Files
simpeg/SimPEG/EM/Utils/EMUtils.py
T
Rowan Cockett e622dfb5cc Merge branch 'master' of https://github.com/simpeg/simpegem into em/dev
Conflicts:
	.coveragerc
	.gitignore
	.travis.yml
	docs/api_Utils.rst
	docs/conf.py
	docs/index.rst
	requirements.txt
	setup.py
2015-11-04 09:59:11 -08:00

50 lines
1.1 KiB
Python

import numpy as np
from scipy.constants import mu_0, epsilon_0
# useful params
def omega(freq):
"""Angular frequency, omega"""
return 2.*np.pi*freq
def k(freq, sigma, mu=mu_0, eps=epsilon_0):
""" Eq 1.47 - 1.49 in Ward and Hohmann """
w = omega(freq)
alp = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) + 1) )
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) - 1) )
return alp - 1j*beta
# Constitutive relations
def e_from_j(prob,j):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MSigmaI = prob.MeSigmaI
elif eqLocs is 'EF':
MSigmaI = prob.MfRho
return MSigmaI*j
def j_from_e(prob,e):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MSigma = prob.MeSigma
elif eqLocs is 'EF':
MSigma = prob.MfRhoI
return MSigma*e
def b_from_h(prob,h):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MMu = prob.MfMuiI
elif eqLocs is 'EF':
MMu = prob.MeMu
return MMu*h
def h_from_b(prob,b):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MMuI = prob.MfMui
elif eqLocs is 'EF':
MMuI = prob.MeMuI
return MMuI*b