oct op• Data kinds: none → table (an op determined by its arguments alone — it takes no image or data input)
• Call: import fullseye as fs; fs.ledger.oct_design(center_nm=840.0, bandwidth_nm=50.0, n_pixels=2048, wl_min_nm=None, wl_max_nm=None, mode='sd', spectrometer_fwhm_px=1.0, linewidth_nm=None, n_group=1.0, beam_waist_um=None, focal_mm=None, beam_diameter_mm=None, photons_mirror_per_pixel=None, photons_ref_per_pixel=None, eta=0.8, sigma_d=10.0, window='hann', reflectivity=None, grid='lambda') (to call the implementation directly, import octscan; octscan.oct_design(center_nm=840.0, bandwidth_nm=50.0, n_pixels=2048, wl_min_nm=None, wl_max_nm=None, mode='sd', spectrometer_fwhm_px=1.0, linewidth_nm=None, n_group=1.0, beam_waist_um=None, focal_mm=None, beam_diameter_mm=None, photons_mirror_per_pixel=None, photons_ref_per_pixel=None, eta=0.8, sigma_d=10.0, window='hann', reflectivity=None, grid='lambda'); from the registry, opsoptics.get("oct_design"))
OCT performance in closed form before measuring (table): axial resolution, depth range, sensitivity roll-off, SNR, lateral resolution and depth of focus.
> The detailed description below is the original text — the summary and the headings are translated.
• 軸分解能(FWHM、ガウス光源、窓なし)δz = (2 ln 2/π) λ0²/Δλ ≈ 0.44 λ0²/Δλ(空気中)、媒質中は ÷ n_g。window を掛けると広がる(倍率 window_broadening は光源 × 窓の |FT| の FWHM から数値で求める。ガウス光源が範囲の中に収まっていれば hann で約 1.2 倍)。
• 深さ範囲(片道の光路、ナイキスト)z_max = π/(2 δk) = λ0²/(4 δλ)(δλ = 1 画素の波長幅)、媒質中は ÷ n_g。grid="lambda"(既定)は λ 等間隔の分光器(δk は中心の値)、"k" は k 等間隔の分光器(Hu & Rollins 2007)。
• roll-off(振幅): SD は画素の箱 |sin(z δk)/(z δk)| と分光器の分解能のガウス exp(−2σ²z²)(σ = 分解能の FWHM/2.355、k で)。SS は瞬時線幅 linewidth_nm のガウスだけ(mode="ss")。−6 dB の深さを数値で解く。
• SNR(ショット雑音 + 読み出し雑音、窓つき): 画素 i の参照光の電子 N_r,i と、反射率 1 の鏡の電子 N_s,i で SNR = (Σ w_i √(N_r,i N_s,i))² / Σ w_i² (N_r,i + σ_d²)(参照光が強ければ η × 試料の光子の総数 × 窓の係数)。sensitivity_db = 10 log10(SNR)(弱い反射体の SNR を反射率 1 へ外挿した値 = 検出の下限 1/R_min)。reflectivity R を渡すと、その反射体自身のショット雑音(N_s,i R)も分母に入れた SNR を snr_db に返す(強い反射体では参照光が支配的という前提が崩れ、外挿より小さくなる)。光子が渡されないときは None。
• 横分解能: ビームのくびれ半径 w0(1/e²)から、慣用の Δx = 2 w0 = (4λ/π)(f/d) と、A スキャンの振幅で見た点像の FWHM √(2 ln 2) w0(往復で exp(−2x²/w²))。焦点深度 b = 2 z_R = 2π w0² n/λ(慣用 = π Δx²/(2λ))。
返り値: dict(kind="oct_design", axial_resolution_air_um, axial_resolution_um, depth_range_air_um, depth_range_um, pixel_nm, dk_pixel, rolloff_6db_air_um, rolloff_6db_um, rolloff(pairs: 光路 µm, 振幅), snr_db / sensitivity_db, lateral_resolution_um, lateral_fwhm_um, depth_of_focus_um, …)。
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_industrial_oct — py -3.11 examples/poc_industrial_oct.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
oct)oct_dispersion_broadening · oct_interferogram · oct_bscan_simulate · oct_from_spectra · oct_k_linearize · oct_dispersion_estimate · oct_dispersion_compensate · oct_ascan
*Provenance: octscan.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.