imaging opimage2d → pairsimport fullseye as fs; fs.ledger.encircled_energy(psf, pixel_pitch_um=1.0, samples=64, max_radius_um=None, centre='centroid') (実装を直接呼ぶなら import optics; optics.encircled_energy(psf, pixel_pitch_um=1.0, samples=64, max_radius_um=None, centre='centroid')、台帳から引くなら opsoptics.get("encircled_energy"))Encircled energy of a point-spread function: the fraction of the energy inside a circle of radius r.
The standard spot-quality curve of lens design (how much light lands inside a given pixel or fibre
core). psf is an image2d of non-negative samples on a grid of pixel_pitch_um (use the
pixel_pitch_um argument of lensimage.psf_from_opd, or the fine-grid spacing of
pupil_psf); the circle is centred on the energy centroid by default (centre = 'centroid',
'peak', 'fft' for the fftshift origin, or a (row, col) pair in pixels). Edge pixels are
weighted by the exact area inside the circle, so the curve is smooth in r; a radius under about two
pixels is resolved only coarsely.
Returns a (samples, 2) float64 pairs array: column 0 the radius in micrometres from 0 to
max_radius_um (default the largest circle that fits in the array about the centre), column 1 the
fraction of the array’s energy inside, in [0, 1], non-decreasing. Energy outside the array is
not known, so a PSF window that cuts the wings off reads high; keep the window several times the
spot.
Ground truth it reproduces: an unaberrated circular pupil gives the Airy pattern, whose encircled
energy is 1 - J0(v)^2 - J1(v)^2 with v = 2 pi r / (lambda N): 83.8 % at the first dark ring
(r = 1.2197 lambda N, Born and Wolf), 91.0 % at the second, 93.8 % at the third (measured in
tests/test_optdesign_psf_metrics.py).
Raises ValueError: psf not 2-D / smaller than 3x3 / negative / zero energy / non-finite;
non-positive pixel_pitch_um or max_radius_um; samples outside [2, 4096]; a radius that
leaves the array; a bad centre.
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/optical_design_metrics.pypy -3.11 examples/poc_zoom_configurations.pypairs を入力に取れる)mtf50 · energy_to_photons · spectral_product · spectral_integral · spectral_integral_table · spectral_stats · kubelka_munk_reflectance · hyperspectral_capture
imaging)psf_to_mtf · mtf_diffraction · ensquared_energy · energy_radii · mtf_tangential_sagittal · wavefront_stats · edge_spread · sfr_from_edge
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.