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_interferogram(sample=None, center_nm=840.0, bandwidth_nm=50.0, mode='sd', n_pixels=2048, wl_min_nm=None, wl_max_nm=None, spectrometer_fwhm_px=1.0, linewidth_nm=None, sweep_nonlinearity=0.0, source_spectrum=None, photons_ref_per_pixel=20000.0, photons_mirror_per_pixel=None, eta=0.8, sigma_d=10.0, K=1.0, full_well=None, quantize=False, reference_phase_rad=0.0, mismatch_material=None, mismatch_length_mm=0.0, focus_um=None, beam_waist_um=None, oversample=8, noise=True, seed=0, grid='lambda') (to call the implementation directly, import octscan; octscan.oct_interferogram(sample=None, center_nm=840.0, bandwidth_nm=50.0, mode='sd', n_pixels=2048, wl_min_nm=None, wl_max_nm=None, spectrometer_fwhm_px=1.0, linewidth_nm=None, sweep_nonlinearity=0.0, source_spectrum=None, photons_ref_per_pixel=20000.0, photons_mirror_per_pixel=None, eta=0.8, sigma_d=10.0, K=1.0, full_well=None, quantize=False, reference_phase_rad=0.0, mismatch_material=None, mismatch_length_mm=0.0, focus_um=None, beam_waist_um=None, oversample=8, noise=True, seed=0, grid='lambda'); from the registry, opsoptics.get("oct_interferogram"))
The spectral interferogram of one OCT measurement of a layer stack (sample) (table).
> The detailed description below is the original text — the summary and the headings are translated.
sample = {"ambient": "air", "surface_um": 表面の光路(参照腕との差、空気中 µm、負なら鏡像の側),
"layers": [{"material", "thickness_um", "attenuation_per_mm"(強度の減衰係数 µ_t、往復で exp(−2µd)), "scatterers_per_mm"(層の中の点散乱体の密度)、"scatter_amplitude"(1 個の振幅反射率)}, …],
"substrate": 材料}。省略時は空気 / PMMA 25 µm / ポリカーボネート 40 µm / ガラス相当の基板。
場の和: E_s(k) = Σ_j r_j(k) T_j A_j exp(2ik Δ_j(k))、Δ_j(k) = surface + Σ_(上の層) n_i(k) d_i (位相屈折率で位相、群遅延は自然に出る)、r_j = (n_上 − n_下)/(n_上 + n_下)(各 k で)、T_j = Π(1 − r²)、A_j = exp(−Σ µ_i d_i)。参照光(振幅 1、位相 reference_phase_rad)と足して |E_r + s·E_s|² ×光源 S(k) (s² = photons_mirror/photons_ref)—— 相互相関・自己相関・DC が全部入る。
検出: mode="sd" は分光器(grid="lambda" = λ 等間隔の画素、"k" = k 等間隔の画素。画素の箱で積分 + 分解能 spectrometer_fwhm_px のガウス)、mode="ss" は時間等間隔の波長掃引(k(t) = k_lo + Δk (t + ε t(1−t))、ε = sweep_nonlinearity、瞬時線幅 linewidth_nm のガウス、各標本は瞬時の値 —— 画素の箱が無いので roll-off は線幅だけで決まる)。細かい等間隔 k(1 画素 oversample 点)で作ってから、分光器は画素の区間で積分、掃引は標本の k で読む。
雑音: ショット(電子の平方根)+ 読み出し σ_d e⁻、×K で DN、full_well で飽和、quantize で整数化。
分散の不一致: 試料腕だけに mismatch_material が mismatch_length_mm(群遅延は参照腕で合わせる)。
焦点: focus_um(物理深さ)と beam_waist_um を渡すと、共焦点の結合 (1 + ((z − z_f)/z_R)²)^(−1/2)。
返り値: dict(kind="oct_interferogram", spectrum (N,) DN, wavelength_nm, k_rad_per_um(画素の中心の真の k)、reference_spectrum(参照腕だけ・雑音なし)、sample_only_spectrum(試料腕だけ・雑音なし = 自己相関の素)、interfaces(真値: 物理深さ・群遅延の光路・反射率)、settings)。
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_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.