sensorchar op• Data kinds: image2d → table
• Call: import fullseye as fs; fs.ledger.emva_spectrogram(image, axis='horizontal', band=None) (to call the implementation directly, import sensorchar; sensorchar.emva_spectrogram(image, axis='horizontal', band=None); from the registry, opsoptics.get("emva_spectrogram"))
Horizontal and vertical spectrograms (section 8.6, Eqs. 70-72).
> The detailed description below is the original text — the summary and the headings are translated.
各行(axis="vertical" なら各列)から全体の平均を引き、ŷ[m][v] = (1/√N) Σ_n y[m][n] exp(−2πinv/N)(式 70)、P[v] = (1/M) Σ_m ŷ ŷ*(式 71)。白い雑音なら平らで、その高さが空間分散 s²(Parseval: P の全 v の平均 = 画像の分散)。*band* = (f_lo, f_hi) [cycles/pixel] を渡すと、その帯の周期模様の振幅 a = 2 ((1/N) Σ_{v=vmin}^{vmax} P[v])^{1/2} (式 72、片側の和)を返す。式 72 は帯の中の白い雑音の力も足す —— 照合用(規格の数ではない)に、P の中央値を白い床とみて帯の点の数 × 床を引いた amplitude_above_floor も返す。★8.6 節は高域フィルタ(8.1 節)をかけた DSNU 画像 ⟨y_dark⟩ と PRNU 画像 ⟨y_50⟩ − ⟨y_dark⟩ から求めると書く。
返り値 {"freq": v/N (v = 0..N/2), "power": P[v], "sqrt_power", "mean_power", "variance", "white_floor", "amplitude", "amplitude_above_floor", "band", "axis"} (mean_power は全 v の P の平均、variance は平均を引いた画像の分散 —— 両者は等しい)。
Raises ValueError: 2-D の実数でない / NaN・inf / axis が違う / 変換する軸が 4 未満 / band が [0, 0.5] の中の lo ≤ hi でない / 帯に周波数の点が無い。
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_emva1288_sensor — py -3.11 examples/poc_emva1288_sensor.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
sensorchar)emva_pair_statistics · emva_photon_transfer · emva_quantum_efficiency · emva_linearity_error · emva_snr_curve · emva_sensitivity_threshold · emva_dynamic_range · emva_dark_current
*Provenance: sensorchar.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.