telecentric op• Data kinds: table → pairs
• Call: import fullseye as fs; fs.ledger.vignetting_vs_field(system, field_max_mm=None, n_points=41, samples=81) (to call the implementation directly, import telecentric; telecentric.vignetting_vs_field(system, field_max_mm=None, n_points=41, samples=81); from the registry, opsoptics.get("vignetting_vs_field"))
For each object height, the solid angle (area in slope space) of the bundle that reaches the image, relative to on axis (vignetting).
> The detailed description below is the original text — the summary and the headings are translated.
pairs (物高 mm, 割合)。物体側テレセンでは主光線が光軸に平行なので、前玉の半口径より外の物は写らない —— 視野の直径は前玉径で決まる(通常のレンズは主光線が光軸へ寄るので前玉より広く見える)。物体側テレセンの
閉形式: 前玉の上の光線束は半径 r = NA·(物体から前玉まで)の円で中心が物高 h、前玉の半口径 a の円との重なりの面積 / πr²。*field_max_mm* の既定は前玉の半口径の 1.3 倍。
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_telecentric_metrology — py -3.11 examples/poc_telecentric_metrology.py
pairs as input)mtf50 · energy_to_photons · spectral_product · spectral_integral · spectral_stats · kubelka_munk_reflectance · hyperspectral_capture · film_thickness_fft
telecentric)telecentric_lens · chief_ray_angle · magnification_vs_depth · telecentricity_error · defocus_spot_vs_depth · lens_equivalent_pinhole
*Provenance: telecentric.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.