Visualize vectors field with matplotlib & Latex legends. Taken from http://numbercrunch.de/blog/2013/05/visualizing-vector-fields/

vectors-field-latex.py

# import useful modules
import matplotlib
from numpy import *
from pylab import *

# use LaTeX, choose nice some looking fonts and tweak some settings
matplotlib.rc('font', family='serif')
matplotlib.rc('font', size=16)
matplotlib.rc('legend', fontsize=16)
matplotlib.rc('legend', numpoints=1)
matplotlib.rc('legend', handlelength=1.5)
matplotlib.rc('legend', frameon=False)
matplotlib.rc('xtick.major', pad=7)
matplotlib.rc('xtick.minor', pad=7)
matplotlib.rc('text', usetex=True)
matplotlib.rc('text.latex',
              preamble=[r'\usepackage[T1]{fontenc}',
                        r'\usepackage{amsmath}',
                        r'\usepackage{txfonts}',
                        r'\usepackage{textcomp}'])

close('all')
figure(figsize=(6, 4.5))

# generate grid
x=linspace(-2, 2, 32)
y=linspace(-1.5, 1.5, 24)
x, y=meshgrid(x, y)
# calculate vector field
vx=-y/sqrt(x**2+y**2)*exp(-(x**2+y**2))
vy= x/sqrt(x**2+y**2)*exp(-(x**2+y**2))
# plot vecor field
quiver(x, y, vx, vy, pivot='middle', headwidth=4, headlength=6)
xlabel('$x$')
ylabel('$y$')
axis('image')
#show()
savefig('visualization_vector_fields_1.png')