optics op• Data kinds: measurement → measurement
• Call: import fullseye as fs; fs.ledger.snell_angle(theta_i_deg, eta1=1.0, eta2=1.5) (to call the implementation directly, import match3d; match3d.snell_angle(theta_i_deg, eta1=1.0, eta2=1.5); from the registry, ops3d.get("snell_angle"))
Angle of incidence (deg) → angle of refraction (deg). n1 sinθi = n2 sinθt. Beyond the critical angle it is NaN (total internal reflection).
> The detailed description below is the original text — the summary and the headings are translated.
`θt = arcsin((eta1/eta2)·sin θi) を度で返す(float)。theta_i_deg` は実数スカラー(配列・
None は ValueError)。符号は保たれる(負の入射角は負の屈折角)。`|(eta1/eta2) sin θi| > 1` なら
`nan(全反射。eta1 > eta2 のときだけ起きる)。臨界角は degrees(arcsin(eta2/eta1))`。
`eta1 == eta2` なら入射角そのまま。
ベクトルで曲げるなら `refract(バッチは :func:glassmirror.refract_rays`。
`refract は 1 本でも TIR があるとバッチ全体が None` になる)、反射率は
`fresnel_reflectance(cos(radians(θi)))`。角度を配列でまとめて曲げる口は無い ——
音響のように屈折率でなく速度で考える場合は `eta = 1/c` を渡す(n ∝ 1/c)。
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• snell_refraction — py -3.11 examples_3d/snell_refraction.py
measurement as input)vol_gaussian_psf · fuse_to_voxel · fresnel_reflectance
optics)reflect · refract · fresnel_reflectance · normal_from_reflection
*Provenance: match3d.py — 3D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.