oct 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.oct_dispersion_broadening(material='SILICA', length_mm=10.0, center_nm=840.0, bandwidth_nm=50.0) (to call the implementation directly, import octscan; octscan.oct_dispersion_broadening(material='SILICA', length_mm=10.0, center_nm=840.0, bandwidth_nm=50.0); from the registry, opsoptics.get("oct_dispersion_broadening"))
How much an A-scan peak broadens from a dispersion mismatch, a material (length L, round trip) present only in the sample arm (table, closed form).
> The detailed description below is the original text — the summary and the headings are translated.
往復の位相 φ(k) = 2 L k (n(k) − n_g(k0))(群遅延は参照腕で合わせた前提)を k0 で展開し、φ₂ = 2L d²(nk)/dk²、φ₃ = 2L d³(nk)/dk³。ガウス光源(パワーの標準偏差 σ = Δk/2.355)の包絡は √(1 + σ⁴ φ₂²) 倍に広がる(2 次まで厳密、3 次は非対称な裾)。数値補償の係数は a2 = φ₂/2 [µm²]、a3 = φ₃/6 [µm³] で、展開の中心は k0 = 2π/λ0(k_center)—— oct_dispersion_compensate / oct_ascan には a2・a3 と同じ k_center を渡す(中心がずれると a2 が 3 a3 δk だけ変わる)。層そのものの分散(厚い樹脂の底の界面が広がる)も同じ式で、L に層の厚さを入れる。
返り値: dict(kind="oct_dispersion", phi2_um2, phi3_um3, a2, a3, broadening, group_index, gvd_fs2_per_mm)。
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_industrial_oct — py -3.11 examples/poc_industrial_oct.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
oct)oct_design · oct_interferogram · oct_bscan_simulate · oct_from_spectra · oct_k_linearize · oct_dispersion_estimate · oct_dispersion_compensate · oct_ascan
*Provenance: octscan.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.