emva_general_relative_qe — OPTICS sensorgeneral op

• Data kinds: signal × signal → table

• Call: import fullseye as fs; fs.ledger.emva_general_relative_qe(mu_p_ref, mu_y_ref, mu_y_dark, mu_y_scan, mu_p_scan, ref_index, n_intervals=8) (to call the implementation directly, import sensorgeneral; sensorgeneral.emva_general_relative_qe(mu_p_ref, mu_y_ref, mu_y_dark, mu_y_scan, mu_p_scan, ref_index, n_intervals=8); from the registry, opsoptics.get("emva_general_relative_qe"))

Usage

Quantum efficiency relative to the reference wavelength, η(λ)/η(λ_ref) (General section 9.4, Eqs. 73, 74).

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

基準波長で測った特性曲線の逆の関係 μ_p = R⁻¹(μ_y − μ_y.dark)を 3 次 B-スプラインで当て(式 73)、波長を振った測定の灰色値 μ_y(λ) を基準波長の光子数に換算する(線形化)。η(λ)/η(λ_ref) = [R⁻¹(μ_y(λ) − μ_y.dark)/μ_p(λ)] / [R⁻¹(μ_y(λ_ref) − μ_y.dark)/μ_p(λ_ref)]。★式 (74) は μ_p(λ)/μ_p(λ_ref) を掛けると印刷されている —— 線形の極限で Linear の式 (82) に戻らないので割る形を使う(モジュールの説明を参照)。印刷どおりの値は eq74_as_printed。

*mu_p_ref*, *mu_y_ref*: 基準波長の露光段と灰色値。*mu_y_scan*, *mu_p_scan*: 波長を振った測定の灰色値と光子数。*ref_index*: 走査の中で基準波長の位置。

返り値 {"eta_rel", "p_equivalent", "eq74_as_printed", "n_intervals"}。

Raises ValueError: 長さが違う / μ_p が正でない走査点 / ref_index が範囲外 / 走査の灰色値が基準の特性曲線の範囲の外(外挿しない)/ B-スプラインの拒否。

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_emva1288_in_camera_processing — py -3.11 examples/poc_emva1288_in_camera_processing.py

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

abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd

Same category (sensorgeneral)

emva_general_sensitivity · emva_general_nonuniformity


*Provenance: sensorgeneral.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.