diff --git a/discretisedfield/field.py b/discretisedfield/field.py index 598356a51..03caf993f 100644 --- a/discretisedfield/field.py +++ b/discretisedfield/field.py @@ -3436,6 +3436,7 @@ def fftn(self, **kwargs): """ mesh = self.mesh.fftn() + # Use scipy as faster than numpy axes = range(self.mesh.region.ndim) ft = spfft.fftshift( spfft.fftn(self.array, axes=axes, **kwargs), @@ -3520,7 +3521,7 @@ def rfftn(self, **kwargs): axes = range(self.mesh.region.ndim) ft = spfft.fftshift( spfft.rfftn(self.array, axes=axes, **kwargs), - axes=axes, + axes=axes[:-1], ) return self._fftn(mesh=mesh, array=ft, ifftn=False) @@ -3566,7 +3567,7 @@ def irfftn(self, shape=None, **kwargs): axes = range(self.mesh.region.ndim) ft = spfft.irfftn( - spfft.ifftshift(self.array, axes=axes), + spfft.ifftshift(self.array, axes=axes[:-1]), axes=axes, s=shape, **kwargs, diff --git a/discretisedfield/mesh.py b/discretisedfield/mesh.py index 2ef0ae7c1..c87af190d 100644 --- a/discretisedfield/mesh.py +++ b/discretisedfield/mesh.py @@ -2131,6 +2131,7 @@ def fftn(self, rfft=False): freqs = spfft.fftfreq(self.n[i], self.cell[i]) # Shift the region boundaries to get the correct coordinates of # mesh cells. + # This effectively does the same as using fftshift dfreq = (freqs[1] - freqs[0]) / 2 p1.append(min(freqs) - dfreq) p2.append(max(freqs) + dfreq) diff --git a/discretisedfield/tests/test_field.py b/discretisedfield/tests/test_field.py index dd7bb49c4..6f2555f11 100644 --- a/discretisedfield/tests/test_field.py +++ b/discretisedfield/tests/test_field.py @@ -10,6 +10,7 @@ import matplotlib.pyplot as plt import numpy as np import pytest +import scipy.fft as spfft import xarray as xr import discretisedfield as df @@ -2661,17 +2662,11 @@ def _init_random(p): f = df.Field(mesh, nvdim=3, value=_init_random, norm=1) # 3d fft - assert f.allclose(f.fftn().ifftn().real) - assert df.Field(mesh, nvdim=3).allclose(f.fftn().ifftn().imag) - assert f.allclose(f.rfftn().irfftn()) # 2d fft for i in ["x", "y", "z"]: plane = f.sel(i) - assert plane.allclose(plane.fftn().ifftn().real) - assert df.Field(mesh, nvdim=3).sel(i).allclose(plane.fftn().ifftn().imag) - assert plane.allclose(plane.rfftn().irfftn()) # Fourier slice theoreme @@ -2704,11 +2699,26 @@ def _init_random(p): f = df.Field(mesh, nvdim=1, value=np.random.rand(*mesh.n, 1), norm=1) - assert f.allclose(f.fftn().ifftn().real) - assert df.Field(mesh, nvdim=1).allclose(f.fftn().ifftn().imag) + assert f.allclose(f.rfftn().irfftn(shape=f.mesh.n)) + # test 1d rfft assert f.allclose(f.rfftn().irfftn(shape=f.mesh.n)) + # test rfft no shift last dim + a = np.zeros((5, 5)) + a[2, 3] = 1 + + p1 = (0, 0) + p2 = (10, 10) + cell = (2.0, 2.0) + mesh = df.Mesh(p1=p1, p2=p2, cell=cell) + f = df.Field(mesh, nvdim=1, value=a) + + field_ft = f.rfftn() + ft = spfft.fftshift(spfft.rfftn(a), axes=[0]) + + assert np.array_equal(field_ft.array[..., 0], ft) + def test_mpl_scalar(test_field): # No axes diff --git a/docs/field-fft.ipynb b/docs/field-fft.ipynb new file mode 100644 index 000000000..1b42d8e0b --- /dev/null +++ b/docs/field-fft.ipynb @@ -0,0 +1,2871 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cd1d4634-f184-4b7e-bca9-8b5145349a08", + "metadata": {}, + "source": [ + "# FFT Tutorial with `discretisedfield`\n", + "\n", + "This Jupyter notebook is a tutorial guide for using the Fast Fourier Transform (FFT) functionality in `discretisedfield`. FFT is a highly efficient algorithm used to decompose a dataset into its base frequencies. In `discretisedfield`, our primary focus is on spatial transformations.\n", + "\n", + "In this tutorial we explain the different methods to perform a FFT on a field by looking at a few examples. We will start with a simple scalar field in a region with two spatial dimensions and move on to give a more complex example of a vector field in three spatial dimensions.\n", + "\n", + "## Setup field\n", + "\n", + "To get started, let's import the `discretisedfield` package." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a116630b-3636-45a9-a06a-59e3e1c937e8", + "metadata": {}, + "outputs": [], + "source": [ + "import discretisedfield as df" + ] + }, + { + "cell_type": "markdown", + "id": "5c652ca9-be64-4cef-8a73-0fa617a668ec", + "metadata": {}, + "source": [ + "As an example we study a rectangular geometry with a sinusoidal wave propagating along the `y` direction with a $9\\, \\mathrm{m}$ wavelength. (For this first example, we use a region and wavelength on the metre scale to avoid large negative/positive multipliers in real/Fourier space)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "34a71f45-9f87-4b00-a77a-d056a4f896d5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[0, 0], pmax=[20, 45], dims=['x', 'y'], units=['m', 'm']), n=[20, 45]), nvdim=1)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "mesh = df.Mesh(p1=(0, 0), p2=(20, 45), cell=(1, 1))\n", + "\n", + "\n", + "def value(p):\n", + " _, y = p # Ignoring the x-coordinate\n", + " k = 1 / 9 # 1/m\n", + " return np.sin(2 * np.pi * k * y)\n", + "\n", + "\n", + "field = df.Field(mesh, nvdim=1, value=value)\n", + "field" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "3fe4a875", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "field.