{ "cells": [ { "metadata": { "collapsed": true }, "cell_type": "markdown", "source": [ "# One-dimensional Backwards Modeling\n", "Before reading this tutorial, familiarize yourself with the forward modeling tutorial, which describes the coordinate system as well as the forward modeling classes.\n", "\n", "In this tutorial, we discuss the 1D backwards problem: how to extract a 1D current distributions given only the SQUID signal? For this purpose, we work on a geometry that we understand well, by using the code of the forward modeling tutorial to generate a SQUID signal belonging to two edge currents." ], "id": "53aaf09af1f35c" }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:01:36.794363Z", "start_time": "2026-07-10T09:01:36.678201Z" } }, "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import sottools.forward as forward\n", "\n", "params = forward.Forward1DParameters(\n", " Lscan = 10.0, # Scan length in microns\n", " Wdevice = 5.0, # Device (strip) width\n", " Nscan = 256, # Number of points in the SQUID scan\n", " gamma = 0.0,\n", " rho1 = 0.2,\n", " rho2 = 0.4,\n", " height = 0.5,\n", " phi = np.deg2rad(63.0), # Standard TM-SOT sensor tilt angle\n", " invert_normal=True # Sets the sign of the SQUID response\n", ")\n", "\n", "fwd = forward.Forward1D(params)\n", "\n", "channelwidth = 0.2 # Width of the edge channels\n", "ydevice = params.ydevice.cpu().numpy() # Convert to NumPy from Torch\n", "yscan = params.yscan.cpu().numpy() # Convert to NumPy from Torch\n", "currents = np.zeros_like(ydevice)\n", "currents[(ydevice < -params.Wdevice/2 + channelwidth) | (ydevice > params.Wdevice/2 - channelwidth)] = 1.0\n", "\n", "signal = fwd.forward(currents)\n", "\n", "# For plotting esthetics, we embed currents in a zero-padded array of length Lscan\n", "currents_plotting = np.zeros_like(yscan)\n", "Nscan = len(yscan)\n", "Ndevice = len(ydevice)\n", "currents_plotting[Nscan//2-Ndevice//2:Nscan//2+Ndevice//2] = currents\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(4,3))\n", "ax_current = ax.twinx()\n", "ax_current.plot(yscan, currents_plotting, color='C1')\n", "ax.plot(yscan, signal, color='C0')\n", "ax.set_zorder(ax_current.get_zorder() + 1)\n", "ax.patch.set_visible(False)\n", "ax.set_xlabel('y (µm)')\n", "ax.set_ylabel('SQUID signal (µTµm²)', color='C0')\n", "ax_current.set_ylabel('Sheet current density (µA/µm)', color='C1')\n", "plt.show()" ], "id": "245772b433775cc9", "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 3 }, { "metadata": {}, "cell_type": "markdown", "source": [ "Now we have a SQUID signal that we can use to test the backwards modeling. In SOTtools, backwards modeling is geometry-aware. That is, we must provide a Forward1D object that represents the full forward calculation pipeline, both SQUID and sample, even if working on real experimental data. The obvious advantage of this is that results are much more likely to be physically meaningful, as the backwards modeling is constrained by the geometry of the problem.\n", "\n", "Just like forward problems are run by objects, inversion is also run by objects. The Backward1D class is initialized with a Forward1D object, and then can be used to perform the inversion of any SQUID signal." ], "id": "5c5b71190e77ceb9" }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:02:13.593867Z", "start_time": "2026-07-10T09:02:12.808273Z" } }, "cell_type": "code", "source": [ "import sottools.backward as backward\n", "\n", "inverter = backward.Inverter1D(fwd, signal)" ], "id": "9f427d4b25599b95", "outputs": [], "execution_count": 5 }, { "metadata": {}, "cell_type": "markdown", "source": "Inversion