def createSiliconPotentialOnlyContact(device, region, contact):
bias_name = "%sbias" % contact
format_dict = {"contact": contact}
devsim.set_parameter(device=device,
region=region,
name=bias_name,
value=0.0)
for name, equation in (
("celec_%(contact)s",
"1e-10 + 0.5*abs(NetDoping+(NetDoping^2 + 4 * n_i^2)^(0.5))"),
("chole_%(contact)s",
"1e-10 + 0.5*abs(-NetDoping+(NetDoping^2 + 4 * n_i^2)^(0.5))"),
("%(contact)snodemodel", '''
ifelse(NetDoping > 0,
Potential-%(contact)sbias-V_t*log(celec_%(contact)s/n_i),
Potential-%(contact)sbias+V_t*log(chole_%(contact)s/n_i))'''),
("%(contact)snodemodel:Potential", "1"),
):
name_sub = name % format_dict
equation_sub = equation % format_dict
devsim.contact_node_model(device=device,
contact=contact,
name=name_sub,
equation=equation_sub)
devsim.contact_equation(device=device,
contact=contact,
name="PotentialEquation",
variable_name="Potential",
node_model="%snodemodel" % contact)
def SetupElectronSRVAtInterface(device, interface):
'''
Surface Recombination Velocity At Interface
'''
devsim.set_parameter(device=device, name="alpha_n", value=1e-7)
iexp = "(alpha_n@r0)*(Electrons@r0-Electrons@r1)"
for name, equation in (
("srvElectrons", iexp),
("srvElectrons2", "srvElectrons"),
("srvElectrons:Electrons@r0", "diff(%s,Electrons@r0)" % iexp),
("srvElectrons:Electrons@r1", "diff(%s,Electrons@r1)" % iexp),
("srvElectrons2:Electrons@r0", "srvElectrons:Electrons@r0"),
("srvElectrons2:Electrons@r1", "srvElectrons:Electrons@r1"),
):
devsim.interface_model(device=device,
interface=interface,
name=name,
equation=equation)
devsim.interface_equation(device=device,
interface=interface,
name="ElectronContinuityEquation",
variable_name="Electrons",
interface_model="srvElectrons2",
type="fluxterm")
def setup_edge_volume(device, region):
#
# Set edge volumes for integration
#
dim = ds.get_dimension(device=device)
if dim == 1:
ds.edge_model(device=device,
region=region,
name="EdgeNodeVolume",
equation="0.5*EdgeCouple*EdgeLength")
elif dim == 2:
ds.edge_model(device=device,
region=region,
name="EdgeNodeVolume",
equation="0.25*EdgeCouple*EdgeLength")
elif dim == 3:
ds.edge_model(device=device,
region=region,
name="EdgeNodeVolume",
equation="EdgeCouple*EdgeLength/6.0")
else:
raise NameError("Unhandled dimension %d" % (dim))
ds.set_parameter(device=device,
region=region,
name="edge_node0_volume_model",
value="EdgeNodeVolume")
ds.set_parameter(device=device,
region=region,
name="edge_node1_volume_model",
value="EdgeNodeVolume")
def SetupInitialResistorSystem(device, region, net_doping=1e16):
'''
resistor physics
'''
devsim.set_parameter(device=device, region=region, name='net_doping', value=net_doping)
devsim.node_solution(device=device, region=region, name='Potential')
devsim.edge_from_node_model(device=device, region=region, node_model='Potential')
# node models
for name, equation in (
("NetDoping", "net_doping"),
("IntrinsicElectrons", "NetDoping"),
("IntrinsicCharge", "-IntrinsicElectrons + NetDoping"),
("IntrinsicCharge:Potential", "-IntrinsicElectrons:Potential"),
):
devsim.node_model(device=device, region=region, name=name, equation=equation)
# edge models
for name, equation in (
("ElectricField", "(Potential@n0 - Potential@n1)*EdgeInverseLength"),
("ElectricField:Potential@n0", "EdgeInverseLength"),
("ElectricField:Potential@n1", "-EdgeInverseLength"),
("PotentialEdgeFlux", "Permittivity*ElectricField"),
("PotentialEdgeFlux:Potential@n0", "diff(Permittivity*ElectricField, Potential@n0)"),
("PotentialEdgeFlux:Potential@n1", "-PotentialEdgeFlux:Potential@n0"),
):
devsim.edge_model(device=device, region=region, name=name, equation=equation)
