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Sandbox Physics

Optics 095 · Waveguides, structured light, and modern optics

Photonic Nanojet & Hook

An independently initialized three-dimensional apparatus connects Microsphere nanojet, Cylinder focus, Asymmetric Janus hook. Two dimensional physical controls, direct probe dragging, a detector trace, and three quantitative checks are recalculated from the stated equation.

Interactive modelPhotonic Nanojet & Hook
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 Photonic Nanojet & Hook

BackgroundPhotonic Nanojet & Hook is one independently initialized apparatus with three linked investigations: Microsphere nanojet, Cylinder focus, Asymmetric Janus hook. Its two controls—Particle index and Shape asymmetry—feed the governing relation FWHM<λ2\mathrm{FWHM}<\frac{\lambda}{2}. The displayed result is an analytic trend model; quantitative near-field prediction requires a Maxwell full-wave solver with measured material data.

Why it mattersHow do particle shape and index create a subwavelength jet or a sharply curved optical hook?

Start with the essentials

Focus question
How do particle shape and index create a subwavelength jet or a sharply curved optical hook?
One-sentence intuition
The detector curve and all three numerical readouts are recomputed from FWHM<λ2\mathrm{FWHM}<\frac{\lambda}{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

FWHM<λ2\mathrm{FWHM}<\frac{\lambda}{2}

The implementation evaluates this relation with dimensional inputs and an executable analytic or numerical benchmark. The displayed result is an analytic trend model; quantitative near-field prediction requires a Maxwell full-wave solver with measured material data.

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: Microsphere nanojet

    Select Microsphere nanojet. Sweep Particle index, hold Shape asymmetry 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: Cylinder focus

    Select Cylinder focus. Sweep Particle index, hold Shape asymmetry 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: Asymmetric Janus hook

    Select Asymmetric Janus hook. Sweep Particle index, hold Shape asymmetry 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.