matprop op• Data kinds: none → pairs (an op determined by its arguments alone — it takes no image or data input)
• Call: import fullseye as fs; fs.ledger.material_transmittance(material='SI', thickness_mm: 'float' = 0.7, wl_min_nm: 'float' = 900.0, wl_max_nm: 'float' = 1400.0, n_points: 'int' = 101, include_fresnel: 'bool' = True, extra_absorption=None, doping_cm3=None, carrier: 'str' = 'n') -> 'np.ndarray' (to call the implementation directly, import materials; materials.material_transmittance(material='SI', thickness_mm: 'float' = 0.7, wl_min_nm: 'float' = 900.0, wl_max_nm: 'float' = 1400.0, n_points: 'int' = 101, include_fresnel: 'bool' = True, extra_absorption=None, doping_cm3=None, carrier: 'str' = 'n') -> 'np.ndarray'; from the registry, opsoptics.get("material_transmittance"))
• GPU: none (CPU reference implementation only)
Transmittance T(λ) of a plane-parallel plate of thickness thickness_mm as pairs (λ [nm], T).
T = (1 − R)² e^{−αt} / (1 − R² e^{−2αt}) (the incoherent formula summing multiple reflections from both surfaces, where R is |(m − 1)/(m + 1)|² at normal incidence and α = 4πk/λ). include_fresnel=False returns only the internal transmittance e^{−αt} (the same quantity as the ‘internal transmittance’ in glass catalogues). A thickness of 0 gives T=(1-R)/(1+R) with include_fresnel=True and 1 with False; a negative or non-finite thickness raises ValueError.
extra_absorption: pairs (λ [nm], α [1/cm]) that adds absorption absent from the material table. Example: pass silicon_free_carrier_absorption(1e19, "n", ...) directly for free-carrier absorption in doped Si. The pairs must cover every grid wavelength (no extrapolation), and negative α also raises ValueError. Surface reflection R continues to use the material table’s n,k (the small free-carrier change in n is ignored).
doping_cm3 / carrier: None (the default) uses the undoped material table unchanged. Supplying a value adds free-carrier absorption for carrier ("n" or "p") through silicon_free_carrier_absorption. Currently only SI is supported; another material raises ValueError naming the material. Negative or non-finite doping, or a carrier outside the choices, raises ValueError. Free-carrier absorption is added first and extra_absorption afterward; surface reflection uses the undoped material table’s n,k.
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_fiber_light_guide — py -3.11 examples/poc_fiber_light_guide.py
• poc_material_optical_library — py -3.11 examples/poc_material_optical_library.py
• poc_nir_silicon_transmission — py -3.11 examples/poc_nir_silicon_transmission.py
pairs as input)mtf50 · energy_to_photons · spectral_product · spectral_integral · spectral_integral_table · spectral_stats · kubelka_munk_reflectance · hyperspectral_capture
matprop)material_table · material_record · material_acoustic · acoustic_impedance_mismatch · material_optical_constants · material_dispersion · material_extinction · material_absorption
*Provenance: materials.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.