simulate op• 数据种类:无 → sweep(仅由参数决定的算子 —— 不接受图像或数据输入)
• 调用:import interferometry; interferometry.csi_signal_simulate(surface_um=6.0, z_start_um=0.0, z_step_um=0.05, n_planes=241, wavelength_um=0.6, envelope_fwhm_um=2.8, envelope_sigma_um=None, bias=0.5, amplitude=0.4, reflectivity=1.0, noise=0.0, seed=0)(或 opsinterferometry.get("csi_signal_simulate"))
合成已知表面高度处一个像素的 z 扫描干涉图。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
The coherence-scanning forward model, and the reason every other operator here
has an exact answer to be checked against::
I(z) = bias + amplitude*reflectivity * exp(-(z-z0)^2 / 2 sigma^2)
• cos(4*pi*(z-z0)/wavelength)
with `z0 = surface_um`. The 4 is the double pass — light goes down to the
surface and back, so one fringe is `wavelength/2` of *height*, not a whole
wavelength. Getting that factor wrong is a clean 2x in every height this
module produces, which is why it is written out here rather than hidden in a
constant.
surface_um: the true surface height `z0`, in the scan's own
coordinate. Need not land on a scan plane — the
sub-step case is the interesting one and the tests use
it deliberately.
z_start_um/z_step_um/n_planes: the scan grid,
`z_k = z_start_um + k*z_step_um`.
wavelength_um: mean wavelength of the source.
envelope_fwhm_um: the FWHM of the envelope along the scan axis. Give
this *or* `envelope_sigma_um`, never both. It is
half the source coherence length, because the
double pass makes OPD = 2z;
:func:csi_design returns both under separate names
for exactly that reason.
bias/amplitude: the intensity pedestal `a and fringe amplitude b`.
reflectivity: per-pixel scale on the fringe amplitude (>= 0). It
scales the envelope and therefore
:func:csi_contrast_map, and — this is the honest part
— it does not move the envelope peak, so it does not
bias :func:csi_peak_position. A *spatially varying*
reflectivity biases nothing either; what does bias the
centroid is where the peak sits in the window, and that
is documented on :func:csi_peak_position.
noise: additive Gaussian sigma (0 = the exact model).
seed: integer seed for that noise (no `None`).
Returns a 1-D float64 array of `n_planes` intensities.
Ground truth: with `noise=0` and the surface centred in the scan, the
`"gaussian" estimator of :func:csi_peak_position` returns *surface_um* to
1.43e-07 um over sub-step offsets, and to 2.9e-14 um when the envelope is
given analytically instead of through the Hilbert transform (both pinned in
the tests).
Raises `ValueError`: a non-real / non-finite / string / bool parameter,
a non-positive `z_step_um / wavelength_um` / envelope width, a negative
`bias / amplitude / reflectivity / noise, n_planes` outside
`[3, MAX_SCAN_POINTS], a z_step_um at or past the wavelength_um/4`
Nyquist ceiling, and a *surface_um* outside the scan range (which is the case
a real instrument reports as "no surface found", not as a height).
• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。
• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。
• 算法的正典(作者・年份)与用途见上面的族使用指南。
• coherence_scanning — py -3.11 examples/coherence_scanning.py
sweep 作为输入)csi_envelope · csi_peak_position · chromatic_confocal_height
simulate)csi_stack_simulate · chromatic_confocal_simulate
*Provenance: interferometry.py — INTERFEROMETRY 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.