####
#### PotentialEquation
####
devsim.equation(device=device, region=region, name="PotentialEquation", variable_name="Potential", edge_model="PotentialEdgeFlux", variable_update="log_damp")
def SetUniversalParameters(device, region):
universal = {
'q': 1.6e-19, #, 'coul'),
'k': 1.3806503e-23, #, 'J/K'),
'Permittivity_0': 8.85e-14 #, 'F/cm^2')
}
for k, v in universal.items():
ds.set_parameter(device=device, region=region, name=k, value=v)
def set_permittivities(ox, si):
devsim.set_parameter(device=device,
region="MySiRegion",
name="Permittivity",
value=si * 8.85e-14)
devsim.set_parameter(device=device,
region="MyOxRegion",
name="Permittivity",
value=ox * 8.85e-14)
def SetupResistorConstants(device, region):
for name, value in (
("Permittivity", 11.1*8.85e-14),
("ElectronCharge", 1.6e-19),
("IntrinsicDensity", 1.0e10),
("ThermalVoltage", 0.0259),
("mu_n", 400),
("mu_p", 200),
):
devsim.set_parameter(device=device, region=region, name=name, value=value)
def SetOxideParameters(device, region):
'''
Sets physical parameters
'''
SetUniversalParameters(device, region)
ds.set_parameter(
device=device,
region=region,
name="Permittivity",
value=3.9 *
ds.get_parameter(device=device, region=region, name='Permittivity_0'))
def ActivateLh():
ds.set_parameter(device=device, region=region_si, name="Gammap", value=3)
ds.set_parameter(device=device, region=region_ox, name="Gammap", value=1)
#setup_dg_equation(device, region_si, 'Lambda_h', 'Lh', 'del_log_p1', '', 'Lh_eqn')
#setup_dg_equation(device, region_ox, 'Lambda_h', 'Lh', 'del_log_p1', '', 'Lh_eqn')
setup_dg_equation(device, region_si, 'Lambda_h', 'Lh', 'del_log_p1',
'del_log_p2', 'Lh_eqn')
setup_dg_equation(device, region_ox, 'Lambda_h', 'Lh', 'del_log_p1',
'del_log_p2', 'Lh_eqn')
for c in ('top', 'bot'):
setup_dg_contact(device, c, 'Lambda_h', 'Lh')
setup_dg_interface(device, interface_siox, 'Lambda_h', 'Lh')
def setOxideParameters(device, region):
q = 1.6e-19
k = 1.3806503e-23
eps = 8.85e-14
T = 300
devsim.set_parameter(device=device,
region=region,
name="Permittivity",
value=3.9 * eps)
devsim.set_parameter(device=device,
region=region,
name="ElectronCharge",
value=q)
def simulate_charge(device, contact, equation, solver_params):
#charge_factor=1e7 #from F/cm^2 to fF/um^2
dv = 0.001
v1 = ds.get_parameter(device=device, name=GetContactBiasName(contact))
q1 = ds.get_contact_charge(device=device,
contact=contact,
equation="PotentialEquation")
v2 = v1 + dv
ds.set_parameter(name=GetContactBiasName(contact), value=v2)
ds.solve(**solver_params)
q2 = ds.get_contact_charge(device=device,
contact=contact,
equation="PotentialEquation")
return (v1, (charge_factor * (q2 - q1) / dv))
def setMaterialParameters(device, region):
q=1.6e-19
k=1.3806503e-23
eps=8.85e-14
T=300
for name, value in (
("Permittivity", 11.1*eps),
("ElectronCharge", q),
("n_i", 1.0e10),
("kT", eps * T),
("V_t", k*T/q),
("mu_n", 400),
("mu_p", 200),
):
devsim.set_parameter(device=device, region=region, name=name, value=value)
def set_default_models():
for r in (region_si, region_ox):
ds.edge_from_node_model(device=device, region=r, node_model="x")
CreateEdgeModel(device=device,
region=r,
model="xmid",
expression="0.5*(x@n0 + x@n1)")
ds.set_parameter(name="T", value=300.0)
CreateSolution(device=device, region=region_si, name="Potential")
CreateSolution(device=device, region=region_ox, name="Potential")
#
# need Le and Lh for the Si Equation
#
setup_dg_variable(device, region_si, "Le")
setup_dg_variable(device, region_si, "Lh")
setup_dg_variable(device, region_ox, "Le")
setup_dg_variable(device, region_ox, "Lh")
CreateNodeModel(device=device,
region=region_si,
model="NetDoping",
expression="Nconstant")
#set the bias
ds.set_parameter(name=GetContactBiasName("bot"), value=0.0)