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "8d2f8678", + "metadata": {}, + "source": [ + "## FFT Methods\n", + "\n", + "The `discretisedfield` package provides four different methods for performing Fast Fourier Transform (FFT) operations on a `discretisedfield.Field` object:\n", + "\n", + "1. `fftn`: This is the \"full\" FFT method which computes the n-dimensional FFT. It returns the complex-valued FFT result that has the same shape as the input field. It is used when the full frequency spectrum is needed.\n", + "\n", + "3. `ifftn`: This is the inverse of the \"full\" FFT method, which takes a complex-valued FFT result and computes the inverse FFT to return a field in the spatial domain. It is used to go back from the spatial frequency domain to the spatial domain.\n", + "\n", + "3. `rfftn`: This stands for \"real FFT\". It is similar to `fftn`, but it only computes the non-negative frequency terms along the last dimension. The result is a complex-valued array that has the same shape as the input array but half the size of the last dimension compared to the input. It is used when the input field only has real values, and hence its frequency spectrum is symmetric. Thus, it saves computation time and storage.\n", + "\n", + "4. `irfftn`: This is the inverse of the \"real FFT\" method. It takes a half-sized complex-valued FFT result (as output by `rfftn`) and computes the inverse FFT to return a real-valued field in the spatial domain. It is used when the original field is known to be real-valued.\n", + "\n", + "All of these methods are `n` dimensional and work with any number of value (vector) and mesh (geometric) dimensions. These four methods provide the necessary tools to perform FFT operations and allow the transition between the spatial domain and frequency domain, covering both real and complex-valued fields.\n", + "\n", + "We use `scipy.fft` for the calculations. Please refer to the [SciPy documentation](https://docs.scipy.org/doc/scipy/reference/fft.html) for further details.\n", + "\n", + "### FFT\n", + "Now we can perform out first FFT." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "0cb59c0b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-0.525, -0.5], pmax=[0.47500000000000003, 0.5], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 45]), nvdim=1)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fft_field = field.fftn()\n", + "fft_field" + ] + }, + { + "cell_type": "markdown", + "id": "46494862", + "metadata": {}, + "source": [ + "With the application of the FFT methods in `discretisedfield`, notable transformations occur in both the `mesh` and the `field`:\n", + "\n", + "1. **Mesh Transformation**: The `mesh` is transposed from the regular space to the spatial frequency domain. As a consequence, the units transition from meters (m) to inverse meters $\\left(\\mathrm{m}^{-1}\\right)$. Furthermore, to signify this transformation, `k_` is prepended to each of the `dims` of the mesh. However, the Fourier transformed `mesh` maintains the same number of points (`n`) as the original mesh.\n", + "\n", + " NOTE: The values of the axis in Fourier space are frequency NOT angular frequency so DO NOT include a factor of $2\\pi$, i.e. $|{\\bf k}| = \\frac{1}{\\lambda} \\neq \\frac{2 \\pi}{\\lambda}$, where $\\bf k$ is the wave vector and $\\lambda$ is the wavelength.\n", + "\n", + "2. **Field Transformation**: The field, although it continues to possess three value dimensions, undergoes a transformation, highlighted by the prefix `ft_` added to each dimension. This indicates that these dimensions have been processed through a Fourier Transform.\n", + "\n", + "These changes not only assist in distinguishing the transformed quantities but also serve a practical purpose by providing the values in appropriate units and dimensions.\n", + "\n", + "To visualise this Fourier transform we can plot the Power Spectral Density given by:\n", + "\n", + "$$ PSD(k) = | F(k) |^2 $$\n", + "\n", + "where:\n", + "\n", + "- $PSD(k)$ represents the power spectral density at spatial frequency $k$.\n", + "- $F(k)$ represents the Fourier transform of the original signal at spatial frequency $k$.\n", + "- $|$ $|$ denotes the absolute value.\n", + "\n", + "In essence, the PSD is the magnitude squared of the Fourier transform of the original signal, providing a measure of the power (or intensity) of the signal across the different spatial frequencies." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "918b20b3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd = np.power(np.abs(fft_field), 2)\n", + "\n", + "psd.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "52e97a5a", + "metadata": {}, + "source": [ + "In this plot, we observe prominent peaks at $k_y = \\pm \\frac{1}{9}\\,\\mathrm{m}^{-1}= \\pm 0.11\\,\\mathrm{m}^{-1}$ aligning with our expectations for a sinusoidal modulation with a wavelength of $7\\,\\mathrm{m}$ and confirms the presence of the anticipated spatial frequency in our data.\n", + "\n", + "### iFFT\n", + "\n", + "Now we have a Fourier transformed field we can transform it back into real space by using an ifft." