coherent op• Data kinds: image2d × image2d → image2d
• Call: import fullseye as fs; fs.ledger.coherent_image(amplitude, phase=None, cutoff=0.25, pupil=None, defocus_waves=0.0) (to call the implementation directly, import coherent; coherent.coherent_image(amplitude, phase=None, cutoff=0.25, pupil=None, defocus_waves=0.0); from the registry, opsoptics.get("coherent_image"))
Coherent image intensity of an amplitude/phase object through a pupil (image2d).
|F⁻¹{P · F{A · e^{iφ}}}|² with the circular pupil P = circ(ρ / cutoff) (cutoff = coherent cut-off NA·pitch/λ in cycles per pixel, in (0, 0.5]) or a user pupil (2-D, same shape, DC at the centre, i.e. np.fft.fftshift order; complex allowed). defocus_waves multiplies the circular pupil by exp(i 2π W20 (ρ/ρc)²). The object is periodic (the FFT wraps at the edges).
Ground truth (tests/test_coherent.py): a pure phase grating whose orders all pass leaves a flat image (intensity 1 to 1e-12); with only the 0th order passed the image is the constant J0(a)²; with 0 and ±1 it is J0² + 4 J1² sin² — the linear-in-amplitude signature that incoherent imaging does not have.
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_laser_line_speckle_floor — py -3.11 examples/poc_laser_line_speckle_floor.py
image2d as input)fraunhofer_pattern · pupil_psf · pupil_blur · psf_to_mtf · edge_spread · veiling_glare_index · emva_pair_statistics · emva_defect_pixels
coherent)speckle_field · speckle_statistics · laser_line_coherent · triangulation_speckle_limit · speckle_reduction
*Provenance: coherent.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.