film op• Data kinds: none → table (an op determined by its arguments alone — it takes no image or data input)
• Call: import fullseye as fs; fs.ledger.film_color(film='SIO2', substrate='SI', thickness_min_nm=0.0, thickness_max_nm=1000.0, n_points=101, under=(), angle_deg=0.0, na=0.0, wl_min_nm=380.0, wl_max_nm=780.0, ambient=1.0, exposure=1.0, illuminant=None) (to call the implementation directly, import filmoptics; filmoptics.film_color(film='SIO2', substrate='SI', thickness_min_nm=0.0, thickness_max_nm=1000.0, n_points=101, under=(), angle_deg=0.0, na=0.0, wl_min_nm=380.0, wl_max_nm=780.0, ambient=1.0, exposure=1.0, illuminant=None); from the registry, opsoptics.get("film_color"))
Interference colour as the film thickness varies (the wafer colour chart), seen under D65 with the CIE 1931 colour-matching functions.
> The detailed description below is the original text — the summary and the headings are translated.
film: 膜の材料(材料表の鍵など)。under があればその上に乗る最上層。
substrate: 基板。thickness_min_nm / thickness_max_nm / n_points: 膜厚の格子。
under: 膜と基板の間の層 [(材料, 厚さ nm), ...](入射側から順)。
angle_deg / na / ambient: multilayer_reflectance と同じ。wl_min_nm / wl_max_nm: 色を積む波長の範囲(既定 380〜780 nm。材料表の範囲が足りなければ ValueError)。
exposure: 線形 sRGB に掛ける露出(見本を明るく見せたいとき。CIELAB と色相は露出 1 の値)。
illuminant: 照明の分光分布 pairs(λ [nm], 相対値)。None は D65(matappear の平滑近似)。
白(反射率 1)が sRGB の白に落ちるよう同じ照明で正規化する(白色順応)。輝線の多い蛍光灯では
厚い膜の色が残る —— 連続光では縞が帯域内で平均されて灰色に近づく。
返り値 dict:
thickness_nm (N,) / reflectance (N, K) と wavelength_nm (K,) / linear_srgb (N, 3)(白 = 1、負は色域外)/
srgb (N, 3)(ガンマ済み・0〜1 に切った表示用)/ lab (N, 3)(CIELAB、白 = D65)/ hue_deg (N,)(a*b* の色相角)/
chroma (N,)。
★色は膜厚について周期的に繰り返す(SiO₂ on Si では光学的厚さ n d が約 λ/2 ≈ 190 nm 進むごとに似た色に戻る) —— 色だけでは膜厚が一意に決まらない(film_thickness_map の n_candidates)。
Every optics op validates its input before computing (nothing slips through silently):
• Units are baked into the argument name — _mm / _um / _deg / _mrad. Confusing mm with µm does not crash; it yields a plausible-looking wrong answer, so the name prevents it. Nothing here guesses the unit from the magnitude.
• Strings raise ValueError — float('50') succeeds, so an unparsed configuration value would slip through as a length (measured: thin_lens('50', '200') returned a plausible 66.667 mm). bool is refused too, as the implicit promotion True == 1.
• complex / masked arrays raise ValueError (real-valued slots only; silently dropping the imaginary part or peeling off the mask is refused). NaN/Inf raises ValueError on every input.
• Division by zero and its relatives are refused by name: focal length 0, radius of curvature 0, refractive index <= 0, a fully opaque aperture (all zeros, so the normalisation is 0/0), a PSF whose sum is <= 0, a Stokes vector with S0 = 0, and an object sitting at the front focal point (the image is at infinity).
• Only two ops return a non-finite value, and both state it as a contract: depth_of_field returns far_mm = inf beyond the hyperfocal distance (that is what the hyperfocal distance means), and gaussian_beam returns wavefront_radius_mm = inf at the waist (the radius of curvature of a plane wavefront). Both also return a finite companion (far_is_infinite / curvature_per_mm). Any other silent NaN/Inf is detected internally and raises ValueError — "float64 overflowed" and "the answer is infinite" are different claims, so the first is never returned wearing the face of the second.
• Size caps: generated grids are capped by optics.MAX_GRID (4096); supplied fields/PSFs/apertures by optics.MAX_FIELD_ELEMENTS (2^24); ABCD element chains by optics.MAX_SYSTEM_ELEMENTS (1024); Zernike by MAX_ZERNIKE_TERMS (512) / MAX_ZERNIKE_ORDER (40) / MAX_ZERNIKE_BASIS (2^25). This closes, fail-closed, the paths where a small argument triggers a huge internal allocation (measured: n_max=40 × 4096² needs 108 GB).
• Physically impossible states are refused too: a Stokes vector with degree of polarisation > 1, negative transmittance, negative intensity, and invalid Zernike indices such as n-|m| odd.
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• The canonical algorithm (author, year) and its uses are named in the family usage guide above.
• poc_thin_film_reflectometry — py -3.11 examples/poc_thin_film_reflectometry.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
film)multilayer_reflectance · film_thickness_fft · film_thickness_fit · film_thickness_map
*Provenance: filmoptics.py — OPTICS operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.