ds.set_parameter(name=GetContactBiasName("top"), value=0.0)
#available solution reset
ds.node_solution(name='zero', device=device, region=region_ox)
ds.node_solution(name='zero', device=device, region=region_si)
def rampparam(device, region, param, stop, step_size, min_step, solver_params=None, callback=None):
'''
Ramps param with assignable callback function
'''
start_param=ds.get_parameter(device=device, region=region, name=param)
if (start_param < stop):
step_sign=1
else:
step_sign=-1
last_param=start_param
while(abs(last_param - stop) > min_step):
print("last end %e %e" % (last_param, stop))
next_param=last_param + step_sign * step_size
if next_param < stop:
next_step_sign=1
else:
next_step_sign=-1
if next_step_sign != step_sign:
next_param=stop
print("setting to last param %e" % (stop))
print("setting next param %e" % (next_param))
ds.set_parameter(device=device, region=region, name=param, value=next_param)
try:
ds.solve(**solver_params)
except ds.error as msg:
if str(msg).find("Convergence failure") != 0:
raise
ds.set_parameter(device=device, region=region, name=param, value=last_param)
step_size *= 0.5
print("setting new step size %e" % (step_size))
#raise NameError("STOP")
if step_size < min_step:
raise RuntimeError("Min step size too small")
continue
last_param=next_param
if callback:
callback()
def setup_dd_si(device, region):
# this is our solution variable
CreateSolution(device, region, "Potential")
CreateSolution(device, region, "Electrons")
CreateSolution(device, region, "Holes")
#These are needed for the Arora model
CreateBandEdgeModels(device, region, ("Potential", "Le", "Lh"))
#these are needed for velocity saturation
#CreateEField(device, region)
#CreateDField(device, region)
opts = CreateAroraMobilityLF(device, region)
#opts = CreateHFMobility(device, region, **opts)
CreateSiliconDriftDiffusion(device, region, **opts)
for i in get_contact_list(device=device):
r = get_region_list(device=device, contact=i)[0]
if r == region:
ds.set_parameter(name=GetContactBiasName(i), value=0.0)
CreateSiliconDriftDiffusionContact(device, region, i, opts['Jn'],
opts['Jp'])
return opts
region1=regions[1],
interface=interface)
for region in regions:
test_common.SetupResistorConstants(device, region)
test_common.SetupInitialResistorSystem(device, region, net_doping=1e16)
for contact in contacts:
test_common.SetupInitialResistorContact(device, contact=contact)
test_common.SetupContinuousPotentialAtInterface(device, interface)
#####
##### Initial DC Solution
#####
devsim.set_parameter(name="topbias", value=0.0)
devsim.set_parameter(name="botbias", value=0.0)
devsim.solve(type='dc',
absolute_error=1.0,
relative_error=1e-10,
maximum_iterations=30)
for region in regions:
for name in ("Potential", "IntrinsicElectrons"):
devsim.print_node_values(device=device, region=region, name=name)
for region in regions:
test_common.SetupCarrierResistorSystem(device, region)
for contact in contacts:
test_common.SetupCarrierResistorContact(device, contact=contact)
# See the License for the specific language governing permissions and # limitations under the License. # cap device to test displacement current at contact import devsim import test_common device="MyDevice" region="MyRegion" test_common.CreateSimpleMesh(device, region) ### ### Set parameters on the region ### devsim.set_parameter(device=device, region=region, name="Permittivity", value=3.9*8.85e-14) ### ### Create the Potential solution variable ### devsim.node_solution(device=device, region=region, name="Potential") ### ### Creates the Potential@n0 and Potential@n1 edge model ### devsim.edge_from_node_model(device=device, region=region, node_model="Potential") ### ### Electric field on each edge, as well as its derivatives with respect to ### the potential at each node ###
devsim.add_2d_interface( mesh="dog", name="i1", region0="r1", region1="r2", xl=0, xh=1, yl=ymid2, yh=ymid2, bloat=1.0e-10)