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "60e19e66", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-10.0, -22.5], pmax=[10.0, 22.5], dims=['x', 'y'], units=['m', 'm']), n=[20, 45]), nvdim=1)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ifft_field = fft_field.ifftn()\n", + "ifft_field" + ] + }, + { + "cell_type": "markdown", + "id": "d767eb52", + "metadata": {}, + "source": [ + "Upon transforming our field back into the regular space, we observe several changes. Firstly, our units return to the meter (m) notation. Secondly, both the dimensions and the value dimensions revert to their original identifiers, removing the `k_` and `ft_` prefixes, respectively. This reflects the transition from the frequency to the spatial domain. As expected, the total number of data points within the field remains constant.\n", + "\n", + "However, one key aspect of Fourier transforms to be aware of is the loss of the original translation during the transformation process. Consequently, the Fourier transformed field or signal is inherently centred around the origin.\n", + "\n", + "This characteristic is due to the Fourier transform operating in the frequency domain, which identifies the frequencies present in the signal but disregards the location or shift of those frequencies in the original signal. Hence, after the Fourier transform, the information about the original position of the frequencies in the spatial domain is lost and the resulting transformed signal is always centred around the origin.\n", + "\n", + "However, we can `translate` the mesh in order to move the field back to the desired position `inplace`. In the `translate` function we provide a `vector` by which we want to translate our region. Due to the application of the Fourier transforms, the mesh of the new field is centred around the origin. In order to align the new mesh with the original mesh we can provide the center of the original mesh as the `vector`." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f03d1d98", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Mesh\n", + "" + ], + "text/plain": [ + "Mesh(Region(pmin=[0.0, 0.0], pmax=[20.0, 45.0], dims=['x', 'y'], units=['m', 'm']), n=[20, 45])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ifft_field.mesh.translate(field.mesh.region.centre, inplace=True)" + ] + }, + { + "cell_type": "markdown", + "id": "93900090", + "metadata": {}, + "source": [ + "As a check we can see if our original field is the same as the field which has been Fourier transformed and then inverse Fourier transformed. By using the `allclose` method in the `Field` class we can see that the two field are almost the same." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f791993e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "field.allclose(ifft_field)" + ] + }, + { + "cell_type": "markdown", + "id": "9340b200", + "metadata": {}, + "source": [ + "While our field has been transformed back into its original space, using the `==` operator reveals that the initial and final states are not identical." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "de0a5492", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "field == ifft_field" + ] + }, + { + "cell_type": "markdown", + "id": "2f867782", + "metadata": {}, + "source": [ + "This discrepancy stems primarily from two factors:\n", + "\n", + "1. **Floating-Point Precision**: Arithmetic operations on floating-point numbers can lead to small imprecisions.\n", + "\n", + "2. **Complex Values**: Initially, our field comprised real values. However, the processing via FFT and inverse FFT results in a field with complex values. \n", + "\n", + "These factors contribute to the subtle differences when comparing the original and transformed fields directly and shows how the `allclose` method can offer a more suitable comparison.\n", + "\n", + "We can visualise these differences by plotting the real and imaginary parts." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "359cfddd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ifft_field.imag.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "72133a4a", + "metadata": {}, + "source": [ + "As we can see, the real part of the inverse Fourier transformed field is visually identical to the original field, while the imaginary part is practically zero." + ] + }, + { + "cell_type": "markdown", + "id": "99c30539", + "metadata": {}, + "source": [ + "### rFFT\n", + "\n", + "As the original field we are using is real we can use a `rfft`. " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "db91a5df", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "
    \n", + " \n", + "
  • Mesh\n", + "
      \n", + "
    • Region\n", + "
        \n", + "
      • pmin = [-0.525, -0.011111111111111112]
      • \n", + "
      • pmax = [0.47500000000000003, 0.5]
      • \n", + "
      • dims = ['k_x', 'k_y']
      • \n", + "
      • units = ['(m)$^{-1}$', '(m)$^{-1}$']
      • \n", + "
    • \n", + "
    • n = [20, 23]
    • \n", + "
  • \n", + "
  • nvdim = 1
  • \n", + "
" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-0.525, -0.011111111111111112], pmax=[0.47500000000000003, 0.5], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 23]), nvdim=1)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rfft_field = field.rfftn()\n", + "rfft_field" + ] + }, + { + "cell_type": "markdown", + "id": "ea85818e", + "metadata": {}, + "source": [ + "Lets also plot the PSD" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "7cab5299", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd = np.power(np.abs(rfft_field), 2)\n", + "\n", + "psd.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "3b4bd018", + "metadata": {}, + "source": [ + "We can see that the mesh and the plot look different for real Fourier transforms compared to full Fourier transforms. For full Fourier transforms, the `mesh` is converted from the standard spatial domain to the spatial frequency domain but for real Fourier transforms there are some key differences. As before, each dimension of the mesh (`dims`) is prepended with `k_` to signify this change. However, the Fourier transformed `mesh` no longer has the the same number of points (`n`) as the original mesh in all directions. In the final dimension, the number of points is reduced by half (If n is even, the length of the transformed axis is $(n/2)+1$. If n is odd, the length is $(n+1)/2$).\n", + "\n", + "This halving is a result of the properties of real-valued functions, which have a Hermitian-symmetric Fourier transform. As a result, it is sufficient to store only half of the frequency components (those for non-negative frequencies).\n", + "\n", + "### irFFT\n", + "As we have an rFFT field we can convert this back to the spatial domain by using an irFFT." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "451d222f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "
    \n", + " \n", + "
  • Mesh\n", + "
      \n", + "
    • Region\n", + "
        \n", + "
      • pmin = [-10.0, -22.500000000000004]
      • \n", + "
      • pmax = [10.0, 22.500000000000004]
      • \n", + "
      • dims = ['x', 'y']
      • \n", + "
      • units = ['m', 'm']
      • \n", + "
    • \n", + "
    • n = [20, 44]
    • \n", + "
  • \n", + "
  • nvdim = 1
  • \n", + "
" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-10.0, -22.500000000000004], pmax=[10.0, 22.500000000000004], dims=['x', 'y'], units=['m', 'm']), n=[20, 44]), nvdim=1)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "irfft_field = rfft_field.irfftn()\n", + "irfft_field" + ] + }, + { + "cell_type": "markdown", + "id": "8b24ace5", + "metadata": {}, + "source": [ + "As anticipated, the inverse transform function works effectively, yet the total number of points in the final geometric dimension of the mesh is one less than the original. This discrepancy arises due to the characteristics of grids with an odd number of cells. \n", + "\n", + "To reconcile this, we can explicitly specify the desired shape of the output while calling the `irfftn` function as this information is not stored in the Fourier transformed field. This way, we ensure that the final transformed field aligns with the original field in terms of its dimensionality." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "1d0133ce", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "
    \n", + " \n", + "
  • Mesh\n", + "
      \n", + "
    • Region\n", + "
        \n", + "
      • pmin = [0.0, -3.552713678800501e-15]
      • \n", + "
      • pmax = [20.0, 45.0]
      • \n", + "
      • dims = ['x', 'y']
      • \n", + "
      • units = ['m', 'm']
      • \n", + "
    • \n", + "
    • n = [20, 45]
    • \n", + "
  • \n", + "
  • nvdim = 1
  • \n", + "
" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[0.0, -3.552713678800501e-15], pmax=[20.0, 45.0], dims=['x', 'y'], units=['m', 'm']), n=[20, 45]), nvdim=1)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "irfft_field = rfft_field.irfftn(shape=field.mesh.n)\n", + "irfft_field.mesh.translate(field.mesh.region.centre, inplace=True)\n", + "irfft_field" + ] + }, + { + "cell_type": "markdown", + "id": "e0a41592", + "metadata": {}, + "source": [ + "Now we can use the `allclose` function to see that this is a good comparison to our original field." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "c16d3965", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "field.allclose(irfft_field)" + ] + }, + { + "cell_type": "markdown", + "id": "d2e004e2", + "metadata": {}, + "source": [ + "## Angular frequency" + ] + }, + { + "cell_type": "markdown", + "id": "81e9ad99", + "metadata": {}, + "source": [ + "As we noted earlier, the values of the axis in Fourier space are frequency NOT angular frequency so DO NOT include a factor of $2\\pi$, i.e. $|{\\bf k}| = \\frac{1}{\\lambda} \\neq \\frac{2 \\pi}{\\lambda}$, where $\\bf k$ is the wave vector and $\\lambda$ is the wavelength. However, we can convert the mesh into angular frequency.\n", + "\n", + "First we will perform a new Fourier transform and plot the PSD." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "f752c515", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Field\n", + "
    \n", + " \n", + "
  • Mesh\n", + "
      \n", + "
    • Region\n", + "
        \n", + "
      • pmin = [-0.525, -0.5]
      • \n", + "
      • pmax = [0.47500000000000003, 0.5]
      • \n", + "
      • dims = ['k_x', 'k_y']
      • \n", + "
      • units = ['(m)$^{-1}$', '(m)$^{-1}$']
      • \n", + "
    • \n", + "
    • n = [20, 45]
    • \n", + "
  • \n", + "
  • nvdim = 1
  • \n", + "
" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-0.525, -0.5], pmax=[0.47500000000000003, 0.5], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 45]), nvdim=1)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fft_field_freq = field.fftn()\n", + "fft_field_freq" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "dc1b3191", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd = np.power(np.abs(fft_field_freq), 2)\n", + "\n", + "psd.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "52876680", + "metadata": {}, + "source": [ + "The easiest method to convert to angular frequency is by modifying the existing field directly inplace. To achieve this, we can scale the mesh by a factor of $2\\pi$." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "d3513828", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "Mesh\n", + "
