illumination optable → tableimport fullseye as fs; fs.ledger.solid_angle_brightness(light, view_na=0.1, slopes_deg=(0.0, 1.0, 2.0, 5.0, 10.0), slope_azimuth_deg=0.0, roughness_deg=0.0, n_samples=4096, seed=0) (実装を直接呼ぶなら import illumdesign; illumdesign.solid_angle_brightness(light, view_na=0.1, slopes_deg=(0.0, 1.0, 2.0, 5.0, 10.0), slope_azimuth_deg=0.0, roughness_deg=0.0, n_samples=4096, seed=0)、台帳から引くなら opsoptics.get("solid_angle_brightness"))Brightness of a smooth or rough specular facet versus its slope (table).
For each facet slope θ in slopes_deg (tilted toward slope_azimuth_deg;
a negative slope tilts the other way) the camera (object-side NA
view_na, half-angle β = asin NA, on the +z axis) records the share of its
pupil that sees the mirrored illumination cone of light
(:func:solid_angle_light, half-angle α, axis tilt ψ):
closed_form — the intersection of two spherical caps (half-angles α
and β, centres d apart; d = 2θ for an on-axis cone) divided by
the cap of the pupil: exact for a mirror facet when the pupil is
weighted by solid angle. With roughness_deg σ > 0 the same closed
form averaged over the Gaussian micro-facet tilts on a fine midpoint
grid around the cone (deterministic: no sampling noise);numeric — n_samples rays over the narrower of the two cones (the
pupil disc, uniform in direction cosines = the projected-solid-angle
weighting of a lens, when α ≥ β; the source cap, each direction mirrored
into the view space and weighted by its cosine, when α < β), each
mirrored by the facet; with roughness_deg σ > 0 each ray meets a
micro-facet tilted by a Gaussian slope (σ per axis, seeded by seed):
the satin / blasted surface on which the boundary smears out.Returns {"rows": [{slope_deg, closed_form, numeric,
centre_distance_deg}], ...}. At σ = 0 the two columns differ only by the
pupil weighting (O(β²)) and the quadrature. Brightness is relative to
source radiance × Fresnel reflectance (1 = the whole pupil lit).
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/poc_illumination_cone_vs_na.pytable を入力に取れる)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
illumination)light_source · irradiance_map · illumination_uniformity · defect_contrast · lighting_sweep · illumination_design · solid_angle_light · solid_angle_boundaries
Provenance: illumdesign.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.