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_talbot_gap(p_mask_um=2.0, wavelength_um=0.55, gap_um=10.0, duty=0.5, samples=512) (to call the implementation directly, import moirealign; moirealign.moire_talbot_gap(p_mask_um=2.0, wavelength_um=0.55, gap_um=10.0, duty=0.5, samples=512); from the registry, opsoptics.get("moire_talbot_gap"))
Talbot effect of a proximity gap: how much of the mask grating's image survives across the gap, and with which sign.
> The detailed description below is the original text — the summary and the headings are translated.
近接露光ではマスクとウェハの間にギャップ g があり、マスクの格子を通った光はウェハに届くまでに回折する。縞の振幅はマスクの像の基本波(1/p の成分)に比例するので、その振幅の gap = 0 に対する比を返す。対称な格子ではこの比は実数で、ギャップによって符号が反転する(反転 = 縞が半周期ずれる = 読みが p/2 跳ぶ)。Talbot 長 z_T = 2p²/λ(近軸)で像は元に戻り、z_T/2 で半周期ずれた像になる。伝搬は optics.angular_spectrum_propagate(近軸近似を使わない)なので、z_T は近軸の値からわずかにずれる。
返り値: dict(contrast_ratio(符号つき)、phase_rad(0 か π)、talbot_length_um(近軸 2p²/λ)、fundamental(複素の基本波係数)、fundamental_at_contact)。Raises ValueError: 正でないピッチ・波長、負のギャップ、duty が (0, 1) の外、p < λ(伝搬する回折次数が無い)。
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_overlay_image · moire_phase · moire_phase_to_shift · moire_differential_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.