{ "cells": [ { "cell_type": "markdown", "id": "4e77434c-298b-46bb-b708-857ea7dbfa9e", "metadata": {}, "source": [ "# Analysing data with non-gaussian resolution functions\n", "\n", "`refnx` can analyse data with non-gaussian resolution kernels. This typically occurs on instruments whose angular and wavelength resolutions are mismatched in width and one or both non-gaussian in nature. For example on a chopper time-of-flight reflectometer the wavelength resolution is typically rectangular in shape, and can be much broader than the trapezoidal angular resolution. When the two are convolved the overall Q-resolution ends up being trapezoidal as well.\n", "\n", "This situation often occurs on Platypus and Spatz, and will also be the case on the European Spallation Source reflectometers. For further details please see:\n", "\n", " A. Nelson and C. Dewhurst, Towards a detailed resolution smearing kernel for time-of-flight neutron reflectometers, J. Appl. Cryst. (2013) 46, 1338-1343\n", "\n", "The [refnx-models](https://github.com/refnx/refnx-models/) respository contains [code](https://github.com/refnx/refnx-models/blob/main/platypus-simulate/reflect_simulator.py) for the Monte Carlo simulation of reflectivity curves. One [notebook](https://github.com/refnx/refnx-models/blob/main/platypus-simulate/Platypus_simulator.ipynb) demonstrates how non-gaussian resolution kernels occur. Here we'll analyse a dataset simulated in a non-gaussian resolution context.\n", "\n", "The file in which it's saved is a non-standard format, which requires a specific way to load it. " ] }, { "cell_type": "code", "execution_count": 1, "id": "154b08bf-e9e6-48dc-9de8-38396c7e2561", "metadata": {}, "outputs": [], "source": [ "# first of all let's get the dataset\n", "import urllib.request # for retrieving URL\n", "import shutil\n", "\n", "url = \"https://github.com/refnx/refnx-models/raw/refs/heads/main/platypus-simulate/detailed_kernel.h5\"\n", "\n", "# download the refnx-test data repo as a zip, and write the zip file\n", "# to the current directory.\n", "with (\n", " urllib.request.urlopen(url, timeout=5) as response,\n", " open(\"detailed_kernel.h5\", \"wb\") as f,\n", "):\n", " shutil.copyfileobj(response, f)" ] }, { "cell_type": "markdown", "id": "c97db99f-a37a-47ea-8cf0-aa27c374921e", "metadata": {}, "source": [ "The non-standard way of loading this file into `refnx` follows." ] }, { "cell_type": "code", "execution_count": 4, "id": "6bf7844b-5e1c-458c-a64a-7ac6ce117516", "metadata": {}, "outputs": [], "source": [ "from refnx.dataset.data1d import _hdf_to_data1d\n", "data = _hdf_to_data1d(\"detailed_kernel.h5\")" ] }, { "cell_type": "markdown", "id": "570518f6-d1b1-4651-be65-d280d4caa496", "metadata": {}, "source": [ "The detailed resolution function is specified in the `x_err` attribute. Here are some properties of this dataset:" ] }, { "cell_type": "code", "execution_count": 10, "id": "d9422bb1-b4e7-489e-b15b-8476f538437a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "len(data)=171\n", "data.x_err.shape=(171, 2, 51)\n" ] } ], "source": [ "print(f\"{len(data)=}\")\n", "print(f\"{data.x_err.shape=}\")" ] }, { "cell_type": "markdown", "id": "aacf8d4f-765d-481b-ab6d-0608291ffaa9", "metadata": {}, "source": [ "This resolution kernel contained in `data.x_err` is a probability distribution function (PDF). `x_err` has the shape `(qvals.shape, 2, M)`. Here `qvals` is the number of points in the dataset, with there being `M` points in the kernel. `data.x_err[:, 0, :]` holds the q values for the kernel, `data.x_err[:, 1, :]` gives the corresponding probability.\n", "\n", "If you have a detailed resolution kernel that you wish to use the important feature is to get the shape of the `x_err` array correct. Here I'll demonstrate how to insert the `x_arr` array." ] }, { "cell_type": "code", "execution_count": 76, "id": "823b4ae5-066e-451b-96f7-04592e13af19", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from refnx.dataset import Data1D\n", "rng = np.random.default_rng(12909)\n", "\n", "# q, r, dr all have the same shape.\n", "# Here I'm using random numbers for the data. You obviously use real data.