{ "cells": [ { "cell_type": "markdown", "id": "d9231ab1", "metadata": {}, "source": [ "# Normal vs. Cauchy distribution\n", "Cauchy distribution is also known as the Cauchy-Lorentz or Breit-Wigner distribution\n", "\n", "Normal distribution (normalized, mean $\\mu=0$, variance $\\sigma=1$)\n", "$$\n", "N(x) = \\frac{1}{\\sqrt{2\\pi}} e^{-\\frac{x^2}{2}} \n", "$$\n", "\n", "Standard Cauchy distribution\n", "$$\n", "C(x) = \\frac{1}{\\pi(1+x^2)}\n", "$$\n", "Cauchy has no mean value. The value of the integral\n", "$$\n", "\\mu = \\int_{­-\\infty}^{\\infty} dx x C(x) \n", "$$\n", "is mathematically undefined, because the result depends on the speed $x$ approaches the infinities. Define\n", "$$\n", "\\mu(c,R) = \\int_{­-cR}^{R} dx x C(x) \n", "$$ \n", "with constant $c$, and and let $R\\to\\infty$. You get a different result for different $c$.\n", "he problem appears because of the long tails of the Cauchy distribution.\n", "\n", "\n", "You can argue, that since the integrand is clearly antisymmetric, a symmetric integration should give $\\mu=0$ for Cauchy. This logic fails, however, because the split integrals in\n", "$$\n", "\\mu = \\int_{­-\\infty}^0 dx x C(x) + \\int_0^\\infty dx x C(x)\n", "$$ \n", "don't converge. \n", "\n", "One can define the so-called Cauchy principal value, which can be numerically evaluated picking $x$-points symmetrically wrt. $x=0$. For the Cauchy distribution the Cauchy principal value is 0. \n", "$$\n", "P \\int_{­\\infty}^{\\infty} dx x C(x) = 0\\ .\n", "$$\n", "\n", "## Let's do *Markov chain -sampling* of the two distibutions.\n", "\n", "To draw samples from a distribution, start from some initial $x$ and suggest a move to $x'= x+\\Delta$. The move is accepted or rejected based on the ratio of the new and the old values of the distribution. This is the Metropolis question. \n", "- The normalization of the distribution is not needed ($\\Rightarrow$ applies also to QM wave function sampling!)\n", "- The Markov chain sampling is widely applicaple, but common distributions (normal, exponential,...) can be sampled directly. \n", "- Markov chain sampling is rather ineffective, because subsequent sampled points are highly correlated \n" ] }, { "cell_type": "code", "execution_count": 27, "id": "29973eef", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n" ] }, { "cell_type": "markdown", "id": "90cee07a", "metadata": {}, "source": [ "Define distributions and the Metropolis question" ] }, { "cell_type": "code", "execution_count": 28, "id": "c0eb9b0d", "metadata": {}, "outputs": [], "source": [ "\n", "\n", "def cauchy_dist(x):\n", " return 1/(np.pi*(1+x**2))\n", "\n", "def normal_dist(x):\n", " return 1/np.sqrt(2*np.pi)*np.exp(-x**2/2)\n", "\n", "def metro(Wold,Wnew):\n", " if Wnew>Wold:\n", " return True\n", " else:\n", " ratio=Wnew/Wold\n", " if ratio>np.random.random():\n", " return True\n", " else:\n", " return False\n", "\n" ] }, { "cell_type": "markdown", "id": "3b6cee64", "metadata": {}, "source": [ "Sample N points from Normal and Cauchy" ] }, { "cell_type": "code", "execution_count": null, "id": "a6eee395", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "N=100000\n", "rng = np.random.default_rng(seed=12345) # random number generator\n", "\n", "for dist in [normal_dist, cauchy_dist]:\n", " xs = np.zeros(N)\n", " x = 0.0\n", " step = 1.0\n", " nacc = 0\n", " ntry = 0\n", " \n", " Wold = dist(x)\n", " \n", " for i in range(-100,N): # 100 thermalization steps\n", " xold = x\n", " x += (rng.random()-0.5)*step\n", " Wnew = dist(x)\n", " ntry += 1\n", " # Accept/Reject step (Metropolis algorithm)\n", " if metro(Wold,Wnew):\n", " Wold = Wnew\n", " nacc += 1\n", " else:\n", " x = xold\n", "\n", " # adjust step size to keep acceptance ratio around 50%\n", " # You might want to make step adjustments only in thermalization\n", " if ntry%100 == 0: \n", " ratio = nacc*100.0/ntry \n", " if ratio>60.0:\n", " step = 1.1*step\n", " else:\n", " if ratio<40.0:\n", " step = 0.9*step\n", "\n", " # Try without zeroing nacc and ntry\n", " # and you see a funny pattern in normal_dist points\n", " # (step hangs around 15 for a while, and x isn't moving steadily)\n", " # Without zeroing, nacc and ntry would reflect the *global* acceptance pattern, which \n", " # responds too slowly to the local acceptance ratio. Zeroing them allows the \n", " # step size to adapt more quickly to the local acceptance ratio.