{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12.466637514245212\n", "31.6227766017 354806.723778\n", "4.44152247719 3.73175448737\n" ] } ], "source": [ "g = 10\n", "h = 100\n", "L = 250e3\n", "K = 0.8e-3\n", "omega = 1.4e-4\n", "period = 2*np.pi/omega\n", "print (period/3600.)\n", "A = 20\n", "co = np.sqrt(g*h)\n", "wavelength = co*period\n", "print (co, wavelength/4.)\n", "fric_r = np.sqrt(1+(K + 2*A/L**2)**2/omega**2) * np.cos(0.5*np.arctan2(K+2*A/L**2,omega))\n", "fric_i = np.sqrt(1+(K + 2*A/L**2)**2/omega**2) * np.sin(0.5*np.arctan2(K+2*A/L**2,omega))\n", "tr = fric_r*omega/co\n", "ti = fric_i*omega/co\n", "x = np.arange(-250e3,0+1e3,1e3)\n", "eta0 = 0.5\n", "print (fric_r, fric_i)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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0pk31lc8SJTJ8iGxTPTJZKw8PPvrvP/I0roRjbkdubb2Fp6+ntZslhBB259o1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 2*np.pi/wavelength\n", "fig, ax = plt.subplots(1,3,figsize=(15,5))\n", "for t in np.arange(0,np.pi/omega,np.pi/8./omega):\n", " eta = eta0 * np.exp(-x*ti) * np.cos(x*tr-omega*t) \\\n", " + eta0 * np.exp(x*ti) * np.cos(-x*tr-omega*t) \n", " etar = ( eta0 * np.cos(x*tr - omega*t)\n", " + eta0 *np.cos(-x*tr - omega*t) )\n", " etafree = ( eta0 * np.cos(x*k - omega*t)\n", " + eta0 *np.cos(-x*k - omega*t) )\n", " ax[0].plot(x,eta)\n", " ax[1].plot(x,etafree)\n", " ax[2].plot(x,etar)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-78.3358443262 0.032163894351\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "etac = eta0 * (np.exp(-x*ti) * np.cos(x*tr) + \n", " np.exp(x*ti) * np.cos(-x*tr))\n", "etas = eta0 * (np.exp(-x*ti) * np.sin(x*tr) +\n", " np.exp(x*ti) * np.sin(-x*tr))\n", "amp = np.sqrt(etac**2+etas**2)\n", "pha = np.arctan2(etas,etac)\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot(1,2,1)\n", "plt.plot(x,amp)\n", "plt.subplot(1,2,2)\n", "plt.plot(x,pha*180./np.pi)\n", "print ((pha[-1]-pha[0])*180./np.pi, amp[-1]/amp[0])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "14.876117818 1.07045561956\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x0 = -50e3\n", "x = np.arange(-150e3,-50e3,2e3)\n", "h2=150.\n", "nk = omega/np.sqrt(g*h2)\n", "etac = eta0 * (np.exp(-x0*ti) * np.cos(x*nk) + \n", " np.exp(x0*ti) * np.cos(-x*nk))\n", "etas = eta0 * (np.exp(-x0*ti) * np.sin(x*nk) +\n", " np.exp(x0*ti) * np.sin(-x*nk))\n", "amp = np.sqrt(etac**2+etas**2)\n", "pha = np.arctan2(etas,etac)\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot(1,2,1)\n", "plt.plot(x,amp)\n", "plt.subplot(1,2,2)\n", "plt.plot(x,pha*180./np.pi)\n", "print ((pha[-1]-pha[0])*180./np.pi, amp[-1]/amp[0])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }