\frac{h}{2d_{\mathrm{eye}}}\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

θFOV≈2arctan⁡ ⁣(h2deye)\theta_{\mathrm{FOV}}\approx2\arctan\!\left(\frac{h}{2d_{\mathrm{eye}}}\right)

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: Fresnel headset

    Select Fresnel headset. Sweep Display distance, hold Eye offset 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: Pancake folded optics

    Select Pancake folded optics. Sweep Display distance, hold Eye offset 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: Eye-box and pupil swim

    Select Eye-box and pupil swim. Sweep Display distance, hold Eye offset 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.