\n", " # print(f'{ratio:8.5f}, {step:8.5f}, \\'ratio, step\\'') \n", " nacc = 0\n", " ntry = 0\n", " \n", " \n", " # thermalization steps are not stored in xs\n", " if i>0 : xs[i]=x\n", " \n", " f, (ax1, ax2) = plt.subplots(1, 2) \n", " \n", " ax1.set_title(f'data N={N}')\n", " ax1.plot(xs,'.',markersize=0.1)\n", "\n", " x = np.linspace(-10, 10, num=1000)\n", " ax2.set_xlim(-10,10)\n", "\n", " ax2.set_title(dist.__name__)\n", " ax2.plot(x, normal_dist(x), 'r-')\n", " ax2.hist(xs, bins = 500, density = True)\n", "\n", " plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "2bd73cf1", "metadata": {}, "source": [ "# Causality and Principal value integrals\n", " - Probability theory rejects the principal value because it requires absolute convergence\n", " - In physics, the principal value is a tool used to bypass a mathematical singularity and extract real, physical data.\n", "In response function theory, Cauchy Principal Value integrals are behind the Kramers-Kronig relations.\n", "Here is how and why they are used.\n", "\n", ">Causality: A system cannot respond to a stimulus before the stimulus happens.\n", "\n", "In linear response theory, the response $x$ is linearly proportional to the perturbation $f$, \n", "$$\n", "x(t) = \\int_{-\\infty}^\\infty dt' \\chi(t-t') f(t')\\ , \n", "$$\n", "which defined the linear response function, susceptibility, $\\chi$.\n", "Causality requires that $\\chi(t)=0$ for $t<0$, so the Fourier transform is \n", "$$\n", "\\chi(\\omega) = \\int_0^\\infty dt \\chi(t) e^{i\\omega t}\\ .\n", "$$\n", "Using complex $\\omega = \\omega_R + i \\omega_I$,\n", "$$\n", "e^{i\\omega t} = e^{i\\omega_R t} e^{-\\omega_I t}\\ .\n", "$$\n", "For $\\omega_I>0$ the exponential decays as $t$ increases, and $\\chi(\\omega)$ is *analytic in the upper half of the complex $\\omega$-plane*.\n", "\n", "Cauchy's theorem now says that \n", "$$\n", "\\chi(\\omega) = \\frac{1}{\\pi} P \\int_{-\\infty}^{\\infty} d\\omega' \\frac{\\chi(\\omega')}{\\omega'-\\omega} \\ ,\n", "$$\n", "where $P$ stands for the *principal value*. \n", "\n", "The consequence is known as Kramers-Kronig relations, which relate the real part of the response function $\\chi'(\\omega)$ and the imaginary part of the response function $\\chi''(\\omega)$, \n", "$$\n", "\\chi'(\\omega_0) = \\frac{1}{\\pi} P \\int_{-\\infty}^{\\infty} \\frac{\\chi''(\\omega)}{\\omega-\\omega_0} \n", "~~~~~~\\chi''(\\omega_0) = -\\frac{1}{\\pi} P \\int_{-\\infty}^{\\infty} \\frac{\\chi'(\\omega)}{\\omega-\\omega_0} \n", "$$ \n", "For example, we can calculate a material's absorption spectrum from a measured refractive index (or vice versa)." ] }, { "cell_type": "markdown", "id": "3cd93c13", "metadata": {}, "source": [ "### Where does the principal value come to the KK relations?\n", "\n", "In physics, principal value appears in the *Dirac relation*,\n", "$$\n", "\\frac{1}{x\\mp i\\eta} = P\\left(\\frac{1}{x}\\right) \\pm i\\pi \\delta(x)~~~,~\\mathrm{where~}\\eta\\to 0^+\\ . \n", "$$\n", "Instead of just evaluating the response to stimulus at frequence $\\omega$ using susceptibility\n", "$$\n", "\\chi(\\omega) = \\frac{1}{i\\pi}\\int_{-\\infty}^\\infty \\frac{\\chi(\\omega')}{\\omega'-\\omega} d\\omega' , \n", "$$\n", "we must also require causality. This can be achieved using *adiabatic switching*,\n", "where the system is unperturbed in the infinite past.\n", "If an external perturbation $f(t)$ (electric field, for example) is turned on in the infinite past and reaching full strength at $t=0$, we have \n", "$$\n", "f(t) = f_0e^{\\eta t}\\ .