{ "metadata": { "name": "AFMtip" }, "nbformat": 2, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": true, "input": [ "from scipy.special import jn" ], "language": "python", "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": true, "input": [ "from numpy.linalg import solve" ], "language": "python", "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": true, "input": [ "from scipy.optimize import fsolve" ], "language": "python", "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": true, "input": [ "from sympy.printing import latex" ], "language": "python", "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "source": [ "The problem solved here is the total current passing through an AFM tip at potential 1", "centered on a disk of radius 1 and height h. The radius of the contact region is a.", "The disk is grounded on the face opposite the contact. ", "", "The solution for the potential in the disk is represented as a series in", "Bessel functions, keeping N terms. Plots below representing the radial dependence", "of functions use M points. " ] }, { "cell_type": "code", "collapsed": true, "input": [ "N=200; M=201; h=0.05; a=0.02;" ], "language": "python", "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": true, "input": [ "def j1(x):", " return jn(1,x)" ], "language": "python", "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "source": [ "We need the zeros $\\alpha_n$ of the Bessel function $J_1$: they are essentially linearly spaced." ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha=[0];", "for j in range(1,N+1):", " alpha[len(alpha):]=[fsolve(j1,(j+1/4)*pi)];", " ", "plot(alpha)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 7, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAD9CAYAAABdoNd6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n" } ], "prompt_number": 7 }, { "cell_type": "markdown", "source": [ "An asymptotic version of the theory for small $a$ is perhaps the only one really ", "appropriate to the AFM tip. The Bessel series becomes an integral. The coefficients", "(called $\\overline{SA}$ below) are the solution to the integral equations", "", "", "$0\\sim \\frac{1}{\\pi}\\int_0^\\infty K(x,y)y\\coth(yh/a) \\overline{SA}(y)dy - x\\overline{SA}(x)$", "", "$\\sqrt{\\pi}\\frac{J_1(x)}{\\sqrt{x}}\\sim \\frac{1}{\\pi}\\int_0^\\infty K(x,y) \\overline{SA}(y)dy$", "", "with kernel $K$." ] }, { "cell_type": "code", "collapsed": true, "input": [ "xmax=80.; #must be floating point!", "x=linspace(0,xmax,N+1,endpoint=True);", "y=x;", "Kasymp=[];", "K0asymp=[];", "Casymp=[];", "for i in range(N): #i.e., 0,1,...,N-1", " xx=x[i+1];", " K0asymp.append(sqrt(2*pi)*jn(1,xx)/sqrt(xx));", " Crow=[];", " Krow=[];", " for j in range(N):", " if(i==j):", " Krow.append(pi/2*xx*(jn(0,xx)**2+jn(1,xx)**2));", " Crow.append((xx*h/a)/tanh(xx*h/a));", "", " else:", " yy=y[j+1];", " term1=(jn(0,xx)*jn(1,yy)-jn(0,yy)*jn(1,xx))/(yy-xx);", " term2=(jn(1,yy)*jn(0,xx)+jn(0,yy)*jn(1,xx))/(yy+xx);", " Krow.append(pi/2*sqrt(xx*yy)*(term1+term2));", " Crow.append(0);", " Kasymp.append(Krow);", " Casymp.append(Crow);", "Lasymp=np.dot(N*pi/xmax,eye(N)).