geometric opなし → table(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.depth_of_field(focal_mm=50.0, f_number=8.0, subject_mm=2000.0, coc_mm=0.03) (実装を直接呼ぶなら import optics; optics.depth_of_field(focal_mm=50.0, f_number=8.0, subject_mm=2000.0, coc_mm=0.03)、台帳から引くなら opsoptics.get("depth_of_field"))Photographic depth of field: near limit, far limit and hyperfocal distance.
The classical circle-of-confusion model. With H = f^2/(N*c) + f the
hyperfocal distance and s the focused subject distance:
near = s*(H - f) / (H + s - 2f) and far = s*(H - f) / (H - s).
Returns a dict: near_mm · far_mm · depth_mm (far - near) ·
hyperfocal_mm · far_is_infinite (a bool, so a caller never has to
test for inf by accident).
far_mm is inf at or beyond the hyperfocal distance, by contract,
not by accident — focus at H and everything from H/2 to infinity
is acceptably sharp, which is the whole point of the hyperfocal distance.
depth_mm is then inf too. far_is_infinite says so explicitly,
and the identity near(H) == H/2 is exact (verified in the tests).
coc_mm is the acceptable circle of confusion in the image plane: the 35 mm convention is 0.03 mm, a machine-vision rule of thumb is 1-2 pixel pitches. It is a choice, not a property of the lens — halve it and the depth of field halves with it, which is why two depth-of-field calculators disagree.
Ground truth: f = 50, N = 8, c = 0.03 gives H = 10466.67 mm; at
s = H the near limit is exactly H/2 = 5233.33 mm and the far limit
is inf; the near/far limits bracket the subject for every s < H.
Raises ValueError: non-positive or non-finite focal_mm,
f_number, subject_mm, coc_mm; subject_mm <= focal_mm (an object
inside the front focal length cannot be imaged by this lens — see
:func:thin_lens); a hyperfocal distance that is not greater than the
focal length (a degenerate combination of N and c).
Paraxial, thin, and blur-circle based: it ignores diffraction, which for
small apertures becomes the real resolution limit — compare with
:func:mtf_diffraction before trusting an N = 22 calculation.
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/lightfield_depth.pypy -3.11 examples/optics_imaging.pytable を入力に取れる)abcd_matrix · wavefront_stats · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd · spot_diagram
geometric)thin_lens · abcd_matrix · abcd_trace · relative_illumination
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.