    \n", + "
  • Region\n", + "
      \n", + "
    • pmin = [-3.166592653589793, -3.141592653589793]
    • \n", + "
    • pmax = [3.116592653589793, 3.141592653589793]
    • \n", + "
    • dims = ['k_x', 'k_y']
    • \n", + "
    • units = ['(m)$^{-1}$', '(m)$^{-1}$']
    • \n", + "
  • \n", + "
  • n = [20, 45]
  • \n", + "
" + ], + "text/plain": [ + "Mesh(Region(pmin=[-3.166592653589793, -3.141592653589793], pmax=[3.116592653589793, 3.141592653589793], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 45])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fft_field_freq.mesh.scale(2 * np.pi, inplace=True)" + ] + }, + { + "cell_type": "markdown", + "id": "d751db23", + "metadata": {}, + "source": [ + "Plotting the PSD of the field again, we can see that the axes labels have expanded by a factor of $2\\pi$. " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "6d6389a0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd = np.power(np.abs(fft_field_freq), 2)\n", + "\n", + "psd.mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "b080df43", + "metadata": {}, + "source": [ + "## Visualising and analysing FFTs\n", + "\n", + "To demonstrate the power of FFTs and provide some visualisation techniques for their outputs, we have prepared the following example.\n", + "\n", + "We have initialised the field with a complicated three dimensional vector field on a mesh with three spatial dimensions.\n", + "This example is intricate in order to showcase some of the functionality so don't worry if you don't understand all of the details.\n", + "\n", + "We have created a vector field made up of three distinct waves (and additional noise):\n", + "1. A helix propagating in the $y$ direction with a wavelength of $7\\, \\mathrm{nm}$. The vector components point in the $xz$ plane.\n", + "2. A density wave propagating in the $xyz$ direction with a wavelength of $5\\, \\mathrm{nm}$. The vector components point in the $z$ direction.\n", + "3. A density wave propagating in the $xy$ direction with a wavelength of $10\\, \\mathrm{nm}$. The vector components point in the $z$ direction." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "5247e22b", + "metadata": {}, + "outputs": [], + "source": [ + "mesh = df.Mesh(p1=(0, 0, 0), p2=(30e-9, 30e-9, 30e-9), cell=(0.5e-9, 0.5e-9, 0.5e-9))\n", + "\n", + "\n", + "def value(p):\n", + " x, y, z = p\n", + " # First wave\n", + " k1 = 1 / 7e-9\n", + " v = np.array([np.sin(2 * np.pi * k1 * y), 0, np.cos(2 * np.pi * k1 * y)])\n", + " # Second wave\n", + " k2 = 1 / 5e-9\n", + " v += 2 * np.array([0, 0, np.cos(2 * np.pi * k2 * (x + y + z) / np.sqrt(3))])\n", + " # Third wave\n", + " k3 = 1 / 10e-9\n", + " v += np.array([0, 0, np.cos(2 * np.pi * k3 * (x + y) / np.sqrt(2))])\n", + " # Random noise\n", + " v += np.random.normal(0, 0.1, 3)\n", + " return v\n", + "\n", + "\n", + "field = df.Field(mesh, nvdim=3, value=value)" + ] + }, + { + "cell_type": "markdown", + "id": "bb37f550", + "metadata": {}, + "source": [ + "As expected due to the complexity, visualising this vector field can be challenging. While `mpl` can be used to depict the magnetic structure, it struggles to capture the entire picture due to variations in the vector field across all dimensions." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "245f5edb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "field.sel(\"z\").mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "478cfb17", + "metadata": {}, + "source": [ + "In this circumstance we can use `hv` to examine the magnetic texture in more detail." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "7bd242d2", + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.1.1'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var is_dev = py_version.indexOf(\"+\") !== -1 || py_version.indexOf(\"-\") !== -1;\n var reloading = false;\n var Bokeh = root.Bokeh;\n var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n root._bokeh_timeout = Date.now() + 5000;\n 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      • dims = ['k_x', 'k_y', 'k_z']
      • \n", + "
      • units = ['(m)$^{-1}$', '(m)$^{-1}$', '(m)$^{-1}$']
      • \n", + "
    • \n", + "
    • n = [60, 60, 60]
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  • \n", + "
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    • \n", + "
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    \n", + " \n", + "
  • Mesh\n", + "
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  • \n", + "
