oct_k_linearize — OPTICS oct op

• Data kinds: table → table

• Call: import fullseye as fs; fs.ledger.oct_k_linearize(interferogram, method='cubic', n_out=None, k_calibration=None) (to call the implementation directly, import octscan; octscan.oct_k_linearize(interferogram, method='cubic', n_out=None, k_calibration=None); from the registry, opsoptics.get("oct_k_linearize"))

Usage

Resample a spectral interferogram onto a uniform k grid (table → table).

> The detailed description below is the original text — the summary and the headings are translated.

分光器の画素は λ で等間隔、波長掃引の標本は時間で等間隔 —— どちらも k(= 2π/λ)では等間隔でなく、そのまま FFT すると深いほどピークが広がる(深さに比例する chirp)。method: "cubic"(3 次スプライン、既定)/ "linear"(線形補間 —— 深いところで副ピークと roll-off の悪化が出る)/ "none"(並べ直さずに k を等間隔と仮定するだけ。比較用 —— 何が壊れるかを見るため)。k_calibration を渡すと表の k_rad_per_um の代わりにそれを各標本の k とみなす(波長掃引の k クロック・分光器の較正の誤り)。

出力の k は昇順の等間隔(点数 n_out、既定は入力と同じ)。reference_spectrum も同じく並べ直す。

Family-wide input contract (fail-closed)

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.

Detailed usage guide

• optics_imaging family guide

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

• poc_industrial_oct — py -3.11 examples/poc_industrial_oct.py

Ops the type connects to (they accept table as input)

abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd

Same category (oct)

oct_design · oct_dispersion_broadening · oct_interferogram · oct_bscan_simulate · oct_from_spectra · 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.