telecentric op• Data kinds: table → table
• Call: import fullseye as fs; fs.ledger.chief_ray_angle(system, field_mm=5.0, object_shift_mm=0.0) (to call the implementation directly, import telecentric; telecentric.chief_ray_angle(system, field_mm=5.0, object_shift_mm=0.0); from the registry, opsoptics.get("chief_ray_angle"))
The real chief ray from the object point at *field_mm* through the stop centre: its object-side angle (the telecentricity) and where it lands on the image.
> The detailed description below is the original text — the summary and the headings are translated.
入射瞳を経由せず、絞りの面で光線の高さが 0 になる打ち出しの傾きを Newton 法で探す(口径を外した複製で狙い、最後に口径つきで追って蹴られを判定する)。だから入射瞳が無限遠(物体側テレセン)でも物体の裏(ハイパーセントリック)でも同じ式で動く。*object_shift_mm* は物体をレンズへ近づける量(正 = 高い面)。
返り値: object_angle_deg(物体側の主光線の傾き。光軸から離れる向きが正に符号を揃える: 通常のレンズは負、物体側テレセンは 0、ハイパーセントリックは正)・object_slope(dy/dz そのもの)・image_angle_deg(像側)・ image_y_mm(固定した像面での高さ)・magnification(image_y / field)・pupil_distance_mm (物体面から主光線が光軸と交わる点 = 実光線の入射瞳までの距離。正 = レンズ側、平行なら inf)・ valid(口径つきで像面まで届いたか)・stop_residual_mm・iterations。
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)telecentric_lens · 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.