{"cells":[{"cell_type":"markdown","id":"b51d0323","metadata":{"id":"b51d0323"},"source":["# Active metasurface simulation"]},{"cell_type":"markdown","id":"f1e95c61","metadata":{"id":"f1e95c61"},"source":["In this notebook we show how to calculate the dispersion and properties of an active metasurface, i.e. sustaining an excitonic response. Excitons are electron-hole buond states that interact with light. If the interaction strength overcomes the photonic and excitonic losses, a new excited state is formed: the polariton. The theory of exciton-photon coupling leading to the formation to poalritons is developed in this [paper](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.106.115424)."]},{"cell_type":"code","execution_count":1,"id":"c0963ad4","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":19,"status":"ok","timestamp":1708279844465,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"c0963ad4","outputId":"0ff2701a-5a43-43d0-b4f1-0759d75e6da5","scrolled":true},"outputs":[{"name":"stdout","output_type":"stream","text":["legume version: 1.0.0\n"]}],"source":["import legume\n","from legume import viz\n","import numpy as np\n","import copy\n","import matplotlib.pyplot as plt\n","print(f\"legume version: {legume.__version__}\")"]},{"cell_type":"markdown","id":"352ee242","metadata":{"id":"352ee242"},"source":["## Photonic structure simulation"]},{"cell_type":"markdown","id":"ddb80d07","metadata":{"id":"ddb80d07"},"source":["As an example, we take a pervoskite-based metasurfaced recently studied, see N.H.M. Dang et al., Advance Optical Materials (2020). It consist of a SiO$_2$ core with etched air holes where a pervoskite material (PEPI) is inflitrated. The PEPI is the active material that sustains excitonic states. A residual PEPI layer lies on top of the etched region. Finally, the device is encapsulated with a polymer (PMMA) layer as depicted in the figure.\n","\n","![](img/PEPI_white.png)"]},{"cell_type":"markdown","id":"dc765eee","metadata":{"id":"dc765eee"},"source":["We start by defining the structure and calculating the purely photonic properties. We start by defining the main structural parameters."]},{"cell_type":"code","execution_count":2,"id":"b749a36e","metadata":{"id":"b749a36e"},"outputs":[],"source":["# lattice constant [nm]\n","a = 330\n","# Thicknesses of all layers\n","t_PMMA,t_PEPI,t_etch = 200/a, 30/a, 170/a\n","# Permettivity of all materials\n","eps_SiO2,eps_PEPI,eps_PMMA = 1.48**2,2.4**2 ,1.49**2\n","r = 0.2  # radius\n","gmax=6.1"]},{"cell_type":"markdown","id":"0f0b3448","metadata":{"id":"0f0b3448"},"source":["In the first calculations round, we just the purely photonics properties. To do so, we initialize the photonic crystal slab."]},{"cell_type":"code","execution_count":3,"id":"712e7431","metadata":{"id":"712e7431"},"outputs":[],"source":["lattice_type = 'square'\n","lattice = legume.Lattice(lattice_type)\n","\n","phc = legume.PhotCryst(lattice,eps_l=eps_SiO2)\n","\n","phc.add_layer(d=t_etch, eps_b=eps_SiO2)\n","phc.add_layer(d=t_PEPI, eps_b=eps_PEPI)\n","phc.add_layer(d=t_PMMA, eps_b=eps_PMMA)\n","\n","phc.layers[-3].add_shape(legume.Circle(eps=eps_PEPI, r=r))"]},{"cell_type":"markdown","id":"864f5ab5","metadata":{"id":"864f5ab5"},"source":["To better compare with experimental data, we calculate the dispersion in the same wavevector range as in the paper: $k\\in[-4,4]\\mu\\text{m}^{-1}$. In `legume` notation, wavevectors are in units of $k_{\\text{leg}}=ka$, with $k$ and $a$ the wavevector and the lattice constant in [m]"]},{"cell_type":"code","execution_count":4,"id":"5cdef557","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":54707,"status":"ok","timestamp":1708279899161,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"5cdef557","outputId":"0e17a5eb-c4ae-46a4-cf7c-b61d3d0b0c01"},"outputs":[{"name":"stdout","output_type":"stream","text":["Running gme k-points: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃<span style=\"font-weight: bold\">                 % vs total T </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Guided modes computation with gmode_compute='</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">exact</span><span style=\"color: #008080; text-decoration-color: #008080\">'        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 15.369   </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │████████████--------│   63% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Inverse matrix of Fourier-space permittivity               </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.002    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │--------------------│    0% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Matrix diagionalization using the '</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">eigh</span><span style=\"color: #008080; text-decoration-color: #008080\">' solver            </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 1.678    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │█-------------------│    7% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Creating GME matrix                                        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 7.448    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │██████--------------│   30% </span>│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for real part of frequencies