linescan 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.tdi_snr(photons_per_stage=200.0, stages=(1, 2, 4, 8, 16, 32, 64, 128), eta=0.6, sigma_d=20.0, K=0.1, architecture='charge', sigma_q2=0.08333333333333333) (to call the implementation directly, import linescan; linescan.tdi_snr(photons_per_stage=200.0, stages=(1, 2, 4, 8, 16, 32, 64, 128), eta=0.6, sigma_d=20.0, K=0.1, architecture='charge', sigma_q2=0.08333333333333333); from the registry, opsoptics.get("tdi_snr"))
SNR of a TDI sensor for each stage count N (table) — the EMVA 1288 linear model scaled by the number of stages.
> The detailed description below is the original text — the summary and the headings are translated.
1 段あたりの平均光子数 μ_p(*photons_per_stage*)、量子効率 η、暗時雑音 σ_d [e⁻]、システムゲイン K [DN/e⁻]、量子化雑音の分散 σ_q² [DN²] は sensorchar.emva_snr_curve と同じ意味。
• architecture="charge"(CCD 型・電荷領域で足す): 電荷を段から段へ送って最後に 1 回だけ読む。EMVA 1288 6.4 節のとおり「露光が N 倍の 1 画素」: SNR = Nημ_p / √(σ_d² + σ_q²/K² + Nημ_p)。
• architecture="digital"(CMOS 型・各段で読んでから足す): 読み出しと量子化の雑音も N 回積もる: SNR = Nημ_p / √(N(σ_d² + σ_q²/K²) + Nημ_p) = √N · SNR(1 段)—— どの明るさでも厳密に √N。
ショット雑音律の領域(ημ_p ≫ σ_d²)では両方とも √N。差が出るのは暗いとき(電荷加算は最大 N 倍まで伸びる)。返り値 dict: stages(int 配列)/ snr / snr_one_stage / gain(snr / snr_one_stage)/ sqrt_n / signal_e(Nημ_p)/ noise_e(電子の単位の雑音)/ architecture。
Raises ValueError: μ_p が負 / 段数が 1 未満・上限超え・整数でない / η が (0, 1] の外 / σ_d・σ_q² が負 / K が正でない / architecture が違う。
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_tdi_linescan — py -3.11 examples/poc_tdi_linescan.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
linescan)tdi_sync_mtf · linescan_acquire · lens_field_profile · linescan_lens_columns · linescan_lens_example
*Provenance: linescan.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.