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" + ], + "text/plain": [ + "Field(Mesh(Region(pmin=[-1016666666.6666667, -1016666666.6666667, -1016666666.6666667], pmax=[983333333.3333334, 983333333.3333334, 983333333.3333334], dims=['k_x', 'k_y', 'k_z'], units=['(m)$^{-1}$', '(m)$^{-1}$', '(m)$^{-1}$']), n=[60, 60, 60]), nvdim=3, vdims: (ft_x, ft_y, ft_z))" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "psd = np.power(np.abs(fft_field), 2)\n", + "psd" + ] + }, + { + "cell_type": "markdown", + "id": "5f36dc74", + "metadata": {}, + "source": [ + "We can use `mpl` to plot two dimensional cross-sections of the PSD in a similar way to the previous example. Given that two of our propagation vectors reside in the $xy$ plane, we will select a cut at $k_z=0$ to visualise the $k_x k_y$ plane.\n", + "For analysis, it is often more straightforward to plot and examine one component at a time.\n", + "\n", + "The plot of the `ft_x` component only shows peaks due to the helix (first wave) as it is the only wave with a vector component in the $x$ direction." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "8dd88302", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd.ft_x.sel(\"k_z\").mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "6b6c2a8e", + "metadata": {}, + "source": [ + "There are not waves with vector components in the $y$ direction, hence all we see is noise." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "42495883", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd.ft_y.sel(\"k_z\").mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "fb24942e", + "metadata": {}, + "source": [ + "All three waves have vector components in the $z$ direction. However, only the helix (first wave) and one of the density waves (third wave) have their propagation vectors lying in the $xy$ plane (i.e. $k_z=0$). Hence we see four peaks corresponding to these two waves." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "a12ed512", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd.ft_z.sel(\"k_z\").mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "7d8d4ec0", + "metadata": {}, + "source": [ + "But what about the other density wave (second wave) propagating in the $xyz$ direction?\n", + "\n", + "We cannot access a $xyz$ plane in `discretisedfield` without rotations as the mesh is based on a discretised cartesian grid. However, we can plot the $k_x k_y$ plane at a non-zero $k_z$ value to see one of the peaks." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "53dce7fd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "psd.ft_z.sel(k_z=1.15e8).mpl()" + ] + }, + { + "cell_type": "markdown", + "id": "93474071", + "metadata": {}, + "source": [ + "We can now clearly see the peak related to the density wave propagating in the $xyz$ $(111)$ direction.\n", + "\n", + "An easier way to visualise this data is again using the `hv` plotting functionality. This allows us to select the component of the field we want to look at while using a slider to move through the other dimensions.\n", + "\n", + "Take a while to play with the plot. Make sure to look at all of the components at the center plane $(k_z=0\\,\\mathrm{m}^{-1})$ and also where we expect to see out other propagation vector $\\left(k_z=\\pm \\frac{1}{5\\times 10 ^{-9}\\sqrt{3}}\\,\\mathrm{m}^{-1} =\\pm 1.15\\times 10 ^{8}\\,\\mathrm{m}^{-1}\\right)$. Further information of plotting using `hv` can be found in the Documentation and API reference." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "189c73f2", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "cee00de0c9374dcb8e78a4fb639a2e6a", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "BokehModel(combine_events=True, render_bundle={'docs_json': {'7beb180b-2c82-4675-9d12-7fa263cc58ed': {'version…" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "psd.hv.scalar(kdims=[\"k_x\", \"k_y\"], clim=(0, psd.array.max()))" + ] + }, + { + "cell_type": "markdown", + "id": "9ba2d146", + "metadata": {}, + "source": [ + "Rather than plotting a plane we can use the `line` functionality in `discretisedfield` to examine the values along a one dimensional line in any arbitrary direction. Here we will create a diagonal line from the bottom left corner of our mesh $\\left(p_\\mathrm{min}\\right)$ to the top right corner of our mesh $\\left(p_\\mathrm{max}\\right)$. For further information on the line method please see the documentation and API reference." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "840cfec0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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42.348543e+08-8.810734e+08-8.810734e+08-8.810734e+084.084317e+03288.0382322.839528e+03
52.935679e+08-8.471751e+08-8.471751e+08-8.471751e+086.124399e+01595.4003694.016604e+03
63.522815e+08-8.132768e+08-8.132768e+08-8.132768e+085.950852e+021372.5604731.260118e+03
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116.458495e+08-6.437853e+08-6.437853e+08-6.437853e+089.241279e+023304.5318481.852090e+03
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261.526553e+09-1.353107e+08-1.353107e+08-1.353107e+086.096677e+03909.6451241.979359e+09
271.585267e+09-1.014124e+08-1.014124e+08-1.014124e+081.242090e+031805.5809474.674039e+09
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311.820121e+093.418079e+073.418079e+073.418079e+077.165205e+02687.2040271.689633e+05
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331.937548e+091.019774e+081.019774e+081.019774e+081.242090e+031805.5809474.674039e+09