for 61 k-points    </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">24.529</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">   </span>│<span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\"> │████████████████████│  100% </span>│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m                % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m15.369  \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│   63%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m              \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.002   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│    0%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m           \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.678   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│    7%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m                                       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m7.448   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│██████--------------│   30%\u001b[0m\u001b[32m \u001b[0m│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 61 k-points\u001b[0m\u001b[1;36m   \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m24.529\u001b[0m\u001b[1;35m  \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│  100%\u001b[0m\u001b[1;32m \u001b[0m│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Running GME losses k-point: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes      </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for imaginary part of frequencies for 488 eigenmodes </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">5.032</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">    </span>│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m     \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 488 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m5.032\u001b[0m\u001b[1;35m   \u001b[0m\u001b[1;35m \u001b[0m│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n"]},"metadata":{},"output_type":"display_data"}],"source":["k_dim_max = 4 # um^-1\n","k_max = k_dim_max*a/1000   # Dimensionless maximum wavevector\n","num_k = 30\n","path = lattice.bz_path([[-k_max,1e-15],\"G\",[k_max,0]],[num_k])\n","gme_options = {'gmode_inds':[0,1,2,3],\n","        'numeig':8,\n","        'verbose':True}\n","gme = legume.GuidedModeExp(phc,gmax=gmax)\n","gme.run(kpoints=path['kpoints'],**gme_options)"]},{"cell_type":"code","execution_count":5,"id":"9658e8c1","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":379},"executionInfo":{"elapsed":487,"status":"ok","timestamp":1708279899637,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"9658e8c1","outputId":"47b5d974-0c59-4d59-ab52-fc79e2995090","scrolled":true},"outputs":[{"data":{"text/plain":["(2.0, 2.6)"]},"execution_count":5,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["<Figure size 400x350 with 1 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots(1, figsize = (4, 3.5))\n","legume.viz.bands(gme,ax=ax,a=a*1e-9,eV=True)\n","ax.set_xticks(path['indexes'])\n","ax.set_xticklabels([f\"{k_dim_max}\",\"0\",f\"{k_dim_max}\"])\n","ax.set_xlabel(\"Wavector ($\\\\mu$m$^{-1}$)\")\n","ax.set_ylim(2,2.6)"]},{"cell_type":"markdown","id":"2cba23b7","metadata":{"id":"2cba23b7"},"source":["These bands won't compare well with experimental data since the the excitation light is s-(TE) polarized. For a direct comparison, we recalculate only the odd modes with respect the vertical plane of symmetry. Under the diffraction limit, these modes correspond to the one excited by an s-polarized pump."]},{"cell_type":"code","execution_count":6,"id":"291c58a5","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":52441,"status":"ok","timestamp":1708279952069,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"291c58a5","outputId":"30b629a8-5ff9-4c85-d786-5e89a6b30a65"},"outputs":[{"name":"stdout","output_type":"stream","text":["Running gme k-points: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃<span style=\"font-weight: bold\">                 % vs total T </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Guided modes computation with gmode_compute='</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">exact</span><span style=\"color: #008080; text-decoration-color: #008080\">'        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 15.364   </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │████████████--------│   63% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Inverse matrix of Fourier-space permittivity               </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.000    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │--------------------│    0% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Matrix diagionalization using the '</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">eigh</span><span style=\"color: #008080; text-decoration-color: #008080\">' solver            </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.395    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │--------------------│    2% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Creating GME matrix                                        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 7.160    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │█████---------------│   30% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Creating change of basis matrix using </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">dense</span><span style=\"color: #008080; text-decoration-color: #008080\"> matrices       </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 1.243    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │█-------------------│    5% </span>│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for real part of frequencies for 61 k-points    </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">24.201</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">   </span>│<span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\"> │████████████████████│  100% </span>│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m                % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m15.364  \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│   63%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m              \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.000   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│    0%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m           \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.395   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│    2%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m                                       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m7.160   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│   30%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mCreating change of basis matrix using \u001b[0m\u001b[1;36mdense\u001b[0m\u001b[36m matrices\u001b[0m\u001b[36m      \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.243   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│    5%\u001b[0m\u001b[32m \u001b[0m│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 61 k-points\u001b[0m\u001b[1;36m   \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m24.201\u001b[0m\u001b[1;35m  \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│  100%\u001b[0m\u001b[1;32m \u001b[0m│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Running GME losses k-point: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes      </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for imaginary part of frequencies for 488 eigenmodes </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">5.930</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">    </span>│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m     \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 488 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m5.930\u001b[0m\u001b[1;35m   \u001b[0m\u001b[1;35m \u001b[0m│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n"]},"metadata":{},"output_type":"display_data"}],"source":["gme_options = {'gmode_inds':[0,1,2,3],\n","        'numeig':8,\n","        'verbose':True,\n","        'kz_symmetry': \"odd\",\n","        'angles':path['angles']}\n","gme.run(kpoints=path['kpoints'],**gme_options)"]},{"cell_type":"code","execution_count":7,"id":"5dec8d11","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":379},"executionInfo":{"elapsed":30,"status":"ok","timestamp":1708279952550,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"5dec8d11","outputId":"4817eeaa-a0f7-4ac5-ad5d-927b47ab89ce","scrolled":false},"outputs":[{"data":{"text/plain":["(2.0, 2.6)"]},"execution_count":7,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["<Figure size 400x350 with 1 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots(1, figsize = (4, 3.5))\n","legume.viz.bands(gme,ax=ax,a=a*1e-9,eV=True)\n","ax.set_xticks(path['indexes'])\n","ax.set_xticklabels([f\"{k_dim_max}\",\"0\",f\"{k_dim_max}\"])\n","ax.set_xlabel(\"Wavector ($\\\\mu$m$^{-1}$)\")\n","ax.set_ylim(2,2.6)"]},{"cell_type":"markdown","id":"77036300","metadata":{"id":"77036300"},"source":["## Excitons in legume"]},{"cell_type":"markdown","id":"f29aee77","metadata":{"id":"f29aee77"},"source":["Before delving into polaritonic simulations, it's essential to understand the foundational concept of excitons within the Legume code. Excitons are quasiparticles formed by bound electron-hole states. The binding energy of excitons can be notably influenced in systems where excitons experience confinement along a specific direction. Examples of such systems include semiconductor quantum wells, perovskites, or monolayers of transition metal dichalcogenides."]},{"cell_type":"markdown","id":"3a99d3d5","metadata":{"id":"3a99d3d5"},"source":["In the context of `legume`, excitons are treated as being perfectly confined within a 2D plane. The dynamics of excitons are calculated by solving the 2D Schrödinger equation. Analogous to how photons in periodically patterned Photonic Crystals (PhCs) feel a periodic potential, excitons also experience a periodic potential when the 2D layer is patterned.\n","For instance, holes etched in a quantum well layer act as barriers for the excitonic wavefunction. Conversely, a pillar of perovskite provides a potential well where excitons can exist. This potential alters the dispersion relation and the wavefunction of free excitons."]},{"cell_type":"markdown","id":"ad1812fd","metadata":{"id":"ad1812fd"},"source":["## Setting up ExcitonSchroedEq Simulation"]},{"cell_type":"markdown","id":"0d88099a","metadata":{"id":"0d88099a"},"source":["To investigate the impact of a potential on excitonic eigenmodes, we initiate an `ExcitonSchroedEq` simulation.