confocal op• Data kinds: table → table
• Call: import fullseye as fs; fs.ledger.chromatic_confocal_limits(probe, layer_material=None, tilt_max_deg: 'float' = 30.0, n_tilt: 'int' = 61) -> 'dict' (to call the implementation directly, import chromconf; chromconf.chromatic_confocal_limits(probe, layer_material=None, tilt_max_deg: 'float' = 30.0, n_tilt: 'int' = 61) -> 'dict'; from the registry, opsoptics.get("chromatic_confocal_limits"))
From the calibration table, give in closed form the measuring range, axial resolution, largest tilt that still returns light and minimum film thickness.
> The detailed description below is the original text — the summary and the headings are translated.
• range_um —— 較正表の端から端(焦点ずれの総量)。
• fwhm_closed_um / fwhm_um —— 鏡面応答の FWHM(無収差の閉形式 0.4430 λ/(1 − cos α) と、縦球面収差込みの数値)を帯域の両端と中央で。range_over_fwhm は目盛の数(範囲 / 中央の FWHM)。
• max_tilt_deg —— 鏡面の傾きの上限(各波長の NA で sin 2θ = 2NA)。最小(最も厳しい)値。
• tilt_return —— 中央の波長の NA で、傾き 0〜*tilt_max_deg* に対する戻る光の割合(pairs)。
• min_thickness_um —— 等しい 2 つの鏡面応答が Sparrow の基準で分かれる見かけの間隔(SPARROW_FRACTION × FWHM)に、層の n(λ) と平板の球面収差の補正を掛けた最小の厚さ(中央の波長)。干渉を入れない強度の重なりだけの限界(モジュールの開示を参照)。
Raises ValueError: probe の形の誤り、材料表の外、tilt_max_deg が (0, 89] の外。
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_chromatic_confocal — py -3.11 examples/poc_chromatic_confocal.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
confocal)chromatic_confocal_probe · confocal_axial_response · chromatic_confocal_spectrum · chromatic_confocal_peaks · chromatic_confocal_readout
*Provenance: chromconf.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.