__sub__(Kasymp);", " ", " ", " ", " ", " " ], "language": "python", "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "source": [ "The system of integral equations is solved using the discretized kernel Kasymp,", "found above, by the method of least squares (pseudo-inverse). The current I", "is proportional to the zeroth coefficient $A_0$ in the series representation,", "computed as $A_0/ah~$ and called SA0 in the next cell below, given by the formula", "", "$\\frac{A_0}{ah}\\sim\\frac{1}{\\pi}\\int_0^\\infty \\sqrt{2\\pi}\\frac{J_1(x)}{\\sqrt{x}}x\\coth(xh/a)\\overline{SA}(x)dx$", "", "The quantity 'check,' given by", "", "$\\frac{1}{\\sqrt{2}}\\sim\\frac{1}{\\pi}\\int_0^\\infty \\sqrt{2\\pi}\\frac{J_1(x)}{\\sqrt{x}}\\overline{SA}(x)\\,dx$", "", "should be $1/\\sqrt{2}\\approx 0.707$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "KasympIntOp=np.dot(Kasymp,xmax/N/pi);", "CasympIntOp=np.dot(Casymp,xmax/N/pi);", "LCSasympIntOp=np.dot(Lasymp,CasympIntOp);", "KopTimesKop=np.dot(KasympIntOp,KasympIntOp);", "LCSopTimesLCSop=np.dot(LCSasympIntOp.T,LCSasympIntOp);", "coeffs=np.add(KopTimesKop,LCSopTimesLCSop);", "SAasymp=solve(coeffs,np.dot(KasympIntOp,np.dot(K0asymp,1/sqrt(2))));", "SA0=np.dot(np.dot(np.dot(K0asymp,CasympIntOp),SAasymp),a/h);", "current=sqrt(2)*pi*a*SA0", "current_density=current/(pi*a*a)", "", "check=np.dot(np.dot(K0asymp,SAasymp),xmax/N/pi);", "print SA0,check,current, current_density" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1.08296574919 0.705301086517 0.0962298009934 76.5772425042" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(SAasymp)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD9CAYAAAC1DKAUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 10 }, { "cell_type": "markdown", "source": [ "In case $a$ is not too small, one can solve for the discrete coefficients $A_n$ in the", "series representation directly:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "J0a=[1]; J1a=[0]; J0R=[1];", "for j in range(1,N+1):", " #print j", " J0a.append(jn(0,alpha[j]*a));", " J1a.append(jn(1,alpha[j]*a));", " J0R.append(abs(jn(0,alpha[j]*1)));" ], "language": "python", "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "source": [ "The matrix of coefficients $K_{mn}$ is constructed:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "K=[];", "for i in range(0,N+1):", " Krow=[];", " if i==0:", " Krow.append(a**2);", " for j in range(1,N+1):", " Krow.append(2*a/(alpha[i]**2-alpha[j]**2)/J0R[i]/J0R[j]*(alpha[i]*J1a[i]*J0a[j]-alpha[j]*J0a[i]*J1a[j]));", " else:", " for j in range(0,i):", " Krow.append(2*a/(alpha[i]**2-alpha[j]**2)/J0R[i]/J0R[j]*(alpha[i]*J1a[i]*J0a[j]-alpha[j]*J0a[i]*J1a[j]));", " Krow.append(a**2*(J0a[i]**2+J1a[i]**2)/J0R[i]**2);", " for j in range (i+1,N+1):", " Krow.append(2*a/(alpha[i]**2-alpha[j]**2)/J0R[i]/J0R[j]*(alpha[i]*J1a[i]*J0a[j]-alpha[j]*J0a[i]*J1a[j]));", " K.append(Krow); ", " ", "L=eye(N+1).__sub__(K);" ], "language": "python", "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": true, "input": [ "S=zeros(np.shape(eye(N+1)))", "SCinv=zeros(np.shape(eye(N+1)))", "CSinv=zeros(np.shape(eye(N+1)))", "S[0][0]=1;", "SCinv[0][0]=1;", "CSinv[0][0]=1;", "for j in range(1,N+1):", " S[j][j]=sinh(alpha[j]*h);", " SCinv[j][j]=tanh(alpha[j]*h)/(alpha[j]*h);", " CSinv[j][j]=alpha[j]*h/tanh(alpha[j]*h);" ], "language": "python", "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "source": [ "The system is solved by least squares as before." ] }, { "cell_type": "code", "collapsed": false, "input": [ "KtimesK=np.dot(K,K);", "LCS=np.dot(L,CSinv);", "LCStimesLCS=np.dot(LCS.T,LCS);", "coeffs=np.add(KtimesK,LCStimesLCS);", "SA=solve(coeffs,np.dot(K,(1/sqrt(2))*ones(N+1)*K[0]));", "", "current=sqrt(2)*pi*SA[0]/h", "current_density=current/(pi*a*a)", "print SA[0]/a/h,current, current_density" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.962129606122 0.0854925842267 