\n", "$$\n", "The linear response at time $t$ caused by stimulus at time $t'$ is (this defines the susceptibity $\\chi$)\n", "$$\n", "x(t) = \\int_{-\\infty}^\\infty \\chi(t-t') f(t') dt' \n", "$$\n", "Insert the slow switching on,\n", "$$\n", "x(t)= \\int_{-\\infty}^\\infty \\chi(t-t') f_0 e^{\\eta t'} dt' \\ .\n", "$$\n", "The response at $t=0$ is \n", "$$\n", "x(t=0) = \\int_{-\\infty}^\\infty \\chi(-t') f_0 e^{\\eta t'} dt'\\ ,\n", "$$\n", "and since this response cannot have anything coming from times $t'>0$ (from the future), we can cut the limit to\n", "$$\n", "x(t=0) = \\int_{-\\infty}^0 \\chi(-t') f_0 e^{\\eta t'} dt'\\ ,\n", "$$\n", "and changing variables (change in our time perspective)\n", "$$\n", "x(t=0) = \\int_0^{\\infty} \\chi(t') f_0 e^{-\\eta t'} dt' \\ .\n", "$$\n", "Adiabatic switching can now be added to the susceptibity as\n", "$$\n", "\\chi_\\eta(t) := \\chi(t) e^{-\\eta t}~~~,~\\eta>0\\ .\n", "$$\n", "In the end of the calculation we take the $\\eta\\to 0^+$-limit. \n" ] }, { "cell_type": "markdown", "id": "d97d5fe2", "metadata": {}, "source": [ "# Kramers-Kronig relations evaluated using FFT\n", "\n", "Kramers-Kronig relations are convolutions in frequency, hence products in time. The integral\n", "$$\n", "\\chi'(\\omega) = \\frac{1}{\\pi} P \\int_{-\\infty}^\\infty \\frac{\\chi''(\\omega')}{\\omega'-\\omega} d\\omega'\n", "$$ \n", "is a Hilbert transform,\n", "$$\n", "H[f](\\omega) = \\frac{1}{\\pi} P \\int_{-\\infty}^\\infty \\frac{f(\\omega')}{\\omega-\\omega'} d\\omega'\\ ,\n", "$$\n", "so we get \n", "$$\n", "\\chi' = -H[\\chi'']~~~~~\\chi'' = H[\\chi'] \\ .\n", "$$\n", "Convolution in frequency domain becomes just multiplication in time domain, \n", "$$\n", "\\mathcal{F}^{−1}[H f](t)=−i sgn(t)f(t)\\ ,\n", "$$ \n", "so one computes inverse and forward FFTs, for example,\n", "$$\n", "\\chi''(\\omega) \\to \\chi''(t) \\to -i sgn(t) \\chi''(t) \\to \\chi(\\omega) \\ .\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "id": "257b3b8e", "metadata": {}, "source": [ "## Pitfalls of using FFT in Kramers-Kronig\n", "FFT works with a finite, discretely sampled, periodic signal. KK assumes an infinite frequency range. \n", "\n", "- Usually one has data only for $−\\omega_\\text{max}​<\\omega<\\omega_\\text{max}$.\n", "The KK integral formally contains contributions from frequencies outside that interval. Simply FFTing the measured interval implicitly makes assumptions about those missing frequencies. \n", "\n", "- Wraparound. The discrete FFT interprets your sampled frequency array as periodic. The Hilbert-transform kernel therefore becomes a periodic Hilbert transform, not exactly the infinite-line KK integral. Zero-padding helps reduce wraparound effects, but it does not recreate genuinely missing high-frequency physics.\n", "\n" ] }, { "cell_type": "markdown", "id": "1a19e830", "metadata": {}, "source": [ "## Example: From measured absorbtion peak to real part of susceptibility " ] }, { "cell_type": "code", "execution_count": 30, "id": "c2124f28", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KK-FFT transform complete.\n", "Max absolute error in central region: 0.008414\n", "Max absolute error: 0.019968\n" ] } ], "source": [ "import numpy as np\n", "from scipy.signal import hilbert\n", "\n", "N = 2048\n", "w = np.linspace(-50, 50, N, endpoint=False)\n", "\n", "gamma = 2.0\n", "\n", "# Absorptive part\n", "chi_2 = gamma / (w**2 + gamma**2)\n", "\n", "# KK partner for this chosen sign convention\n", "chi_1_analytic = w / (w**2 + gamma**2)\n", "\n", "# scipy.signal.hilbert gives x + i H[x]\n", "# Our KK convention has chi_1 = -H[chi_2]\n", "chi_1_numeric = np.imag(hilbert(chi_2))\n", "\n", "mid_region = slice(N // 4, 3 * N // 4)\n", "\n", "max_error_mid = np.max(\n", " np.abs(chi_1_numeric[mid_region] - chi_1_analytic[mid_region])\n", ")\n", "max_error = np.max(\n", " np.abs(chi_1_numeric - chi_1_analytic)\n", ")\n", "\n", "print(\"KK-FFT transform complete.