moire_align 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.moire_differential_shift(phase_a=0.3, phase_b=-0.3, phase_ref_a=0.0, phase_ref_b=0.0, p_mask_um=2.0, p_wafer_um=2.04, moving='wafer') (to call the implementation directly, import moirealign; moirealign.moire_differential_shift(phase_a=0.3, phase_b=-0.3, phase_ref_a=0.0, phase_ref_b=0.0, p_mask_um=2.0, p_wafer_um=2.04, moving='wafer'); from the registry, opsoptics.get("moire_differential_shift"))
Reads the displacement with common errors removed, from two pairs with opposite pitch differences (A = (p_m, p_w), B = (p_w, p_m)).
> The detailed description below is the original text — the summary and the headings are translated.
ずれ δ では 2 つの縞が逆向きに動き(dφ_A/dδ と dφ_B/dδ の符号が逆)、マーク全体がカメラに対して s 動くと 同じ向きに同じ量(−2π|f|s)動く。だから
δ = wrap(Δφ_A − Δφ_B) / (g_A − g_B)、 共通 = Δφ_A − g_A δ
で、像の流れ・ステージの振動・カメラの倍率(どちらの縞にも同じに効く分)は δ から消える。捕捉範囲は 2π/|g_A − g_B| = p_m p_w / (p_m + p_w)(単一の対のおよそ半分)。
返り値: dict(shift_nm, common_phase_rad, drift_nm(共通の位相を像の流れに換算)、ambiguity_nm, single_a_nm / single_b_nm(各対だけで読んだ場合 —— 共通の誤差がそのまま乗る))。Raises ValueError: 位相が有限でない、同じピッチ、綴り違い。
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_moire_alignment — py -3.11 examples/poc_moire_alignment.py
• poc_moire_screen — py -3.11 examples/poc_moire_screen.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
moire_align)moire_magnification · moire_talbot_gap · moire_overlay_image · moire_phase · moire_phase_to_shift · moire_mark_read · moire_phase_crlb
*Provenance: moirealign.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.