68.0328368869" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "", "plot(SA)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 15, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAD9CAYAAABA8iukAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAfc+1/gfCNLfAAAAAElFTkSuQmCC\n" } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": true, "input": [ "from pylab import *", "import matplotlib.pyplot as plt" ], "language": "python", "outputs": [], "prompt_number": 108 }, { "cell_type": "code", "collapsed": true, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "outputs": [], "prompt_number": 109 }, { "cell_type": "code", "collapsed": true, "input": [ "fig=plt.figure(figsize=(13,5))" ], "language": "python", "outputs": [], "prompt_number": 125 }, { "cell_type": "code", "collapsed": false, "input": [ "Karray=array(Kasymp)", "", "xasym,yasym=meshgrid(x[1:N+1],y[1:N+1])", "ax=fig.add_subplot(1,2,1)", "p=ax.pcolor(xasym,yasym, Karray,cmap=cm.RdBu, vmin=Karray.min(),vmax=Karray.max())", "ax2=fig.add_subplot(1,2,2,projection='3d')", "#p=ax2.plot_surface(xasym,yasym,Karray,cmap=cm.spectral,rstride=4, cstride=4, linewidth=0,vmin=Karray.min(),vmax=Karray.max())", "p=ax2.plot_surface(xasym,yasym,Karray,cmap=cm.RdBu,rstride=4, cstride=4, linewidth=0,vmin=Karray.min(),vmax=Karray.max())", "cb=fig.colorbar(p) ", "show() #nothing shows, for some reason. ", "display(fig)", "fig.savefig(\"Testfig.pdf\")" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAE1CAYAAACx58XBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBfH/AeYwuTybF+iHAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 128 }, { "cell_type": "code", "collapsed": false, "input": [ "shape(p)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 112, "text": [ "()" ] } ], "prompt_number": 112 }, { "cell_type": "code", "collapsed": false, "input": [ "print Kasymp[100][100]" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.992264859052" ] } ], "prompt_number": 114 }, { "cell_type": "code", "collapsed": false, "input": [ "Karray=array(Kasymp)" ], "language": "python", "outputs": [], "prompt_number": 62 }, { "cell_type": "code", "collapsed": false, "input": [ "type(Kasymp)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 53, "text": [ "list" ] } ], "prompt_number": 53 }, { "cell_type": "code", "collapsed": false, "input": [ "min(min(Kasymp))" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 55, "text": [ "-0.35869929242044518" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "fig2=plt.figure(figsize(2,2))", "ax2=fig2.add_axes([0,0,2,2]);", "ax2.plot(x[0:N],SAasymp)", "fig2.savefig(\"Testfig2.png\") #the saved figure is blank for some reason", "", "", "type(ax2)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 141, "text": [ "matplotlib.axes.Axes" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAU4AAAE+CAYAAADicfmoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIjgBwBHBCQCOCE4AcERwAoAjghMAHP0fJV7983N20ZUAAAAASUVORK5CYII=\n" } ], "prompt_number": 141 }, { "cell_type": "code", "collapsed": false, "input": [ "matplotlib.axes.Axes?" ], "language": "python", "outputs": [], "prompt_number": 138 }, { "cell_type": "code", "collapsed": true, "input": [ "plt.figure().savefig" ], "language": "python", "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "shape(SAasymp)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 80, "text": [ "(200,)" ] } ], "prompt_number": 80 }, { "cell_type": "code", "collapsed": true, "input": [], "language": "python", "outputs": [] } ] } ] }