polarization opjones → stokesimport fullseye as fs; fs.ledger.stokes_from_jones(state) (実装を直接呼ぶなら import optics; optics.stokes_from_jones(state)、台帳から引くなら opsoptics.get("stokes_from_jones"))Jones vector -> Stokes vector (the four measurable intensities).
S0 = |Ex|^2 + |Ey|^2 · S1 = |Ex|^2 - |Ey|^2 ·
S2 = 2*Re(Ex*conj(Ey)) · S3 = 2*Im(Ex*conj(Ey)).
In this convention (exp(-i*omega*t) time dependence) S3 > 0 is
right-circular: the Jones vector [1, -i]/sqrt(2) maps to
[1, 0, 0, +1]. (Cross-checked 2026-09-18: pypolar’s jones_to_stokes
gives the opposite S3 sign for the same vector — the other textbook
convention — while the Mueller matrices of every element agree with
pypolar, py-pol and polanalyser to 1e-16. See
tests/test_polarization_external_diff.py.) The convention is pinned by a test rather than left to
the reader, because every textbook picks a different one and a sign slip
here is invisible in intensity measurements.
What the sign means on an image (2026-10-23). Ex is along the rows
(+x right) and Ey down the rows (+y down), as for every camera op. The
S3 > 0 vector [1, -i]/sqrt(2) has field (cos wt, -sin wt): it
turns from +x toward -y, counter-clockwise on the displayed image,
i.e. as seen by the camera receiving the beam. The word "right" that
:func:stokes_analyze attaches to S3 > 0 is the name of the same
vector in a y-up frame (where it turns clockwise as seen by the receiver);
it is kept for compatibility, and tests/test_polarization_per_pixel_2026_10_23.py
pins the on-screen sense by sampling E(t).
Returns a (4,) float64 vector. A Jones vector always describes fully
polarised light, so the result always satisfies S0^2 = S1^2+S2^2+S3^2
exactly (degree of polarisation 1) — verified to 1e-15 in the tests. That
identity is also the reason Jones cannot represent a partially polarised
beam: for that, start from :func:mueller_element instead.
Raises ValueError: state is not a 1-D 2-vector, is masked, or is
non-finite.
optics の全 op は入力を検証してから計算する(黙って通さない):
_mm / _um / _deg / _mrad。mm と µm の取り違えは crash ではなく「もっともらしく間違った答え」なので、名前で防ぐ。大きさから単位を推測する処理は一切しない。ValueError — float('50') は成功してしまうため、未パースの設定値が長さとして通り抜ける(実測: thin_lens('50', '200') がもっともらしい 66.667 mm を返していた)。bool も True == 1 の暗黙昇格として拒否。ValueError(実数枠のみ。虚部の無言切り捨て・マスク剥がしを拒否)。NaN/Inf は全入力で ValueError。depth_of_field の過焦点距離以遠の far_mm = inf(それが過焦点距離の定義)と gaussian_beam のウエストでの wavefront_radius_mm = inf(平面波面の曲率半径)。どちらも有限の相棒(far_is_infinite / curvature_per_mm)を併せて返す。それ以外の無言 NaN/Inf は内部で検出して ValueError —「float64 が溢れた」と「答えが無限大」は別の主張なので、後者の顔で前者を返さない。optics.MAX_GRID(4096)、供給された場/PSF/開口は optics.MAX_FIELD_ELEMENTS(2^24)、ABCD 素子列は optics.MAX_SYSTEM_ELEMENTS(1024)、Zernike は MAX_ZERNIKE_TERMS(512)/ MAX_ZERNIKE_ORDER(40)/ MAX_ZERNIKE_BASIS(2^25)。小さな引数から巨大な内部確保が起きる経路(実測: n_max=40 × 4096² で 108 GB)を fail-closed で塞ぐ。| 物理的に不可能な状態も拒否: 偏光度 > 1 の Stokes ベクトル、負の透過率、負の強度、n- | m | が奇数などの不正な Zernike 添字。 |
py -3.11 examples/optics_imaging.pystokes を入力に取れる)mueller_apply · stokes_analyze
polarization)jones_element · jones_apply · mueller_element · mueller_partial_polarizer · mueller_apply · stokes_analyze · polarization_demosaic · polarization_demosaic_color
Provenance: optics.py — OPTICS operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.