devsim.add_2d_contact( mesh="dog", name="top", region="r0", yl=ymin, yh=ymin, bloat=1.0e-10, material="metal")
devsim.add_2d_contact( mesh="dog", name="bot", region="r2", yl=ymax, yh=ymax, bloat=1.0e-10, material="metal")
#contact can only apply interface
devsim.finalize_mesh( mesh="dog")
devsim.create_device(mesh="dog", device=device)
devsim.node_model(device=device, name="NetDoping", region="gas1", equation="1e18")
devsim.node_model(device=device, name="NetDoping", region="r0", equation="1e18")
devsim.node_model(device=device, name="NetDoping", region="r1", equation="-1e15")
devsim.node_model(device=device, name="NetDoping", region="r2", equation="-1e15")
devsim.node_model(device=device, name="NetDoping", region="gas2", equation="-1e15")
devsim.interface_normal_model(device=device, region="r0", interface="i0")
devsim.interface_normal_model(device=device, region="r1", interface="i0")
devsim.interface_normal_model(device=device, region="r1", interface="i1")
devsim.interface_normal_model(device=device, region="r2", interface="i1")
devsim.set_parameter(name="raxis_zero", value=0.0)
devsim.set_parameter(name="raxis_variable", value="x")
for region in ("r0", "r1", "r2"):
devsim.cylindrical_node_volume( device=device, region=region)
devsim.cylindrical_edge_couple( device=device, region=region)
devsim.cylindrical_surface_area( device=device, region=region)
devsim.write_devices(file="mesh2d.flps", type="floops")
devsim.write_devices(file="mesh2d.msh", type="devsim")
devsim.write_devices(file="mesh2d.dat", type="tecplot")
# Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. import devsim device="MyDevice" region="MyRegion" devsim.load_devices(file="trimesh2.msh") devsim.print_node_values(device="MyDevice", region="MyRegion", name="NodeVolume") devsim.print_edge_values(device="MyDevice", region="MyRegion", name="EdgeCouple") devsim.set_parameter(device=device, region=region, name="Permittivity", value=3.9*8.85e-14) devsim.set_parameter(device=device, region=region, name="ElectricCharge", value=1.6e-19) devsim.node_solution(device=device, region=region, name="Potential") devsim.edge_from_node_model(device=device, region=region, node_model="Potential") devsim.edge_model(device=device, region=region, name="ElectricField", equation="(Potential@n0 - Potential@n1)*EdgeInverseLength") devsim.edge_model(device=device, region=region, name="ElectricField:Potential@n0", equation="EdgeInverseLength") devsim.edge_model(device=device, region=region, name="ElectricField:Potential@n1", equation="-EdgeInverseLength") devsim.set_parameter(device=device, region=region, name="topbias", value=1.0e-0) devsim.set_parameter(device=device, region=region, name="botbias", value=0.0) devsim.edge_model(device=device, region=region, name="PotentialEdgeFlux", equation="Permittivity*ElectricField") devsim.edge_model(device=device, region=region, name="PotentialEdgeFlux:Potential@n0", equation="diff(Permittivity*ElectricField, Potential@n0)") devsim.edge_model(device=device, region=region, name="PotentialEdgeFlux:Potential@n1", equation="-PotentialEdgeFlux:Potential@n0")
####
#### Meshing
####
test_common.CreateSimpleMesh(device=devices[0], region=region)
devsim.create_device(mesh="dog", device=devices[1])
for device in devices:
test_common.SetupResistorConstants(device=device, region="")
test_common.SetupInitialResistorSystem(device, region)
devsim.add_circuit_node(name="cnode1", variable_update="log_damp")
devsim.circuit_element(name="R1", n1="cnode1", n2=0, value=1e15)