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6.782486e+08 2.008314e+02 \n", + "51 2.994393e+09 7.121469e+08 7.121469e+08 7.121469e+08 1.309403e+03 \n", + "52 3.053107e+09 7.460452e+08 7.460452e+08 7.460452e+08 7.680958e+02 \n", + "53 3.111820e+09 7.799435e+08 7.799435e+08 7.799435e+08 6.132730e+03 \n", + "54 3.170534e+09 8.138418e+08 8.138418e+08 8.138418e+08 5.950852e+02 \n", + "55 3.229247e+09 8.477401e+08 8.477401e+08 8.477401e+08 6.124399e+01 \n", + "56 3.287961e+09 8.816384e+08 8.816384e+08 8.816384e+08 4.084317e+03 \n", + "57 3.346674e+09 9.155367e+08 9.155367e+08 9.155367e+08 3.961233e+01 \n", + "58 3.405388e+09 9.494350e+08 9.494350e+08 9.494350e+08 2.941436e+03 \n", + "59 3.464102e+09 9.833333e+08 9.833333e+08 9.833333e+08 2.773010e+03 \n", + "\n", + " vft_y vft_z \n", + "0 393.552089 4.648143e+03 \n", + "1 2317.924061 1.285846e+03 \n", + "2 6173.316134 4.052696e+03 \n", + "3 2380.064390 4.501021e+03 \n", + "4 288.038232 2.839528e+03 \n", + "5 595.400369 4.016604e+03 \n", + "6 1372.560473 1.260118e+03 \n", + "7 1178.687721 6.262794e+02 \n", + "8 1533.887086 5.459092e+01 \n", + "9 334.603270 1.435166e+03 \n", + "10 843.899082 1.565083e+03 \n", + "11 3304.531848 1.852090e+03 \n", + "12 708.957551 3.694698e+03 \n", + "13 353.885090 6.170849e+02 \n", + "14 288.945820 1.092618e+03 \n", + "15 226.598504 6.933376e+02 \n", + "16 64.858227 3.323197e+03 \n", + "17 50.318637 2.712965e+03 \n", + "18 256.220080 2.648454e+03 \n", + "19 1015.504699 3.903142e+03 \n", + "20 4922.106687 2.906315e+02 \n", + "21 1479.885742 2.982993e+03 \n", + "22 2267.168013 5.360887e+03 \n", + "23 2508.102950 1.843198e+04 \n", + "24 146.476476 2.197102e+05 \n", + "25 2161.288350 3.405677e+06 \n", + "26 909.645124 1.979359e+09 \n", + "27 1805.580947 4.674039e+09 \n", + "28 3387.986581 4.770417e+06 \n", + "29 687.204027 1.689633e+05 \n", + "30 90.731312 6.833231e+07 \n", + "31 687.204027 1.689633e+05 \n", + "32 3387.986581 4.770417e+06 \n", + "33 1805.580947 4.674039e+09 \n", + "34 909.645124 1.979359e+09 \n", + "35 2161.288350 3.405677e+06 \n", + "36 146.476476 2.197102e+05 \n", + "37 2508.102950 1.843198e+04 \n", + "38 2267.168013 5.360887e+03 \n", + "39 1479.885742 2.982993e+03 \n", + "40 4922.106687 2.906315e+02 \n", + "41 1015.504699 3.903142e+03 \n", + "42 256.220080 2.648454e+03 \n", + "43 50.318637 2.712965e+03 \n", + "44 64.858227 3.323197e+03 \n", + "45 226.598504 6.933376e+02 \n", + "46 288.945820 1.092618e+03 \n", + "47 353.885090 6.170849e+02 \n", + "48 708.957551 3.694698e+03 \n", + "49 3304.531848 1.852090e+03 \n", + "50 843.899082 1.565083e+03 \n", + "51 334.603270 1.435166e+03 \n", + "52 1533.887086 5.459092e+01 \n", + "53 1178.687721 6.262794e+02 \n", + "54 1372.560473 1.260118e+03 \n", + "55 595.400369 4.016604e+03 \n", + "56 288.038232 2.839528e+03 \n", + "57 2380.064390 4.501021e+03 \n", + "58 6173.316134 4.052696e+03 \n", + "59 2317.924061 1.285846e+03 " + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "line = psd.line(p1=psd.mesh.region.pmin, p2=psd.mesh.region.pmax, n=60)\n", + "line.data" + ] + }, + { + "cell_type": "markdown", + "id": "de284343", + "metadata": {}, + "source": [ + "We can process the data to help it to be more meaningful. We will change the length along the line `r` to have its zero point at the origin." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "f3322731", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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rk_xk_yk_zvft_xvft_yvft_z
0-1.760918e+09-1.016667e+09-1.016667e+09-1.016667e+092.859823e+03393.5520894.648143e+03
1-1.702205e+09-9.827684e+08-9.827684e+08-9.827684e+082.773010e+032317.9240611.285846e+03
2-1.643491e+09-9.488701e+08-9.488701e+08-9.488701e+082.941436e+036173.3161344.052696e+03
3-1.584778e+09-9.149718e+08-9.149718e+08-9.149718e+083.961233e+012380.0643904.501021e+03
4-1.526064e+09-8.810734e+08-8.810734e+08-8.810734e+084.084317e+03288.0382322.839528e+03
5-1.467350e+09-8.471751e+08-8.471751e+08-8.471751e+086.124399e+01595.4003694.016604e+03
6-1.408637e+09-8.132768e+08-8.132768e+08-8.132768e+085.950852e+021372.5604731.260118e+03
7-1.349923e+09-7.793785e+08-7.793785e+08-7.793785e+086.132730e+031178.6877216.262794e+02
8-1.291210e+09-7.454802e+08-7.454802e+08-7.454802e+087.680958e+021533.8870865.459092e+01
9-1.232496e+09-7.115819e+08-7.115819e+08-7.115819e+081.309403e+03334.6032701.435166e+03
10-1.173782e+09-6.776836e+08-6.776836e+08-6.776836e+082.008314e+02843.8990821.565083e+03
11-1.115069e+09-6.437853e+08-6.437853e+08-6.437853e+089.241279e+023304.5318481.852090e+03
12-1.056355e+09-6.098870e+08-6.098870e+08-6.098870e+089.924779e+02708.9575513.694698e+03
13-9.976417e+08-5.759887e+08-5.759887e+08-5.759887e+082.415044e+02353.8850906.170849e+02
14-9.389281e+08-5.420904e+08-5.420904e+08-5.420904e+083.261003e+02288.9458201.092618e+03
15-8.802145e+08-5.081921e+08-5.081921e+08-5.081921e+089.967368e+02226.5985046.933376e+02
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\n", + "
