wave opなし → measurement(引数だけで決まる op —— 画像やデータの入力を取らない)import fullseye as fs; fs.ledger.defocus_from_shift(shift_um=10.0, wavelength_um=0.55, f_number=5.6) (実装を直接呼ぶなら import optics; optics.defocus_from_shift(shift_um=10.0, wavelength_um=0.55, f_number=5.6)、台帳から引くなら opsoptics.get("defocus_from_shift"))Defocus wavefront error (waves at the pupil edge) of an axial focus shift.
Moving the detector (or, equivalently, the focus) by shift_um along the
axis of an f/N beam adds the quadratic wavefront error
W(rho) = W20 * rho^2 with
``W20 = shift / (8 * lambda * N^2)`` [waves]
— the paraxial Seidel defocus term, rho the normalised pupil radius
(1 at the edge). This is the number :func:pupil_psf takes as
defocus_waves, so the two compose: a longitudinal chromatic aberration
(focal shift versus wavelength, e.g. from raytrace.chromatic_shift or a
published df/f(lambda)) becomes a per-band defocus_waves here and a
per-band PSF there.
Returns a float (a measurement). The sign is the sign of shift_um:
positive = the detector sits beyond the focus (the beam has converged
and is diverging again). For a symmetric pupil the PSF does not depend on
the sign; for an asymmetric one (a slit, a W, an off-axis hole) the sign
flips the PSF through the centre — that is exactly the handle a
one-photoreceptor eye can read the direction of defocus from.
Ground truth (closed form, tests/test_optics.py): shift = 8 lambda N^2
is exactly one wave; the function is linear in shift_um and inverse in
wavelength_um and in N^2 (checked at two of each). At N = 1.5,
lambda = 0.55 um (a cephalopod-scale f/1.5 eye) a 250 um focus shift
is 25.3 waves.
Raises ValueError: non-finite shift_um; non-positive or non-finite
wavelength_um / f_number.
Paraxial: W20 = shift/(8 N^2) is the small-angle expansion of the exact
shift * (1 - cos theta) sag; at f/1.5 (sin theta = 1/3) the exact
edge value is 5.7 % below the paraxial one — the number is a defocus
convention, not a high-NA wavefront.
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.pymeasurement を入力に取れる)—
wave)airy_pattern · angular_spectrum_propagate · fraunhofer_pattern · gaussian_beam · pupil_psf · pupil_blur
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.