is now as simple as calling the fit() function and waiting for the loss to converge. To keep the inversion process visual, we use a JupyterCallback object to plot the fit result as the fit progresses.", "id": "9cfbcec702eb3c3b" }, { "metadata": {}, "cell_type": "code", "source": [ "cb = backward.JupyterCallback()\n", "ydevice_fitted, currents_fitted, _ = inverter.fit(\n", " lr = 1e-2, # Learning rate\n", " n_steps = 5000, # Number of steps\n", " callback = cb,\n", " callback_every = 500\n", ")" ], "id": "ee5e269a2371c2db", "execution_count": 11, "outputs": [] }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:06:19.885946Z", "start_time": "2026-07-10T09:06:19.833064Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(1,1,figsize=(4,3))\n", "ax.plot(ydevice, currents, color='C1', label='Ground truth')\n", "ax.plot(ydevice_fitted, currents_fitted, color='C0', label='Fitted')\n", "ax.set_xlabel('y (µm)')\n", "ax.set_ylabel('Sheet current density (µA/µm)')\n", "ax.legend()\n", "plt.show()" ], "id": "999f2fd1b3fd4219", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 13 }, { "metadata": {}, "cell_type": "markdown", "source": [ "The fit is reasonable but has a lot of ringing. Such ringing near the edges is typical for inversion problems, and it is one of the reasons SOTtools incorporates regularization. 1D inversion supports four regularizers:\n", "\n", "- lam1: 1st order TV regularization, promotes piecewise constant solutions\n", "- lam2: 2nd order TV regularization, promotes piecewise linear solutions\n", "- lam3: positivity regularization, promotes positive solutions\n", "- lam4: near-edge positivity regularization, suppresses ringing within n_edge grid points of the edges of the device\n", "\n", "Their weights lam1, lam2, lam3, lam4 can be passed on construction or modified later. In this case, we can fix the ringing using light TV-1 regularization." ], "id": "ca1d45dc83886de9" }, { "metadata": {}, "cell_type": "code", "source": [ "inverter.lam1 = 1e-5\n", "inverter.reset() # Reset the optimizer state\n", "ydevice_fitted, currents_fitted, _ = inverter.fit(\n", " lr = 1e-2, # Learning rate\n", " n_steps = 5000, # Number of steps\n", " callback = cb,\n", " callback_every = 500\n", ")" ], "id": "24cb965751f0b04e", "execution_count": 24, "outputs": [] }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:10:06.031787Z", "start_time": "2026-07-10T09:10:05.994339Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(1,1,figsize=(4,3))\n", "ax.plot(ydevice, currents, color='C1', label='Ground truth')\n", "ax.plot(ydevice_fitted, currents_fitted, color='C0', label='Fitted')\n", "ax.set_xlabel('y (µm)')\n", "ax.set_ylabel('Sheet current density (µA/µm)')\n", "ax.legend()\n", "plt.show()" ], "id": "15a6615fb4debcd7", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 25 }, { "metadata": {}, "cell_type": "markdown", "source": "To illustrate this ringing is prevalent near the edges, we show that for a simple current consisting of two overlapping Gaussians in the center, inversion without regularization is able to recover the current distribution almost perfectly.", "id": "eeca128b56f9ffbd" }, { "metadata": {}, "cell_type": "code", "source": [ "currents_two_gaussians = np.exp(-((ydevice+1.0)/0.5)**2) + np.exp(-((ydevice-1.0)/0.5)**2)\n", "signal_two_gaussians = fwd.forward(currents_two_gaussians)\n", "\n", "inverter_two_gaussians = backward.Inverter1D(fwd, signal_two_gaussians)\n", "ydevice_fitted_two_gaussians, currents_fitted_two_gaussians, _ = inverter_two_gaussians.fit(\n", " lr=1e-2, # Learning rate\n", " n_steps=5000, # Number of