Physics101AsteroSeismologyAndSphericalHarmonics.ipynb

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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "# The following import configures Matplotlib for 3D plotting.\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from scipy.special import sph_harm\n",
    "plt.rc('text', usetex=True) #sudo apt-get install dvipng texlive-latex-extra texlive-fonts-recommended cm-super"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Astero seismology and spherical harmonics\n",
    "\n",
    "## Introduction\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "* [Excellent AAVSO introduction from Conny Aerts on Astera seismology](https://www.youtube.com/watch?v=b7KcFvASM0Y&ab_channel=AAVSOHQ)\n",
    "* [Wikipedia article about asteroseismology](https://en.wikipedia.org/wiki/Asteroseismology)\n",
    "* [Wikipedia article about spherical harmonics](https://en.wikipedia.org/wiki/Spherical_harmonics)\n",
    "* [Wikipedia article about bessel functions](https://en.wikipedia.org/wiki/Bessel_function)\n",
    "* [scipy manual for spherical harmonics](https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.sph_harm.html)\n",
    "* [scipython blog for spherical harmonics vizualization](https://scipython.com/blog/visualizing-the-real-forms-of-the-spherical-harmonics/)\n",
    "* [ChatGPT](chat.openai.com)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basics of differential equations for star modelisation\n",
    "\n",
    "### Introduction\n",
    "From [wikipedia article](https://en.wikipedia.org/wiki/Asteroseismology):\n",
    "\n",
    "By linearly perturbing the equations defining the mechanical equilibrium of a star (i.e. mass conservation and hydrostatic equilibrium) and assuming that the perturbations are adiabatic, one can derive a system of four differential equations whose solutions give the frequency and structure of a star's modes of oscillation. The stellar structure is usually assumed to be spherically symmetric, so the horizontal (i.e. non-radial) component of the oscillations is described by spherical harmonics, indexed by an angular degree $\\ell$  and azimuthal order $m$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "## Spherical harmonics\n",
    "\n",
    "### Fourier series and the laplacian operator\n",
    "\n",
    "Fourier series properties can be analyzed within various mathenatical framework. One of them is related to the Laplacian operator:\n",
    "\n",
    "We recall that the Laplacian operator, sometimes written $\\nabla \\cdot \\nabla$, $\\nabla^2$ or $\\Delta$, where $\\nabla$ can be written $\\left( \\frac{\\partial}{\\partial x_0}, \\frac{\\partial}{\\partial x_1}, \\dots \\frac{\\partial}{\\partial x_{n-1}} \\right)$ and the laplacian operator applied to a function $f$ reads $\\Delta f = \\sum_{i=0}^{n-1} \\frac{\\partial f}{\\partial x_i^2}$.\n",
    "\n",
    "Laplacian operator is the core operator of many different PDEs, and in particular to solve the heat equation, for which Joseph Fourier was famous for:\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial f}{\\partial t} = \\Delta_{xy} f\n",
    "\\end{align}\n",
    "\n",
    "\n",
    "It is interesting to notice that the trigonometric polynomial that defines the (separable) Fourier series basis elements are eigenfunctions for the laplacian operators over euclidean spaces:\n",
    "\n",
    "lets define $\\delta_{nF}(x) = e^{2 \\pi j nFx}$\n",
    "\n",
    "And\n",
    "\\begin{align}\n",
    "  \\frac{\\partial \\delta_{nF}}{\\partial x} (x) &= \\frac{\\partial  e^{2 \\pi j nFx}}{\\partial x} \\\\\n",
    "  &= 2 \\pi j nF e^{2 \\pi j nFx} \\\\\n",
    "\\end{align}\n",
    "\n",
    "And\n",
    "\\begin{align}\n",
    "  \\frac{\\partial \\delta_{nF}}{\\partial x^2} (x) &=  -(2\\pi nF)^2 e^{2 \\pi j nFx} \\\\\n",
    "  &= -(2\\pi nF)^2 \\delta_{nF}\\\\\n",
    "  &= \\lambda \\delta_{nF}\n",
    "\\end{align}\n",
    "\n",
    "Moreover, eigenfunctions of the laplacian can also be defined for functions on finite domains ([Bessel functions](https://en.wikipedia.org/wiki/Bessel_function) for radially symmetric domain like disks/cylinders and sphere), or [spherical harmonics](https://en.wikipedia.org/wiki/Spherical_harmonics) also for spherical domains."