\n","We start by defining some excitonic parameters: the bare exciton energy $E_0$ epressed in eV, the excitonic mass $M$ in kg and the non-radiative losses of excitons ``loss`` in eV. For the mass, we can take a fraction of the free electron mass $m_e$ from `legume.constant` module."]},{"cell_type":"code","execution_count":8,"id":"c4a7ff0e","metadata":{"id":"c4a7ff0e"},"outputs":[],"source":["M = legume.constants.m_e*0.2\n","E0 = 2.394\n","loss = 5*10**-4 #[eV]"]},{"cell_type":"markdown","id":"4dac5f24","metadata":{"id":"4dac5f24"},"source":["Before running the simulation, we have to specify few other parameters. Firsst of all, the `z`-position, determining the location of the 2D simulation. This will define the layer of the `phc` from which we `ShapesLayer` objects are taken, subsequently characterizing the in-plane potential. Each of these `ShapesLayer` objects is associated with a potential `V_shapes` with respect to a background at null potential. In the present example, we want to simulate PEPI pillars where excitons can dwell. Consequently, a negative (attractive) potential, `V_shapes`=-1, is configured to appropriately model this scenario."]},{"cell_type":"code","execution_count":9,"id":"0193b746","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":861,"status":"ok","timestamp":1708279953391,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"0193b746","outputId":"0c1ac4a0-6e99-4d0f-9be1-a90591ea3e9c"},"outputs":[{"name":"stdout","output_type":"stream","text":["Running ESE k-point: │------------------------------│ 2 of 61"]},{"name":"stdout","output_type":"stream","text":["Running ESE k-point: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in ExcitonSchroedEq: 121 plane waves        </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃<span style=\"font-weight: bold\"> % vs total T </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Diagonalization of the Hamiltonian                </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.0819   </span>│<span style=\"color: #008000; text-decoration-color: #008000\">          62% </span>│\n","├───────────────────────────────────────────────────┼──────────┼──────────────┤\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for excitonic energies for 61 k-points </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">0.1328</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">   </span>│<span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">         100% </span>│\n","└───────────────────────────────────────────────────┴──────────┴──────────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in ExcitonSchroedEq: 121 plane waves\u001b[0m\u001b[1m       \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m% vs total T\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━┩\n","│\u001b[36m \u001b[0m\u001b[36mDiagonalization of the Hamiltonian\u001b[0m\u001b[36m               \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.0819  \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m         62%\u001b[0m\u001b[32m \u001b[0m│\n","├───────────────────────────────────────────────────┼──────────┼──────────────┤\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for excitonic energies for 61 k-points\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m0.1328\u001b[0m\u001b[1;35m  \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m        100%\u001b[0m\u001b[1;32m \u001b[0m│\n","└───────────────────────────────────────────────────┴──────────┴──────────────┘\n"]},"metadata":{},"output_type":"display_data"}],"source":["exc_options = {'numeig_ex':8,\n","        'verbose_ex':True}\n","V = -1 # Negative potential for PEPI pillars\n","z = phc.layers[0].z_mid # center of the layer with pillar\n","exc_pill = legume.ExcitonSchroedEq(phc,z=z,V_shapes=V,a=a,M=M,E0=E0,loss= loss,\\\n","                                gmax=gmax,truncate_g='abs')\n","exc_pill.run(kpoints=path[\"kpoints\"], **exc_options)"]},{"cell_type":"markdown","id":"abe742a6","metadata":{"id":"abe742a6"},"source":["We can begin by examining the real-space potential derived from the Fourier components employed in the computation, along with exploring the quantized excitonic bands. These bands are very flattened indicating excitonic modes extremely confined in the pillars."]},{"cell_type":"code","execution_count":10,"id":"c19a3119","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":793},"executionInfo":{"elapsed":1592,"status":"ok","timestamp":1708279954978,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"c19a3119","outputId":"898c96fb-3a54-4994-e284-a8657e92694a","scrolled":false},"outputs":[{"data":{"image/png":"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size 400x320 with 2 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","text/plain":["<Figure size 640x480 with 1 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["legume.viz.pot_ft(exc_pill)\n","plt.show()\n","fig,ax = plt.subplots()\n","for ind,e in enumerate(exc_pill.eners):\n","        ax.scatter([ind]*8,np.real(e) ,c=\"C0\",s=4 )\n","ax.set_xticks(path['indexes'])\n","ax.set_xticklabels([f\"{k_dim_max}\",\"0\",f\"{k_dim_max}\"])\n","ax.set_xlabel(\"Wavavector ($\\\\mu$m$^{-1}$)\")\n","ax.set_ylabel(\"Energy (eV)\")\n","ax.set_ylim(2.3,2.5)\n","plt.show()"]},{"cell_type":"markdown","id":"2efa38cf","metadata":{"id":"2efa38cf"},"source":["Finally, we can exploit `viz.wavef` to plot the wavefunction of modes. Specifically, we plot the wavefunctions associated with the lowest and fourth bands."]