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  {
   "cell_type": "markdown",
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   "source": [
    "# Rescale and shift waveform\n",
    "\n",
    "Objects from `thztools`: `scaleshift`, `timebase`, `wave`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import thztools as thz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set the simulation parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 256  # Number of samples\n",
    "dt = 0.05  # Sampling time [ps]\n",
    "a = 0.5 # Scale factor\n",
    "eta = 1.0 # Delay [ps]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate input and output waveforms\n",
    "\n",
    "Use `wave` to generate a terahertz time-domain waveform `mu` with `n = 256` samples, then use `scaleshift` to generate a second waveform `psi` that is rescaled by a factor `a` and delayed by `eta`. The `timebase` function returns the timebase for both waves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = thz.timebase(n, dt=dt)\n",
    "mu = thz.wave(n, dt=dt)\n",
    "psi = thz.scaleshift(mu, dt=dt, a=a, eta=eta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show the input and output waveforms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, ax = plt.subplots()\n",
    "\n",
    "ax.plot(t, mu, label=r'$\\mu$')\n",
    "ax.plot(t, psi, label=r'$\\psi$')\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Time (ps)')\n",
    "ax.set_ylabel(r'Amplitude (units of $\\mu_{p})$')\n",
    "\n",
    "ax.set_xticks(np.arange(0, 11, 5))\n",
    "ax.set_xlim(0, 10)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
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