# ground these contacts
devsim.set_parameter(device="MyDevice1", name="topbias", value=0.0)
devsim.set_parameter(device="MyDevice2", name="botbias", value=0.0)
test_common.SetupInitialResistorContact(device="MyDevice1",
contact="top",
use_circuit_bias=True,
circuit_node="cnode1")
test_common.SetupInitialResistorContact(device="MyDevice1",
contact="bot",
use_circuit_bias=False,
circuit_node="topbias")
test_common.SetupInitialResistorContact(device="MyDevice2",
contact="top",
use_circuit_bias=True,
circuit_node="cnode1")
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#### Plan is to use this file for full restart, including equations
import devsim
device = "mymos"
devsim.load_devices(file="mos_2d_dd.msh")
import mos_2d_params
devsim.set_parameter(name="debug_level", value="info")
devsim.set_parameter(device=device,
region="gate",
name="debug_level",
value="verbose")
devsim.solve(type="dc",
absolute_error=1.0e30,
relative_error=1e-5,
maximum_iterations=30)
devsim.write_devices(file="mos_2d_restart2.msh", type="devsim")
#set_parameter -device mymos -region gate -name gatebias -value 0.1
#solve -type dc -absolute_error 1.0e30 -relative_error 1e-9 -maximum_iterations 30
import numpy.linalg
except:
print("numpy is not available with your installation and is not being run")
sys.exit(-1)
from devsim import *
from laux_common import *
import laux_common
load_devices(file="gmsh_diode3d_dd.msh")
device = "diode3d"
region = "Bulk"
SetDimension(3)
nee = laux_common.nee
nen = laux_common.nen
dim = laux_common.dim
# There are nee edges per tetrahedron
#number_elements = len(scalar_efield)/laux_common.nee;
number_test = -1
RunTest(device, region, number_test, "ElectricField", "Potential")
import devsim
devsim.set_parameter(name="V_t", value=0.0259)
devsim.set_parameter(name="mu_n", value=400)
devsim.set_parameter(name="ElectronCharge", value=1.6e-19)
RunTest(device, region, number_test, "ElectronCurrent", "Potential")
devsim.solve(type="dc", absolute_error=1.0, relative_error=1e-14, maximum_iterations=3) devsim.circuit_alter(name="V1", value=2.0) devsim.solve(type="dc", absolute_error=1.0, relative_error=1e-14, maximum_iterations=30) test_common.CreateSimpleMesh(device, region) devsim.node_model(device=device, region=region, name="erf", equation="erf(x);") devsim.print_node_values(device=device, region=region, name="erf") devsim.node_model(device=device, region=region, name="d_erf_dx", equation="diff(erf(x),x);") devsim.print_node_values(device=device, region=region, name="d_erf_dx") devsim.node_model(device=device, region=region, name="erfc", equation="erfc(x);") devsim.print_node_values(device=device, region=region, name="erfc") devsim.node_model(device=device, region=region, name="d_erfc_dx", equation="diff(erfc(x),x);") devsim.print_node_values(device=device, region=region, name="d_erfc_dx") devsim.node_model(device=device, region=region, name="d_abs_dx", equation="diff(abs(x),x);") devsim.print_node_values(device=device, region=region, name="d_abs_dx") devsim.set_parameter(name="param", value=-1.0) devsim.node_model(device=device, region=region, name="deptest", equation="param;") devsim.print_node_values(device=device, region=region, name="deptest") devsim.set_parameter(name="param", value=1.0) devsim.print_node_values(device=device, region=region, name="deptest") devsim.node_model(device=device, region=region, name="cdeptest", equation="cnode1;") devsim.print_node_values(device=device, region=region, name="cdeptest") devsim.set_circuit_node_value(node="cnode1", value=-1.0) devsim.print_node_values(device=device, region=region, name="cdeptest")
def createDriftDiffusion(device, region):
for name, equation in (
("PotentialNodeCharge" , "-ElectronCharge*(Holes -Electrons + NetDoping)"),