},{"cell_type":"code","execution_count":11,"id":"e4d2939f","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":999},"executionInfo":{"elapsed":1399,"status":"ok","timestamp":1708279956367,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"e4d2939f","outputId":"166ab1c9-2e31-4a34-fed5-65ddbda5d833"},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure 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","text/plain":["<Figure size 640x480 with 2 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["plot1 = legume.viz.wavef(exc_pill,\n","    kind=num_k,\n","    mind=0,\n","    val=\"abs2\",\n","    cbar=True,)\n","plot2= legume.viz.wavef(exc_pill,\n","    kind=num_k,\n","    mind=3,\n","    val=\"re\",\n","    cbar=True,)"]},{"cell_type":"markdown","id":"7dd99ee8","metadata":{"id":"7dd99ee8"},"source":["## Polaritonic simulation"]},{"cell_type":"markdown","id":"1dd669d4","metadata":{"id":"1dd669d4"},"source":["So far, we've computed the photonic and excitonic properties separately. Now, it's time to turn on light-matter interaction! Everything is handled by `legume`, all we need to do is to add 2D active layers to the `PhotCryst`. We can do that with the `add_qw` method. Additionally to what we did with the `ExcitonSchroedEq` simulation, here we have to provide the vecotrial oscillator strength in the excitonic resonance in the $[x,y,z]$ frame of reference. For each $z$-position, we place two active well layers with either purely $\\hat{x}$- and $\\hat{y}$-polarized."]},{"cell_type":"code","execution_count":12,"id":"d779c577","metadata":{"id":"d779c577"},"outputs":[],"source":["osc_str_x = 2*10**19*np.array([1,0,0]) # Oscillator strength per unit per unit surface [m^-2]\n","osc_str_y = 2*10**19*np.array([0,1,0])\n","\n","# Biuld the PhC\n","phc = legume.PhotCryst(lattice,eps_l=eps_SiO2)\n","phc.add_layer(d=t_etch, eps_b=eps_SiO2)\n","phc.add_layer(d=t_PEPI, eps_b=eps_PEPI)\n","phc.add_layer(d=t_PMMA, eps_b=eps_PMMA)\n","phc.layers[0].add_shape(legume.Circle(eps=eps_PEPI, r=r))\n","\n","# Add active layers\n","phc.add_qw(z=phc.layers[0].z_mid,V_shapes=-1,a=a*1e-9,M=M,E0=E0,loss=loss,\\\n","                                osc_str=osc_str_x)\n","phc.add_qw(z=phc.layers[0].z_mid,V_shapes=-1,a=a*1e-9,M=M,E0=E0,loss= loss,\\\n","                                osc_str=osc_str_y)\n","phc.add_qw(z=phc.layers[1].z_mid,V_shapes=-1,a=a*1e-9,M=M,E0=E0,loss= loss,\\\n","                                osc_str=osc_str_x)\n","phc.add_qw(z=phc.layers[1].z_mid,V_shapes=-1,a=a*1e-9,M=M,E0=E0,loss= loss,\\\n","                                osc_str=osc_str_y)"]},{"cell_type":"code","execution_count":13,"id":"ca28d6e2","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":64688,"status":"ok","timestamp":1708280021414,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"ca28d6e2","outputId":"5a102242-dd99-476f-de9f-7d4f2f1ce11c","scrolled":false},"outputs":[{"name":"stdout","output_type":"stream","text":["Running gme k-points: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃<span style=\"font-weight: bold\">                 % vs total T </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Guided modes computation with gmode_compute='</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">exact</span><span style=\"color: #008080; text-decoration-color: #008080\">'        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 15.137   </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │████████████--------│   64% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Inverse matrix of Fourier-space permittivity               </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.001    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │--------------------│    0% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Matrix diagionalization using the '</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">eigh</span><span style=\"color: #008080; text-decoration-color: #008080\">' solver            </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 0.381    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │--------------------│    2% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Creating GME matrix                                        </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 7.065    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │█████---------------│   30% </span>│\n","│<span style=\"color: #008080; text-decoration-color: #008080\"> Creating change of basis matrix using </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">dense</span><span style=\"color: #008080; text-decoration-color: #008080\"> matrices       </span>│<span style=\"color: #800080; text-decoration-color: #800080\"> 1.218    </span>│<span style=\"color: #008000; text-decoration-color: #008000\"> │█-------------------│    5% </span>│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for real part of frequencies for 61 k-points    </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">23.836</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">   </span>│<span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\"> │████████████████████│  100% </span>│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m                % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n","│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m15.137  \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│   64%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m              \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.001   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│    0%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m           \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.381   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│    2%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m                                       \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m7.065   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│   30%\u001b[0m\u001b[32m \u001b[0m│\n","│\u001b[36m \u001b[0m\u001b[36mCreating change of basis matrix using \u001b[0m\u001b[1;36mdense\u001b[0m\u001b[36m matrices\u001b[0m\u001b[36m      \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.218   \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│    5%\u001b[0m\u001b[32m \u001b[0m│\n","├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 61 k-points\u001b[0m\u001b[1;36m   \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m23.836\u001b[0m\u001b[1;35m  \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│  100%\u001b[0m\u001b[1;32m \u001b[0m│\n","└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Running GME losses k-point: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in GuidedModeExp: 121 plane waves and 4 guided modes      </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for imaginary part of frequencies for 488 eigenmodes </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">5.897</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">    </span>│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 121 plane waves and 4 guided modes\u001b[0m\u001b[1m     \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 488 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m5.897\u001b[0m\u001b[1;35m   \u001b[0m\u001b[1;35m \u001b[0m│\n","└─────────────────────────────────────────────────────────────────┴──────────┘\n"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Running HP k-points: │██████████████████████████████│ 61 of 61\r"]},{"data":{"text/html":["<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃<span style=\"font-weight: bold\"> Steps in HopfieldPol: 8 photonic modes, 4 active layers with 8 excitonic modes </span>┃<span style=\"font-weight: bold\"> Time (s) </span>┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\"> Total time for matrix calculation and diagonalization for 61 k-points          </span>│<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> </span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold; text-decoration: underline\">4.7937</span><span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">   </span>│\n","└────────────────────────────────────────────────────────────────────────────────┴──────────┘\n","</pre>\n"],"text/plain":["┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n","┃\u001b[1m \u001b[0m\u001b[1mSteps in HopfieldPol: 8 photonic modes, 4 active layers with 8 excitonic modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n","┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n","│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for matrix calculation and diagonalization for 61 k-points\u001b[0m\u001b[1;36m         \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m4.7937\u001b[0m\u001b[1;35m  \u001b[0m\u001b[1;35m \u001b[0m│\n","└────────────────────────────────────────────────────────────────────────────────┴──────────┘\n"]},"metadata":{},"output_type":"display_data"}],"source":["exc_options[\"verbose_ex\"] = False\n","pol = legume.HopfieldPol(phc,gmax)\n","pol.run(kpoints=path['kpoints'],gme_options=gme_options,exc_options=exc_options)"]},{"cell_type":"markdown","id":"8762239d","metadata":{"id":"8762239d"},"source":["Finally, we can plot the polaritonic bands with `viz.pol_bands`, where the excitonic fraction is encoded with a colorscale. Blue modes correspond to mostly photonic modes, on the contrary reddish modes correspond to moslty excitonic polaritons."]},{"cell_type":"code","execution_count":14,"id":"b9af36f6","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":356},"executionInfo":{"elapsed":536,"status":"ok","timestamp":1708280021937,"user":{"displayName":"SIMONE ZANOTTI","userId":"14051006727806237496"},"user_tz":-60},"id":"b9af36f6","outputId":"d0eca891-832a-4042-8951-13e083e8c9ff","scrolled":true},"outputs":[{"data":{"text/plain":["(2.0, 2.35)"]},"execution_count":14,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["<Figure size 300x320 with 2 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots(1, figsize = (3, 3.2))\n","legume.viz.pol_bands(pol,fraction=True,ax=ax)\n","ax.set_xticks(path['indexes'])\n","ax.set_xticklabels([f\"{-k_dim_max}\",\"0\",f\"{k_dim_max}\"])\n","ax.set_xlabel(\"Wavavector ($\\\\mu$m$^{-1}$)\")\n","plt.ylim(2.,2.35)"]}],"metadata":{"colab":{"provenance":[]},"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":"3.11.5"}},"nbformat":4,"nbformat_minor":5}