watermedia 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.refracted_view(points_xyz, eye_xyz, surface='flat', n_water=None, wavelength_um=0.55) -> 'dict' (実装を直接呼ぶなら import watermedia; watermedia.refracted_view(points_xyz, eye_xyz, surface='flat', n_water=None, wavelength_um=0.55) -> 'dict'、台帳から引くなら opsoptics.get("refracted_view"))Where an underwater point appears to a camera above a flat or wavy surface (Fermat’s principle) -> dict.
points_xyz is (M, 3) (or one point), z up and the mean water level z = 0; eye_xyz is the camera, above the surface.
A point with z >= surface height is in the air and is returned unchanged (in_air True, no refraction point).
For an underwater point the path from the point to the eye is the one of stationary optical length
n |R - P| + |E - R| over the crossing point R on the surface; at that point Snell’s law n sin(theta_w) = sin(theta_a) holds.
Flat surface: the crossing lies in the vertical plane through the point and the eye and is the unique root of the
Snell condition (found by bisection to machine precision); the apparent position is the point seen along the eye ray
continued below the surface to the horizontal position of the true point: its depth is x h / (s - x) and tends to d / n for a
camera straight above. Wavy surface: surface is a table with height (square, periodic) and extent_m, as returned by
:func:ocean_height_field; the crossing is found by Newton iteration on the gradient of the optical path with
bicubic heights and normals, started from the flat solution; the vector Snell condition n (d_w x N) = d_a x N is
verified at the result and a point that fails it (or does not converge) is returned as NaN with converged False.
The table has apparent (M, 3), refraction_point (M, 3), converged, in_air, snell_residual
(flat: |n sin(theta_w) - sin(theta_a)|, wavy: the norm of the vector residual), apparent_depth_m and n_water.
A caustic can make several paths possible; the one found is the stationary point nearest the flat solution, or (when the Newton iteration fails on steep ripples) the shortest optical path on a local grid.
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_water_transparent_media.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
watermedia)ocean_spectrum · ocean_height_field · fresnel_water_air · snell_window · water_attenuation · underwater_image · phase_function_hg · scattering_phase_petzold
Provenance: watermedia.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.