\")\n", "print(f\"Max absolute error in central region: {max_error_mid:.6f}\")\n", "print(f\"Max absolute error: {max_error:.6f}\")\n" ] }, { "cell_type": "code", "execution_count": 31, "id": "2875a850", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax1.plot(w, chi_2, label='Imaginary Part (chi_2)', color='blue')\n", "ax1.set_title('Imaginary Part of Susceptibility')\n", "ax1.set_xlabel('Frequency (w)')\n", "ax1.set_ylabel('chi_2(w)')\n", "ax1.legend()\n", "ax2.plot(w, chi_1_numeric, label='Numeric Real Part (chi_1)', color='orange')\n", "ax2.plot(w, chi_1_analytic, label='Analytic Real Part (chi_1)', color='green', linestyle='--')\n", "ax2.set_title('Real Part of Susceptibility')\n", "ax2.set_xlabel('Frequency (w)')\n", "ax2.set_ylabel('chi_1(w)')\n", "ax2.legend()\n", "plt.tight_layout()\n", "plt.show() " ] }, { "cell_type": "markdown", "id": "31957eac", "metadata": {}, "source": [ "### Reducing the Hilbert transform wraparound effects using zero padding \n", "\n", "The Hilbert transform kernel $1/(\\omega-\\omega')$ is long ranged.\n", "FFT sees the Lorentzian peak as a repeated structure,\n", "\n", "...|Lorentzian|Lorentzian|Lorentzian|...\n", "\n", "and we now try to push the extra Loretzians to so far from the signal that the FFT won't wrap them to our frequency window,\n", "\n", "...|(zeros) Lorentzian (zeros)| (zeros) Lorentzian (zeros)|(zeros) Lorentzian (zeros)|...\n", "\n", ">Zero padding does not add any missing physical high-frequency information. It only reduces the artificial interaction between periodic copies introduced by the FFT." ] }, { "cell_type": "code", "execution_count": 32, "id": "55479ace", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Max error, no padding: 8.413505e-03\n", "Max error, with padding: 7.955879e-04\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.signal import hilbert\n", "import matplotlib.pyplot as plt\n", "\n", "# Frequency grid\n", "N = 2048\n", "w = np.linspace(-50, 50, N, endpoint=False)\n", "\n", "gamma = 2.0\n", "\n", "# Imaginary part\n", "chi_2 = gamma / (w**2 + gamma**2)\n", "\n", "# Exact KK partner\n", "chi_1_analytic = w / (w**2 + gamma**2)\n", "\n", "# ------------------------------------------------------------\n", "# Hilbert transform without padding\n", "# ------------------------------------------------------------\n", "chi_1_numeric = np.imag(hilbert(chi_2))\n", "\n", "# ------------------------------------------------------------\n", "# Zero padding\n", "# ------------------------------------------------------------\n", "pad = N # add zeros to both ends\n", "chi_2_padded = np.pad(chi_2, pad_width=pad, mode='constant')\n", "\n", "# Hilbert transform of the padded array\n", "chi_1_padded_full = np.imag(hilbert(chi_2_padded))\n", "\n", "# Extract the part corresponding to the original frequency range\n", "chi_1_padded = chi_1_padded_full[pad:pad + N]\n", "\n", "# ------------------------------------------------------------\n", "# Errors\n", "# ------------------------------------------------------------\n", "mid_region = slice(N // 4, 3 * N // 4)\n", "\n", "err_no_pad = np.max(\n", " np.abs(chi_1_numeric[mid_region] - chi_1_analytic[mid_region])\n", ")\n", "\n", "err_pad = np.max(\n", " np.abs(chi_1_padded[mid_region] - chi_1_analytic[mid_region])\n", ")\n", "\n", "print(f\"Max error, no padding: {err_no_pad:.6e}\")\n", "print(f\"Max error, with padding: {err_pad:.6e}\")\n", "\n", "# ------------------------------------------------------------\n", "# Plot\n", "# ------------------------------------------------------------\n", "fig, ax = plt.subplots()\n", "\n", "ax.plot(w, chi_1_analytic, label=\"analytic\")\n", "ax.plot(w, chi_1_numeric, \"--\", label=\"FFT, no padding\")\n", "ax.plot(w, chi_1_padded, \":\", label=\"FFT, zero padded\")\n", "\n", "ax.set_xlabel(r\"$\\omega$\")\n", "ax.set_ylabel(r\"$\\chi_1(\\omega)$\")\n", "ax.legend()\n", "ax.grid(True)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "python_env", "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": "3.13.15" } }, "nbformat": 4, "nbformat_minor": 5 }