   ]
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    "### A basic introduction to Laplace and Poisson partial differential equations\n",
    "This short paragraph is based on [Poisson equation wikipedia page](https://en.wikipedia.org/wiki/Poisson%27s_equation) and [this youtube video](https://www.youtube.com/watch?v=lsY7zYaezto)\n",
    "\n",
    "At the core, a Poisson equation, sought after a scalar valued fonction, and the equation gives you an expression for the Laplacian of this function, which is also a scalar field, example\n",
    "\n",
    "\\begin{align*}\n",
    "  \\Delta f = \\phi\n",
    "\\end{align*}\n",
    "\n",
    "#### Laplace equation / Elliptic PDE\n",
    "\\begin{align*}\n",
    "  \\Delta f = 0 \\\\\n",
    "  \\Delta_{xy} f = 0 \\\\\n",
    "\\end{align*}\n",
    "\n",
    "If the scalar field $\\phi$ is zero everywhere on your (spatial) domain, then when have a Laplace equation. Solutions to Laplace equation are called harmonic. It is pretty interesting to take a quick look at where the harmonic terms comes from: fourier series are expressed in terms of sum of complex harmonic functions (the $e^{2\\pi jnFt}$). It appears that the laplacian (in one dimension) of this family of function is $-(2\\pi nF)^2 e^{2\\pi jnFt}$ hence, one can say that those are eigenfunctions for the laplacian operator. This will be one of the core reason why Fourier series are useful for Laplace equations.\n",
    "\n",
    "Thanks to the linearity property of Laplace operator, one can also see that, the set of solutions of laplace equation (without bounday conditions) is equivalent to the nullspace of $\\Delta_{xy}$.\n",
    "\n",
    "#### Poisson equation / Elliptic PDE\n",
    "\\begin{align*}\n",
    "  \\Delta f = \\phi \\\\\n",
    "  \\Delta_{xy} f = \\phi \\\\\n",
    "\\end{align*}\n",
    "\n",
    "If the scalar field $\\phi$ is not zero everywhere on your (spatial) domain, then when have a Poisson equation. Interestingly, thanks to the linearity property of the Laplacian, one can see that (if we abstract boundary conditions) a set of solution for the Poisson equation can be obtained by finding a particular solution to $\\Delta f = \\phi$ and adding any element from the nullspace of the Laplacian operator. Which is why the two equation are strongly related.\n",
    "\n",
    "#### Heat equation / parabolic PDE\n",
    "\\begin{align*}\n",
    "  \\Delta f = \\phi \\\\\n",
    "  \\Delta_{xy} f = \\frac{\\partial f}{\\partial t} \\\\\n",
    "\\end{align*}\n",
    "\n",
    "In case there's another variable and gradient operator involved in $\\phi$, we are given with heat equation, for which a very famous solution was found by Joseph Fourier, we'll talk about that shortly after. Basically, the evolution of your scalar function $f$ defined over some (spatial) domain $x,y$ with respect to some variable $t$, is given by the laplacian of that very same scalar function itself. This allows so simulate the system by small time steps.\n",
    "\n",
    "#### Wave equation  / hyperbolic PDE\n",
    "\\begin{align*}\n",
    "  \\Delta f = \\phi \\\\\n",
    "  \\Delta f = \\frac{\\partial^2 f}{\\partial t^2} f \\\\\n",
    "\\end{align*}\n",
    "Wave equation is a bit like heat equation, but this time, it is the acceleration of the system (the scalar field) that is described by its own laplacian.\n",
    "\n",
    "#### A bit of math\n",
    "One can see, that, whatever solution you find for your Laplace equation, it will need to be expressed in terms of the given solution, that satisfies your boundary conditions plus the nullspace of the laplacian operator."
   ]
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    "### Laplacian operator defined on various domains\n",
    "\n",
    "Additional details for the theoretical aspects of distribution theory can be found on [this wikipedia article](https://en.wikipedia.org/wiki/Laplacian_of_the_indicator)\n",
    "\n",
    "We often describe a domain, or a set $D$ through its indicator function, often denoted $\\mathbf{1}_{D}\\colon X\\to \\{0,1\\}$ which is defined as:\n",
    "\\begin{align*}\n",
    "  \\mathbf{1}_{D}(x):=\n",
    "  \\begin{cases}\n",
    "    1~&{\\text{ if }}~x\\in D~,\\\\\n",
    "    0~&{\\text{ if }}~x\\notin D~.\n",
    "  \\end{cases}\n",
    "\\end{align*}\n",
    "\n",
    "It is interesting to notice, that indicator can actually be seen as a generalization of the dirac (denoted $\\delta$) function for point, but adapted to surfaces, ie:\n",
    "\n",
    "\\begin{align*}\n",
    "  \\delta(x) &\\to -n_x\\cdot\\nabla_x\\mathbf{1}_{x\\in D} \\\\\n",
    "  \\delta'(x) &\\to \\nabla_x^2 \\mathbf{1}_{x\\in D}.\n",
    "\\end{align*}\n",
    "\n",
    "Where n is the outward normal vector.\n",
    "\n",
    "Now, every PDE that has to be solved over a domain, has a solution than can be seen as a product of a solution valid over the domain with the indicator function of this domain.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Spherical harmonics in practice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
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\n",
      "text/plain": [
       "<Figure size 800x800 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Grids of polar and azimuthal angles\n",
    "theta = np.linspace(0, np.pi, 100)\n",
    "phi = np.linspace(0, 2*np.pi, 100)\n",
    "# Create a 2-D meshgrid of (theta, phi) angles.\n",
    "theta, phi = np.meshgrid(theta, phi)\n",
    "# Calculate the Cartesian coordinates of each point in the mesh.\n",
    "xyz = np.array([np.sin(theta) * np.sin(phi),\n",
    "                np.sin(theta) * np.cos(phi),\n",
    "                np.cos(theta)])\n",
    "\n",
    "def plot_Y(ax, el, m):\n",
    "    \"\"\"Plot the spherical harmonic of degree el and order m on Axes ax.\"\"\"\n",
    "\n",
    "    # NB In SciPy's sph_harm function the azimuthal coordinate, theta,\n",
    "    # comes before the polar coordinate, phi.\n",
    "    Y = sph_harm(abs(m), el, phi, theta)\n",
    "\n",
    "    # Linear combination of Y_l,m and Y_l,-m to create the real form.\n",
    "    if m < 0:\n",
    "        Y = np.sqrt(2) * (-1)**m * Y.imag\n",
    "    elif m > 0:\n",
    "        Y = np.sqrt(2) * (-1)**m * Y.real\n",
    "    Yx, Yy, Yz = np.abs(Y) * xyz\n",
    "\n",
    "    # Colour the plotted surface according to the sign of Y.\n",
    "    cmap = plt.cm.ScalarMappable(cmap=plt.get_cmap('autumn'))\n",
    "    cmap.set_clim(-0.5, 0.5)\n",
    "\n",
    "    ax.plot_surface(Yx, Yy, Yz,\n",
    "                    facecolors=cmap.to_rgba(Y.real),\n",
    "                    rstride=2, cstride=2)\n",
    "\n",
    "    # Draw a set of x, y, z axes for reference.\n",
    "    ax_lim = 0.5\n",
    "    ax.plot([-ax_lim, ax_lim], [0,0], [0,0], c='0.5', lw=1, zorder=10)\n",
    "    ax.plot([0,0], [-ax_lim, ax_lim], [0,0], c='0.5', lw=1, zorder=10)\n",
    "    ax.plot([0,0], [0,0], [-ax_lim, ax_lim], c='0.5', lw=1, zorder=10)\n",
    "    # Set the Axes limits and title, turn off the Axes frame.\n",
    "    ax.set_title(r'$Y_{{{},{}}}$'.format(el, m))\n",
    "    ax_lim = 0.5\n",
    "    ax.set_xlim(-ax_lim, ax_lim)\n",
    "    ax.set_ylim(-ax_lim, ax_lim)\n",
    "    ax.set_zlim(-ax_lim, ax_lim)\n",
    "    ax.axis('off')\n",
    "\n",
    "# fig = plt.figure(figsize=plt.figaspect(1.))\n",
    "# ax = fig.add_subplot(projection='3d')\n",
    "# l, m = 3, 0\n",
    "# plot_Y(ax, l, m)\n",
    "# #plt.savefig('Y{}_{}.png'.format(l, m))\n",
    "# plt.show()\n",
    "\n",
    "el_max = 3\n",
    "figsize_px, DPI = 800, 100\n",
    "figsize_in = figsize_px / DPI\n",
    "fig = plt.figure(figsize=(figsize_in, figsize_in), dpi=DPI)\n",
    "spec = gridspec.GridSpec(ncols=2*el_max+1, nrows=el_max+1, figure=fig)\n",
    "for el in range(el_max+1):\n",
    "    for m_el in range(-el, el+1):\n",
    "        #print(el, m_el)\n",
    "        ax = fig.add_subplot(spec[el, m_el+el_max], projection='3d')\n",
    "        plot_Y(ax, el, m_el)\n",
    "plt.tight_layout()\n",
    "#plt.savefig('sph_harm.png')\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}