\n", "dummy_qvals = np.geomspace(0.01, 0.2, 171)\n", "dummy_rvals = rng.uniform(size=171)\n", "dummy_evals = rng.uniform(size=171)\n", "\n", "dummy_data = Data1D((dummy_qvals, dummy_rvals, dummy_evals))\n", "# 171 data points, with the PDF shape for each of those data points being (2, 51).\n", "# i.e.\n", "# x_err[2, 0, :] describes the q basis for the third datapoint (indexing starts from zero)\n", "# x_err[2, 1, :] describes the corresponding probability \n", "dummy_data.x_err = rng.uniform(size=(171, 2, 51))" ] }, { "cell_type": "markdown", "id": "1e50382b-dcb2-42a8-ab5c-12cec90b0bef", "metadata": {}, "source": [ "Returning to the simulated dataset, let's have a look at the PDF for one of the datapoints. The resolution kernel is clearly trapezoidal in nature." ] }, { "cell_type": "code", "execution_count": 11, "id": "9bde5e3b-74fa-4284-8541-e62ccc678a4c", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 69, "id": "b36d5073-3f1c-4b05-8682-134ae63a8815", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's look at the 50th point.\n", "plt.plot(data.x_err[50, 0], data.x_err[50, 1]);\n", "plt.ylabel(\"p(Q) / $\\\\AA$\")\n", "plt.xlabel(\"Q / $\\\\AA^{-1}$\");" ] }, { "cell_type": "markdown", "id": "b5a389b8-0b0b-409a-b1da-404db8c3b1bb", "metadata": {}, "source": [ "Now we'll go on to analyse this data in `refnx`, using the detailed kernel. We know the original parameters used to create the data, so we'll go straight to using those." ] }, { "cell_type": "code", "execution_count": 21, "id": "d1dc897c-e89c-4b1f-931e-3f06ee9258c1", "metadata": {}, "outputs": [], "source": [ "from refnx.analysis import Objective, CurveFitter\n", "from refnx.reflect import SLD, ReflectModel" ] }, { "cell_type": "code", "execution_count": 24, "id": "11c75bce-93b7-4d16-9648-0dcb3d42686b", "metadata": {}, "outputs": [], "source": [ "air = SLD(0)\n", "sio2 = SLD(3.47)\n", "si = SLD(2.07)\n", "\n", "s = air | sio2(225, 3) | si(0, 3)\n", "model = ReflectModel(s, bkg=5e-7)\n", "objective = Objective(model, data)" ] }, { "cell_type": "markdown", "id": "789bfbae-8742-409b-8041-7ebe016add03", "metadata": {}, "source": [ "By default the `ReflectModel` automatically uses the detailed resolution function in the analysis, as long as it's contained in `x_err` and `x_err` has the correct shape. Let's look at the residuals using the detailed resolution kernel, and compare that to the residuals calculated using a gaussian approximation." ] }, { "cell_type": "code", "execution_count": 47, "id": "165a23e8-24e5-4682-a7fb-d912f3d69a2a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Detailed kernel: objective.chisqr()/len(data) = np.float64(1.2638710247128122)\n", "Gaussian-equivalent kernel: objective.chisqr()/len(data) = np.float64(1.6251102135033868)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data.x, objective.residuals(), label=\"detailed kernel\")\n", "print(f\"Detailed kernel: {objective.chisqr()/len(data) = }\")\n", "\n", "# now for the residuals calculated by the gaussian-equivalent dataset.\n", "model.dq = 8.49\n", "model.dq_type = \"constant\"\n", "plt.plot(data.x, objective.residuals(), label=\"gaussian-equivalent kernel\")\n", "print(f\"Gaussian-equivalent kernel: {objective.chisqr()/len(data) = }\")\n", "\n", "# return to detailed kernel\n", "model.dq_type = \"pointwise\"\n", "\n", "plt.xscale(\"log\");\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 66, "id": "1f912f5c-49b9-42bf-a1a2-eb6d1fa6b096", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(data.x, data.y)\n", "plt.plot(data.x, objective.generative(), label=\"detailed kernel\")\n", "\n", "model.dq = 8.49\n", "model.dq_type = \"constant\"\n", "plt.plot(data.x, objective.generative(), label=\"gaussian-equivalent kernel\")\n", "\n", "# return to detailed kernel\n", "model.dq_type = \"pointwise\"\n", "\n", "# plt.xscale(\"log\");\n", "# plt.yscale(\"log\");\n", "plt.legend();\n", "plt.xlim(0.008, 0.013);\n", "plt.ylim(0.25, 1.1);" ] }, { "cell_type": "markdown", "id": "a9ee9ba1-2a46-4705-98bf-e38ab2dc739a", "metadata": {}, "source": [ "The detailed kernel does describe the data around the critical edge better, although not to an earth shattering extent. The paper given above shows various scenarios where the detailed resolution kernel becomes vital." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.0" } }, "nbformat": 4, "nbformat_minor": 5 }