oct_dispersion_compensate — OPTICS oct op

• Data kinds: table → table

• Call: import fullseye as fs; fs.ledger.oct_dispersion_compensate(interferogram, a2=0.0, a3=0.0, k_center=None, dc='reference') (to call the implementation directly, import octscan; octscan.oct_dispersion_compensate(interferogram, a2=0.0, a3=0.0, k_center=None, dc='reference'); from the registry, opsoptics.get("oct_dispersion_compensate"))

Usage

Numerical dispersion compensation (table → table): turn the DC-removed, k-linear spectrum into an analytic signal and multiply by exp(−i(a2Δk² + a3Δk³)).

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

Δk = k − k_c(既定は k の範囲の中央)。a2 [µm²]、a3 [µm³] は oct_dispersion_broadening の a2・a3 (既知の材料)か oct_dispersion_estimate(測ったスペクトルから)。解析信号は正の周波数だけなので、補償後の A スキャンは片側(鏡像の側は捨てる —— 鏡像の分離ではない)。k 等間隔でなければ拒否。

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_k_linearize · oct_dispersion_estimate · 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.