steps\n", " callback=cb,\n", " callback_every=500\n", ")\n" ], "id": "3aea2377b734cfba", "execution_count": 30, "outputs": [] }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:13:18.164620Z", "start_time": "2026-07-10T09:13:18.123611Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(1,1,figsize=(4,3))\n", "ax.plot(ydevice, currents_two_gaussians, color='C1', label='Ground truth')\n", "ax.plot(ydevice_fitted_two_gaussians, currents_fitted_two_gaussians, color='C0', label='Fitted')\n", "ax.set_xlabel('y (µm)')\n", "ax.set_ylabel('Sheet current density (µA/µm)')\n", "ax.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n", "plt.show()" ], "id": "1f5441e3fb9b6d05", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 32 }, { "metadata": {}, "cell_type": "markdown", "source": "However, regularization is critical in the presence of noise. Above a certain noise level, inversion will become completely impossible if regularization is not used. We illustrate this here, for four SNR levels.", "id": "3f833f8fb0fc4e2" }, { "metadata": {}, "cell_type": "code", "source": [ "SNR = [10000, 100, 30, 10]\n", "\n", "ground_truth = currents_fitted_two_gaussians\n", "signal = fwd.forward(ground_truth)\n", "noisy_signals = []\n", "rng = np.random.default_rng(seed=42) # For reproducibility\n", "\n", "for snr in SNR:\n", " noise = rng.normal(0, np.max(signal)/snr, size=signal.shape)\n", " noisy_signals.append(signal + noise)\n", "\n", "current_reconstructions_no_reg = []\n", "current_reconstructions_regularized = []\n", "\n", "for noisy_signal in noisy_signals:\n", " inverter_no_reg = backward.Inverter1D(fwd, noisy_signal)\n", " ydevice_fitted_no_reg, currents_fitted_no_reg, _ = inverter_no_reg.fit(\n", " lr=1e-2, # Learning rate\n", " n_steps=5000, # Number of steps\n", " callback=cb,\n", " callback_every=500\n", " )\n", " current_reconstructions_no_reg.append(currents_fitted_no_reg)\n", "\n", " inverter_regularized = backward.Inverter1D(fwd, noisy_signal)\n", " inverter_regularized.lam2 = 1e-3 # TV-2 is well-suited for reconstructing smooth distributions like Gaussians\n", " ydevice_fitted_reg, currents_fitted_reg, _ = inverter_regularized.fit(\n", " lr=1e-2, # Learning rate\n", " n_steps=5000, # Number of steps\n", " callback=cb,\n", " callback_every=500\n", " )\n", " current_reconstructions_regularized.append(currents_fitted_reg)" ], "id": "64981aa6ac458e63", "execution_count": 39, "outputs": [] }, { "metadata": { "ExecuteTime": { "end_time": "2026-07-10T09:18:59.610439Z", "start_time": "2026-07-10T09:18:59.389054Z" } }, "cell_type": "code", "source": [ "fig, axes = plt.subplots(2, 4, figsize=(12, 6), sharex=True)\n", "for i, snr in enumerate(SNR):\n", " axes[0, i].plot(ydevice, ground_truth, color='C1', label='Ground truth')\n", " axes[0, i].plot(ydevice, current_reconstructions_no_reg[i], color='C0', label='Fitted (no reg)')\n", " axes[1, i].plot(ydevice, ground_truth, color='C1', label='Ground truth')\n", " axes[1, i].plot(ydevice, current_reconstructions_regularized[i], color='C0', label='Fitted (reg)')\n", " axes[0, i].set_title(f'SNR = {snr}')\n", " axes[1, i].set_xlabel('y (µm)')\n", " axes[0, i].set_ylabel('Sheet current density (µA/µm)')\n", " axes[1, i].set_ylabel('Sheet current density (µA/µm)')\n", " axes[0, i].set_ylim(-2.1,2.1)\n", " axes[1, i].set_ylim(-0.4,1.2)\n", "\n", "axes[0, 0].legend()\n", "plt.tight_layout()\n", "plt.show()" ], "id": "9a06077b72b96a8b", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 38 }, { "metadata": {}, "cell_type": "code", "outputs": [], "execution_count": null, "source": "", "id": "a5fcd58619ecd0b6" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }