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.silicon_free_carrier_absorption(doping_cm3: 'float' = 1e+17, carrier: 'str' = 'n', wl_min_nm: 'float' = 1000.0, wl_max_nm: 'float' = 2000.0, n_points: 'int' = 101) -> 'np.ndarray' (to call the implementation directly, import materials; materials.silicon_free_carrier_absorption(doping_cm3: 'float' = 1e+17, carrier: 'str' = 'n', wl_min_nm: 'float' = 1000.0, wl_max_nm: 'float' = 2000.0, n_points: 'int' = 101) -> 'np.ndarray'; from the registry, opsoptics.get("silicon_free_carrier_absorption"))
Free-carrier absorption α_fc(λ) [1/cm] of doped silicon as pairs (λ [nm], α).
> The detailed description below is the original text — the summary and the headings are translated.
α_fc = c·N·λ²(λ は µm、N はキャリア密度 [cm⁻³]、c = 1.0e-18 (n 型) / 2.7e-18 (p 型)、Schroder, Thomas & Swartz, IEEE Trans. Electron Devices 25, 254 (1978))。吸収端の下(λ > 1.1 µm)で基板を透過させるとき、高濃度基板(10¹⁹ cm⁻³)は 1.3 µm で ≈ 17 /cm —— 775 µm のウェハで e^{−1.3} まで暗くなる。carrier は "n" / "p"、N < 0 は ValueError。
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_material_optical_library — py -3.11 examples/poc_material_optical_library.py
pairs as input)mtf50 · energy_to_photons · spectral_product · spectral_integral · spectral_stats · kubelka_munk_reflectance · hyperspectral_capture · film_thickness_fft
matprop)material_table · material_record · material_optical_constants · material_dispersion · material_extinction · material_absorption · material_transmittance · material_reflectance
*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.