oct op• Data kinds: table → table
• Call: import fullseye as fs; fs.ledger.oct_ascan(interferogram, window='hann', dc='reference', zero_pad=2, quadrature=None, a2=0.0, a3=0.0, k_center=None) (to call the implementation directly, import octscan; octscan.oct_ascan(interferogram, window='hann', dc='reference', zero_pad=2, quadrature=None, a2=0.0, a3=0.0, k_center=None); from the registry, opsoptics.get("oct_ascan"))
k-linear spectral interferogram → A-scan (reflection amplitude along depth, table).
> The detailed description below is the original text — the summary and the headings are translated.
手順: DC 除去(dc: "reference" = 参照腕だけのスペクトルを引く / "reference+sample" = 試料腕だけも引く(自己相関のアーチファクトを消す)/ "mean"(束なら列の中央値)/ "smooth"(各スペクトルの緩やかな包絡 = 幅 N/80 のガウスの低域を引く。参照を測っていない記録向け)/ "none")→ 窓(window)→ 分散補償(a2・a3、0 なら何もしない) → zero_pad 倍に詰めて FFT。深さ = 片道の光路(空気中 µm)z_j = π j/(N_pad δk)、範囲 z_max = π/(2δk)。
実数のスペクトルは ±z が区別できない(鏡像: 参照腕より手前の面は同じ深さに折り返して見える)ので正の側だけを返す。quadrature に参照腕の位相を π/2 ずらしたスペクトル(同じ表の形)を渡すと複素のスペクトル I₀ + i I_{π/2} を組み、両側(−z_max〜+z_max)を返す(full range)。分散補償を掛けたスペクトル(複素、oct_dispersion_compensate の出力)は片側。
返り値: dict(kind="oct_ascan", z_um, amplitude(|A|)、db(20 log10 |A|)、noise_sigma(|A|² の中央値から推定した雑音の rms、信号が深さの一部しか占めない前提)、snr_db(最大ピーク)、z_max_um、center_nm、bandwidth_nm、two_sided)。
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_dispersion_broadening · oct_interferogram · oct_bscan_simulate · oct_from_spectra · oct_k_linearize · oct_dispersion_estimate · oct_dispersion_compensate
*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.