csi_signal_simulate — INTERFEROMETRY simulate op

数据种类: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"))

用法

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).

详细使用指南

coherence_scanning 族使用指南

参考(示例数据・文献)

• 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

可运行的示例(实际调用该算子并已验证的样例)

coherence_scanningpy -3.11 examples/coherence_scanning.py

类型可衔接的下一个算子(可接受 sweep 作为输入)

csi_envelope · csi_peak_position · chromatic_confocal_height

同类别(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.