meeting

Opezet bep.ipynb

@@ -158,6 +158,98 @@
     "        * Derivation of mason model\n",
     "4. Conclusion"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Table of contents Gary 14 June 11.00\n",
+    "\n",
+    "1. Introduction\n",
+    "    * Applications of acoustic resonators\n",
+    "        * One type HBar\n",
+    "    * Coupling HBars to qubits\n",
+    "    * Challenge: \n",
+    "        * increasing coupling to qubit\n",
+    "        * for that need tools to model\n",
+    "        * What is a good way to model the hbar in order to understand how to optimise the coupling?          \n",
+    "2. Theory on HBARs\n",
+    "    * text: Some basic explanation of what they are\n",
+    "    * Acoustic wave equation\n",
+    "        * Derivation stress strain etc. \n",
+    "    * Electromechanical coupling\n",
+    "        * The Piezoelectric effect\n",
+    "            * Direct piezoelectric effect\n",
+    "            * Indirect piezoelectric effect\n",
+    "    * Piezo-acoustic equations\n",
+    "        * Deriving coupled equations\n",
+    "        * Homogeneous case: can map to renormalised sound velocity\n",
+    "        * Inhomogeneous case: not so easy \n",
+    "    * Generalized eigenvalue problem  \n",
+    "3. Methods: Finite difference methods (NOT THE SIMULATION RESULTS!!!) \n",
+    "    * Acoustic wave model\n",
+    "        * Homogeneous acoustic material\n",
+    "        * Inhomogeneous material\n",
+    "    * Piezo-acoustic model\n",
+    "        * Coupled equations\n",
+    "        * Inhomogeneity\n",
+    "        * Matrices that result\n",
+    "    * Solving in python: \n",
+    "        * Construct matrices, use eig()\n",
+    "        * Challenges not yet address: efficiency and sparse matrices, hard for generalised eig value problem, but for now we will not worry about efficiency\n",
+    "        * Hermiticity + complex eigenvalues problem\n",
+    "3. Results (Physical interpretation of the simulations)\n",
+    "    * Uniform acoustic wave model\n",
+    "        * Plot a few Eigen modes, intepret what we see\n",
+    "        * Plot dispersion relation, compare to analytical model\n",
+    "    * Uniform piezo capacitor\n",
+    "        * Should be the same, as discussed in theory\n",
+    "        * Take braindead approach and solve with generalised eigvalue approach, does it work?\n",
+    "        * Yes (if we don't make any mistakes)\n",
+    "    * Non-uniform acoustic wave test case (50/50)\n",
+    "        * Show simulations of a mixed 50% one material simulation\n",
+    "            * Stiffness\n",
+    "            * Density\n",
+    "            * Stiffness and density\n",
+    "        * Should be able to interpret this\n",
+    "            * Different wavelength in the two regions\n",
+    "            * Dispersion relation no longer linear? \n",
+    "            * Confirm you get the right boundary conditions\n",
+    "    *  Non-unifrom piezoacoustic test case (50/50)\n",
+    "        * Only piezo coefficient changes\n",
+    "            * interpret\n",
+    "        * Piezo and acoustic parameters change \n",
+    "            * interpret\n",
+    "    * 1D piezo-acoustic simulation of an hbar\n",
+    "        * Full shebang (electrode - 1 um piezo - 500 um sapphire - electrode)\n",
+    "        * Results\n",
+    "        * Interpret\n",
+    "            * With help from Gary & Jasper: estimate qubit coupling maybe\n",
+    "        * Next step (see if we make it, otherwise outlook)\n",
+    "            * Hbar with electrode under piezo: how much better? \n",
+    "                * electrode - piezo - electrode - sapphire - electrode          \n",
+    "4. Conclusion & Outlook\n",
+    "    * Resummarize the project in 1 figure + 1 A4 max\n",
+    "    * Summarize outlook 1 figure + 1 a4"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The above is something we should be able to do with basically, hopefully, zero more work on coding (no new code, just fixing current code). \n",
+    "\n",
+    "And analyzing and communicating. The structure above should help with priority list. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x"
+   ]
   }
  ],
  "metadata": {
@@ -176,7 +268,20 @@
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+   "version": "3.8.8"
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