spectrometer_spectrum — OPTICS spectrometer op

• Data kinds: table × pairs → pairs

• Call: import fullseye as fs; fs.ledger.spectrometer_spectrum(design, spectrum, slit_width_um=25.0, pixel_um=14.0, input_na=0.1, max_order_multiple=3, higher_order_efficiency=0.3, longpass_nm=None, oversample=8, pupil='circular') (to call the implementation directly, import gratingspec; gratingspec.spectrometer_spectrum(design, spectrum, slit_width_um=25.0, pixel_um=14.0, input_na=0.1, max_order_multiple=3, higher_order_efficiency=0.3, longpass_nm=None, oversample=8, pupil='circular'); from the registry, opsoptics.get("spectrometer_spectrum"))

Usage

Input spectrum → detector pixel readings, with higher-order images overlapping the first order.

> The detailed description below is the original text — the summary and the headings are translated.

design: czerny_turner_design の表。spectrum: pairs(λ [nm] 昇順, 分光放射輝度 ≥ 0、nm あたり)。slit_width_um / pixel_um / input_na / pupil: spectrometer_bandpass と同じ(装置関数を決める)。max_order_multiple: 設計の次数 m の何倍までの次数を足すか(1 = 高次なし、3 なら m, 2m, 3m)。higher_order_efficiency: 高次の回折効率の 1 次に対する比(次数によらず一定の模型)。

longpass_nm: 入口のロングパスのフィルタの端(これより短い光を 0 にする。None = フィルタなし)。

oversample: 画素を何分割して像を置くか(畳み込みの精度)。

返り値: pairs(画素の中心の波長 [nm]、1 次の校正で、読み(nm あたりの放射輝度 × 帯域の幅の単位))。装置関数は中心波長のもの(スリットの像と回折の幅の波長による変化は入れない —— 帯域ごとの幅は spectrometer_bandpass が出す)。

Raises ValueError: 入力が粗すぎて装置関数の FWHM の 1/3 より細かく標本化されていない、昇順でない・負・非有限のスペクトル、設計の表でない、引数の範囲外。

Family-wide input contract (fail-closed)

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.

Detailed usage guide

• optics_imaging family guide

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

• poc_spectrometer_illumination — py -3.11 examples/poc_spectrometer_illumination.py

Ops the type connects to (they accept pairs as input)

mtf50 · energy_to_photons · spectral_product · spectral_integral · spectral_stats · kubelka_munk_reflectance · hyperspectral_capture · film_thickness_fft

Same category (spectrometer)

grating_dispersion · czerny_turner_design · spectrometer_bandpass · spectrometer_slit_image


*Provenance: gratingspec.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.