{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"toc_visible":true,"authorship_tag":"ABX9TyM3tCboLZG3T37Embt0nlCO"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":[""],"metadata":{"id":"7xCVeqojRVjE"}},{"cell_type":"markdown","source":[" The following notes written by Sergio Gutiérrez Rodrigo () . Distributed under License Creative Commons Atribución-NoComercial-CompartirIgual 4.0 Internacional"],"metadata":{"id":"tYZjdh8TvE7-"}},{"cell_type":"markdown","source":["```\n","Departamento de Física Aplicada\n","Universidad de Zaragoza\n","Instituto de Nanociencia y Materiales de Aragón (INMA)\n","C/ Pedro Cerbuna, 12, 50009, Zaragoza, España\n","```\n","\n","\n","\n","\n"],"metadata":{"id":"j2H5UHGe1Uf8"}},{"cell_type":"markdown","source":["---\n","# **Óptica - Tema 9 - Fabry-Perot resonances**\n","\n","---"],"metadata":{"id":"D7vYGeB21ZQU"}},{"cell_type":"markdown","source":[""],"metadata":{"id":"6QASbhi6RqkS"}},{"cell_type":"markdown","source":[""],"metadata":{"id":"xvLE0Ls90utP"}},{"cell_type":"markdown","source":["# Define the intensities"],"metadata":{"id":"SaoB0iW2RxJq"}},{"cell_type":"code","source":["import numpy as np\n","\n","# Define the functions\n","def I_T(n,e,theta, lambda_vac, rho):\n"," '''\n"," Transmittance as a function of the wavelength of the light (lambda_vac),\n"," refractive indes of the dielectric film (n), its thicknesses (e), the angle of\n"," incidence of the light beam (theta) and the reflection coefficient (rho) from\n"," light going from inside to outside the film\n"," '''\n"," theta_p=np.arcsin(np.sin(theta)/n) # Angle of refraction from incident angle\n"," delta=4.0*np.pi*n*e*np.cos(theta_p)/lambda_vac\n"," F=4.0*rho**2/(1-rho**2)**2\n"," return 1.0/(1.0+F*np.sin(delta/2)**2)"],"metadata":{"id":"duBQ0vPgc1Ny","executionInfo":{"status":"ok","timestamp":1703847184650,"user_tz":-60,"elapsed":8,"user":{"displayName":"SERGIO GUTIERREZ RODRIGO","userId":"07959720391705098820"}}},"execution_count":1,"outputs":[]},{"cell_type":"markdown","source":["# Fabry-Perot resonances as a function of the wavelength"],"metadata":{"id":"BTUPWQ3q91br"}},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","\n","n=1.57\n","e=400.0#nm\n","theta=0.0*np.pi/180.0 # angle of incidence (rad)\n","rho=((1-n)/(n+1))**1 #0.9\n","print(rho)\n","\n","lambda_vac=np.linspace(200.0,1200.0,300)\n","It=I_T(n,e,theta, lambda_vac, rho)\n","\n","\n","plt.plot(lambda_vac,It,color='red',linestyle='-',alpha=0.5,label='Fabry-Perot')\n","plt.xlabel(r'$\\lambda (nm)$')\n","plt.ylabel(r'$I_T/I_i$')\n","plt.legend()\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":469},"id":"T6kV4SKNTPij","executionInfo":{"status":"ok","timestamp":1703847371791,"user_tz":-60,"elapsed":433,"user":{"displayName":"SERGIO GUTIERREZ RODRIGO","userId":"07959720391705098820"}},"outputId":"f8cd3e28-2c96-4fd6-ccfa-973384e22552"},"execution_count":6,"outputs":[{"output_type":"stream","name":"stdout","text":["-0.22178988326848248\n"]},{"output_type":"display_data","data":{"text/plain":[""],"image/png":"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\n"},"metadata":{}}]}]}