lensmerit op• Data kinds: table → table
• Call: import fullseye as fs; fs.ledger.merit_evaluate(system=None, operands=None, fields=None, wavelengths=None, field_weights=None, wavelength_weights=None) -> 'dict' (to call the implementation directly, import lensmerit; lensmerit.merit_evaluate(system=None, operands=None, fields=None, wavelengths=None, field_weights=None, wavelength_weights=None) -> 'dict'; from the registry, opsoptics.get("merit_evaluate"))
Apply an operand table to a prescription and return each row's value, target, weight, contribution and share (table).
*operands* is a list of rows {"op": "EFFL", "target": 50.0, "weight": 1.0, ...arguments} (see merit_operands_list), or the dict merit_default returns. Each row contributes (weight (value - target))^2; a one-sided row (ETGT ...) contributes 0 while the bound holds. A group row (TRAN, OPDW) contributes the sum over its rays. *fields* (default: on axis, or 0 / 0.7 / 1.0 of the system field) and *wavelengths* (default the system wavelength; the primary is the one equal to it) are what the rows' field / wavelength indices point into; a row with "all" is expanded to one row per field and wavelength, its weight times sqrt(field_weight) and sqrt(wavelength_weight) (default 1).
Returns {"table", "merit", "n_operands", "n_residuals", "dominant", "fields", "wavelengths"}. Each table row has index op label value target weight sense margin contribution percent satisfied n_residuals source args (margin is the slack of a one-sided row, negative when violated). Fail-closed: an unknown operand, a missing or unknown argument, an index out of range, a lost ray, a value that is not finite and a table of zero weights are all ValueError.
Example::
t = merit_evaluate(lens, [{"op": "EFFL", "target": 50.0}, {"op": "ETGT", "surf": 0, "target": 1.0}])
t["merit"], t["dominant"]
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_lens_merit_operands — py -3.11 examples/poc_lens_merit_operands.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
lensmerit)merit_operands_list · merit_default · merit_boundary_operands · optimize_lens_operands · merit_contributions
*Provenance: lensmerit.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.