telecentric 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.telecentric_lens(kind='object', focal_mm=100.0, magnification=-0.5, na_object=0.01, front_aperture_mm=12.5, stop_shift_mm=0.0, glass='N-BK7', wavelength_um=0.58756) (to call the implementation directly, import telecentric; telecentric.telecentric_lens(kind='object', focal_mm=100.0, magnification=-0.5, na_object=0.01, front_aperture_mm=12.5, stop_shift_mm=0.0, glass='N-BK7', wavelength_um=0.58756); from the registry, opsoptics.get("telecentric_lens"))
Prescriptions of three imaging lenses made from the same singlet by moving only the stop (a raytrace.lens_system table).
> The detailed description below is the original text — the summary and the headings are translated.
• kind="entocentric" —— 通常のレンズ。絞りをレンズの直後(1 mm)に置く。入射瞳はレンズの位置にあり、主光線は物体から入射瞳へ向かって傾く(近い物ほど大きく写る)。
• kind="object" —— 物体側テレセン。絞りを後側焦点に置く。入射瞳は無限遠、物体側の主光線は光軸に平行。
• kind="bi" —— 両側テレセン。後側焦点の絞りの後ろに、前側焦点が絞りに来る 2 枚目のレンズ(焦点距離 |magnification| × focal_mm)を置く。物体は 1 枚目の前側焦点、倍率は −f₂/f₁。
*magnification* は横倍率(実像なので負)、*na_object* は物体側の開口数(絞りの半径を近軸の周辺光線から決める)、*front_aperture_mm* は前玉の半口径(テレセンの視野はこれで決まる)。*stop_shift_mm* は絞りを設計位置から光軸方向へずらす量(正 = 像側)で、テレセン度の崩れを再現する(Newton の式で入射瞳は前側焦点から −f²/δ)。レンズは *glass* の等凸単レンズで、縁の厚さが 1 mm 残る中心厚を選ぶ。像面は近軸の像の位置に固定する。
返り値は lens_system の dict に "design"(種別・焦点距離・絞りの半径・物体距離・面の役割)を足したもの。絞りの面は平面なので、その R は lens_system の規約どおり inf(非有限は契約)。raytrace のどの op にもそのまま渡せる(ただし入射瞳が無限遠の処方は raytrace.chief_ray では
狙えないので、主光線は chief_ray_angle を使う)。
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_optics_drawings — py -3.11 examples/poc_optics_drawings.py
• poc_telecentric_metrology — py -3.11 examples/poc_telecentric_metrology.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
telecentric)chief_ray_angle · magnification_vs_depth · telecentricity_error · defocus_spot_vs_depth · vignetting_vs_field · 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.