" + ], + "text/plain": [ + " r k_x k_y k_z vft_x \\\n", + "0 -1.760918e+09 -1.016667e+09 -1.016667e+09 -1.016667e+09 2.859823e+03 \n", + "1 -1.702205e+09 -9.827684e+08 -9.827684e+08 -9.827684e+08 2.773010e+03 \n", + "2 -1.643491e+09 -9.488701e+08 -9.488701e+08 -9.488701e+08 2.941436e+03 \n", + "3 -1.584778e+09 -9.149718e+08 -9.149718e+08 -9.149718e+08 3.961233e+01 \n", + "4 -1.526064e+09 -8.810734e+08 -8.810734e+08 -8.810734e+08 4.084317e+03 \n", + "5 -1.467350e+09 -8.471751e+08 -8.471751e+08 -8.471751e+08 6.124399e+01 \n", + "6 -1.408637e+09 -8.132768e+08 -8.132768e+08 -8.132768e+08 5.950852e+02 \n", + "7 -1.349923e+09 -7.793785e+08 -7.793785e+08 -7.793785e+08 6.132730e+03 \n", + "8 -1.291210e+09 -7.454802e+08 -7.454802e+08 -7.454802e+08 7.680958e+02 \n", + "9 -1.232496e+09 -7.115819e+08 -7.115819e+08 -7.115819e+08 1.309403e+03 \n", + "10 -1.173782e+09 -6.776836e+08 -6.776836e+08 -6.776836e+08 2.008314e+02 \n", + "11 -1.115069e+09 -6.437853e+08 -6.437853e+08 -6.437853e+08 9.241279e+02 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2.375706e+08 2.375706e+08 2.375706e+08 2.150478e+03 \n", + "38 4.701980e+08 2.714689e+08 2.714689e+08 2.714689e+08 1.208671e+03 \n", + "39 5.289116e+08 3.053672e+08 3.053672e+08 3.053672e+08 5.927474e+03 \n", + "40 5.876251e+08 3.392655e+08 3.392655e+08 3.392655e+08 4.262257e+02 \n", + "41 6.463387e+08 3.731638e+08 3.731638e+08 3.731638e+08 1.712911e+03 \n", + "42 7.050523e+08 4.070621e+08 4.070621e+08 4.070621e+08 3.728479e+03 \n", + "43 7.637659e+08 4.409605e+08 4.409605e+08 4.409605e+08 1.290040e+03 \n", + "44 8.224795e+08 4.748588e+08 4.748588e+08 4.748588e+08 3.063110e+02 \n", + "45 8.811931e+08 5.087571e+08 5.087571e+08 5.087571e+08 9.967368e+02 \n", + "46 9.399067e+08 5.426554e+08 5.426554e+08 5.426554e+08 3.261003e+02 \n", + "47 9.986203e+08 5.765537e+08 5.765537e+08 5.765537e+08 2.415044e+02 \n", + "48 1.057334e+09 6.104520e+08 6.104520e+08 6.104520e+08 9.924779e+02 \n", + "49 1.116047e+09 6.443503e+08 6.443503e+08 6.443503e+08 9.241279e+02 \n", + "50 1.174761e+09 6.782486e+08 6.782486e+08 6.782486e+08 2.008314e+02 \n", + "51 1.233475e+09 7.121469e+08 7.121469e+08 7.121469e+08 1.309403e+03 \n", + "52 1.292188e+09 7.460452e+08 7.460452e+08 7.460452e+08 7.680958e+02 \n", + "53 1.350902e+09 7.799435e+08 7.799435e+08 7.799435e+08 6.132730e+03 \n", + "54 1.409615e+09 8.138418e+08 8.138418e+08 8.138418e+08 5.950852e+02 \n", + "55 1.468329e+09 8.477401e+08 8.477401e+08 8.477401e+08 6.124399e+01 \n", + "56 1.527043e+09 8.816384e+08 8.816384e+08 8.816384e+08 4.084317e+03 \n", + "57 1.585756e+09 9.155367e+08 9.155367e+08 9.155367e+08 3.961233e+01 \n", + "58 1.644470e+09 9.494350e+08 9.494350e+08 9.494350e+08 2.941436e+03 \n", + "59 1.703183e+09 9.833333e+08 9.833333e+08 9.833333e+08 2.773010e+03 \n", + "\n", + " vft_y vft_z \n", + "0 393.552089 4.648143e+03 \n", + "1 2317.924061 1.285846e+03 \n", + "2 6173.316134 4.052696e+03 \n", + "3 2380.064390 4.501021e+03 \n", + "4 288.038232 2.839528e+03 \n", + "5 595.400369 4.016604e+03 \n", + "6 1372.560473 1.260118e+03 \n", + "7 1178.687721 6.262794e+02 \n", + "8 1533.887086 5.459092e+01 \n", + "9 334.603270 1.435166e+03 \n", + "10 843.899082 1.565083e+03 \n", + "11 3304.531848 1.852090e+03 \n", + "12 708.957551 3.694698e+03 \n", + "13 353.885090 6.170849e+02 \n", + "14 288.945820 1.092618e+03 \n", + "15 226.598504 6.933376e+02 \n", + "16 64.858227 3.323197e+03 \n", + "17 50.318637 2.712965e+03 \n", + "18 256.220080 2.648454e+03 \n", + "19 1015.504699 3.903142e+03 \n", + "20 4922.106687 2.906315e+02 \n", + "21 1479.885742 2.982993e+03 \n", + "22 2267.168013 5.360887e+03 \n", + "23 2508.102950 1.843198e+04 \n", + "24 146.476476 2.197102e+05 \n", + "25 2161.288350 3.405677e+06 \n", + "26 909.645124 1.979359e+09 \n", + "27 1805.580947 4.674039e+09 \n", + "28 3387.986581 4.770417e+06 \n", + "29 687.204027 1.689633e+05 \n", + "30 90.731312 6.833231e+07 \n", + "31 687.204027 1.689633e+05 \n", + "32 3387.986581 4.770417e+06 \n", + "33 1805.580947 4.674039e+09 \n", + "34 909.645124 1.979359e+09 \n", + "35 2161.288350 3.405677e+06 \n", + "36 146.476476 2.197102e+05 \n", + "37 2508.102950 1.843198e+04 \n", + "38 2267.168013 5.360887e+03 \n", + "39 1479.885742 2.982993e+03 \n", + "40 4922.106687 2.906315e+02 \n", + "41 1015.504699 3.903142e+03 \n", + "42 256.220080 2.648454e+03 \n", + "43 50.318637 2.712965e+03 \n", + "44 64.858227 3.323197e+03 \n", + "45 226.598504 6.933376e+02 \n", + "46 288.945820 1.092618e+03 \n", + "47 353.885090 6.170849e+02 \n", + "48 708.957551 3.694698e+03 \n", + "49 3304.531848 1.852090e+03 \n", + "50 843.899082 1.565083e+03 \n", + "51 334.603270 1.435166e+03 \n", + "52 1533.887086 5.459092e+01 \n", + "53 1178.687721 6.262794e+02 \n", + "54 1372.560473 1.260118e+03 \n", + "55 595.400369 4.016604e+03 \n", + "56 288.038232 2.839528e+03 \n", + "57 2380.064390 4.501021e+03 \n", + "58 6173.316134 4.052696e+03 \n", + "59 2317.924061 1.285846e+03 " + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "line.data[\"r\"] = np.sqrt(3) * line.data[\"k_x\"]\n", + "line.data" + ] + }, + { + "cell_type": "markdown", + "id": "406b9049", + "metadata": {}, + "source": [ + "To plot this line we can use `mpl` along with adding some axis to the plot." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "c4f5bbe6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots()\n", + "line.mpl(ax=ax)\n", + "\n", + "# Provide titles and labels\n", + "ax.set_xlabel(\"Distance from origin (nm)$^{-1}$\")\n", + "ax.set_ylabel(\"PSD (arb.)\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ffbbd0df", + "metadata": {}, + "source": [ + "We can clearly see the two peaks originating from the the density wave propagating in the $xyz$ direction. As expected from the initial wavelength that was set, the peaks occur at $k = \\pm \\frac{1}{5}\\,(\\mathrm{nm})^{-1}= \\pm 0.2\\,(\\mathrm{nm})^{-1}$." + ] + } + ], + "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": "3.8.17" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}