def pml(size, delta, thickness=20.0, mode='TMz'):
"""creates a perfectly matched layer as surounding boundary conditions"""
# get patameter
sizeX, sizeY = size
deltaX, deltaY = delta
# crate material
shapeX, shapeY = int(sizeX / deltaX), int(sizeY / deltaY)
sigma = {
'electricX': numpy.zeros((shapeX, shapeY)),
'electricY': numpy.zeros((shapeX, shapeY)),
'magneticX': numpy.zeros((shapeX, shapeY)),
'magneticY': numpy.zeros((shapeX, shapeY))
}
mask = numpy.zeros((shapeX, shapeY))
# set constant
c = constants.mu_0 / constants.epsilon_0
# init PML
sigmaMax = -(3.0 + 1.0) * constants.epsilon_0 * constants.c \
* math.log(1.0e-5) / (2.0 * deltaX * thickness)
for n in range(0, int(thickness + 1.0), 1):
for j in range(0, int(shapeY), 1):
sigma['electricY'][n, j] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticY'][n, j] = sigmaMax \
* math.pow(float(thickness - n - 0.5) / thickness, 3.0) * c
mask[n, j] = 1.0
sigma['electricY'][shapeX - 1 - n, j] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticY'][shapeX - 1 - n, j] = sigmaMax \
* math.pow(float(thickness - n + 0.5) / thickness, 3.0) * c
mask[shapeX - 1 - n, j] = 1.0
for i in range(0, int(shapeX), 1):
sigma['electricX'][i, n] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticX'][i, n] = sigmaMax \
* math.pow(float(thickness - n - 0.5) / thickness, 3.0) * c
mask[i, n] = 1.0
sigma['electricX'][i, shapeY - 1 - n] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticX'][i, shapeY - 1 - n] = sigmaMax \
* math.pow(float(thickness - n + 0.5) / thickness, 3.0) * c
mask[i, shapeY - 1 - n] = 1.0
# create layer
electric = (Material.epsilon(1.0, sigma['electricX']),
Material.epsilon(1.0, sigma['electricY']))
magnetic = (Material.mu(1.0, sigma['magneticX']),
Material.mu(1.0, sigma['magneticY']))
return electric, magnetic, mask
def pml(size, delta, thickness=20.0, mode='TMz'):
"""creates a perfectly matched layer as surounding boundary conditions"""
# get patameter
sizeX, sizeY = size
deltaX, deltaY = delta
# crate material
shapeX, shapeY = int(sizeX / deltaX), int(sizeY / deltaY)
sigma = {
'electricX': numpy.zeros((shapeX, shapeY)),
'electricY': numpy.zeros((shapeX, shapeY)),
'magneticX': numpy.zeros((shapeX, shapeY)),
'magneticY': numpy.zeros((shapeX, shapeY))}
mask = numpy.zeros((shapeX, shapeY))
# set constant
c = constants.mu_0 / constants.epsilon_0
# init PML
sigmaMax = -(3.0 + 1.0) * constants.epsilon_0 * constants.c \
* math.log(1.0e-5) / (2.0 * deltaX * thickness)
for n in range(0, int(thickness + 1.0), 1):
for j in range(0, int(shapeY), 1):
sigma['electricY'][n, j] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticY'][n, j] = sigmaMax \
* math.pow(float(thickness - n - 0.5) / thickness, 3.0) * c
mask[n, j] = 1.0
sigma['electricY'][shapeX - 1 - n, j] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticY'][shapeX - 1 - n, j] = sigmaMax \
* math.pow(float(thickness - n + 0.5) / thickness, 3.0) * c
mask[shapeX - 1 - n, j] = 1.0
for i in range(0, int(shapeX), 1):
sigma['electricX'][i, n] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticX'][i, n] = sigmaMax \
* math.pow(float(thickness - n - 0.5) / thickness, 3.0) * c
mask[i, n] = 1.0
sigma['electricX'][i, shapeY - 1 - n] = sigmaMax \
* math.pow(float(thickness - n) / thickness, 3.0)
sigma['magneticX'][i, shapeY - 1 - n] = sigmaMax \
* math.pow(float(thickness - n + 0.5) / thickness, 3.0) * c
mask[i, shapeY - 1 - n] = 1.0
# create layer
electric = (Material.epsilon(1.0, sigma['electricX']),
Material.epsilon(1.0, sigma['electricY']))
magnetic = (Material.mu(1.0, sigma['magneticX']),
Material.mu(1.0, sigma['magneticY']))
return electric, magnetic, mask
def __init__(self, field, mode='TMz'):
# save arguments
self.field = field
self.mode = mode
# create sources
self.source = Material(field.size, field.delta)
# create listeners
self.listener = []
# create materials
self.material = {}
self.material['electric'] = Material(field.size, field.delta)
self.material['magnetic'] = Material(field.size, field.delta)
# add free space layer
self.material['electric'][:, :] = Material.epsilon()
self.material['magnetic'][:, :] = Material.mu()
# add pml layer
electric, magnetic, mask = pml(field.size, field.delta, mode=mode)
self.material['electric'][mask] = electric
self.material['magnetic'][mask] = magnetic
def __init__(self, field, mode='TMz'):
# save arguments
self.field = field
self.mode = mode
# create sources
self.source = Material(field.size, field.delta)
# create listeners
self.listener = []
# create materials
self.material = {}
self.material['electric'] = Material(field.size, field.delta)
self.material['magnetic'] = Material(field.size, field.delta)
# add free space layer
self.material['electric'][:, :] = Material.epsilon()
self.material['magnetic'][:, :] = Material.mu()
# add pml layer
electric, magnetic, mask = pml(field.size, field.delta, mode=mode)
self.material['electric'][mask] = electric
self.material['magnetic'][mask] = magnetic