fresnel_reflectance — 3D optics op

Data kinds: measurementmeasurement

Call: import fullseye as fs; fs.ledger.fresnel_reflectance(cos_i, eta1=1.0, eta2=1.5) (to call the implementation directly, import match3d; match3d.fresnel_reflectance(cos_i, eta1=1.0, eta2=1.5); from the registry, ops3d.get("fresnel_reflectance"))

Usage

Fresnel reflectance (unpolarised = the s/p average). The share that splits into reflection and transmission at a transparent interface.

> The detailed description below is the original text — the summary and the headings are translated.

垂直入射で ((n1−n2)/(n1+n2))²(air→glass=0.04)。臨界角超で 1.0(全反射)。透明体レンダ/検査に。

`cos_i は入射角の余弦(実数スカラー。配列・None は ValueError)。符号は捨てる(|cos_i|`)。

`eta1 は入射側、eta2 は透過側の屈折率。s 偏光 rs と p 偏光 rp` の平均を float で

返す([0, 1])。Brewster 角では `rp = 0 になるが平均は 0 にならない。cos_i = 0`(かすめ

入射)で 1.0。透過率は `1 −` 反射率(吸収なし)。

用途: `refract` で曲げた光線の重み、透明体の輝度予測。

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

snell_refractionpy -3.11 examples_3d/snell_refraction.py

Ops the type connects to (they accept measurement as input)

vol_gaussian_psf · fuse_to_voxel · snell_angle

Same category (optics)

reflect · refract · normal_from_reflection · snell_angle


*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.