("PotentialNodeCharge:Electrons", "+ElectronCharge"),
("PotentialNodeCharge:Holes" , "-ElectronCharge"),
):
devsim.node_model(device=device, region=region, name=name, equation=equation)
devsim.equation(device=device, region=region, name="PotentialEquation", variable_name="Potential", node_model="PotentialNodeCharge",
element_model="PotentialEdgeFlux", variable_update="log_damp")
for name, equation in (
("vdiff" , "(Potential@n0 - Potential@n1)/V_t"),
("vdiff:Potential@n0" , "V_t^(-1)"),
("vdiff:Potential@n1" , "-V_t^(-1)"),
("Bern01" , "B(vdiff)"),
("Bern01:Potential@n0", "dBdx(vdiff)*vdiff:Potential@n0"),
("Bern01:Potential@n1", "dBdx(vdiff)*vdiff:Potential@n1"),
("Bern10" , "Bern01 + vdiff"),
("Bern10:Potential@n0", "Bern01:Potential@n0 + vdiff:Potential@n0"),
("Bern10:Potential@n1", "Bern01:Potential@n1 + vdiff:Potential@n1"),
):
devsim.edge_model(device=device, region=region, name=name, equation=equation)
Jn ="ElectronCharge*mu_n*EdgeInverseLength*V_t*(Electrons@n1*Bern10 - Electrons@n0*Bern01)"
dJndn0 ="simplify(diff( %s, Electrons@n0))" % Jn
dJndn1 ="simplify(diff( %s, Electrons@n1))" % Jn
dJndpot0="simplify(diff( %s, Potential@n0))" % Jn
dJndpot1="simplify(diff( %s, Potential@n1))" % Jn
for name, equation in (
("ElectronCurrent" , Jn),
("ElectronCurrent:Electrons@n0", dJndn0),
("ElectronCurrent:Electrons@n1", dJndn1),
("ElectronCurrent:Potential@n0", dJndpot0),
("ElectronCurrent:Potential@n1", dJndpot1),
):
devsim.edge_model(device=device, region=region, name=name, equation=equation)
Jp ="-ElectronCharge*mu_p*EdgeInverseLength*V_t*(Holes@n1*Bern01 - Holes@n0*Bern10)"
dJpdp0 ="simplify(diff(%s, Holes@n0))" % Jp
dJpdp1 ="simplify(diff(%s, Holes@n1))" % Jp
dJpdpot0="simplify(diff(%s, Potential@n0))" % Jp
dJpdpot1="simplify(diff(%s, Potential@n1))" % Jp
for name, equation in (
("HoleCurrent" , Jp),
("HoleCurrent:Holes@n0" , dJpdp0),
("HoleCurrent:Holes@n1" , dJpdp1),
("HoleCurrent:Potential@n0", dJpdpot0),
("HoleCurrent:Potential@n1", dJpdpot1),
):
devsim.edge_model(device=device, region=region, name=name, equation=equation)
NCharge="-ElectronCharge * Electrons"
dNChargedn="-ElectronCharge"
for name, equation in (
("NCharge", NCharge),
("NCharge:Electrons", dNChargedn),
):
devsim.node_model(device=device, region=region, name=name, equation=equation)
PCharge="-ElectronCharge * Holes"
dPChargedp="-ElectronCharge"
for name, equation in (
("PCharge", PCharge),
("PCharge:Holes", dPChargedp),
):
devsim.node_model(device=device, region=region, name=name, equation=equation)
ni=devsim.get_parameter(device=device, region=region, name="n_i")
for name, value in (
("n1", ni),
("p1", ni),
("taun", 1e-5),
("taup", 1e-5),
):
devsim.set_parameter(device=device, region=region, name=name, value=value)
USRH="-ElectronCharge*(Electrons*Holes - n_i^2)/(taup*(Electrons + n1) + taun*(Holes + p1))"
dUSRHdn="simplify(diff($USRH, Electrons))"
dUSRHdp="simplify(diff($USRH, Holes))"
for name, equation in (
("USRH", USRH),
("USRH:Electrons", dUSRHdn),
("USRH:Holes", dUSRHdp),
):
devsim.node_model(device=device, region=region, name=name, equation=equation)
devsim.equation(device=device, region=region, name="ElectronContinuityEquation", variable_name="Electrons",
edge_model="ElectronCurrent", variable_update="positive",
time_node_model="NCharge", node_model="USRH")
devsim.equation(device=device, region=region, name="HoleContinuityEquation", variable_name="Holes",
edge_model="HoleCurrent", variable_update="positive",
time_node_model="PCharge", node_model="USRH")
def set_dg_parameters(device, region):
##From Cogenda default Si physics:
#TODO: parameter units
ds.set_parameter(device=device,
region=region,
name="h",
value=6.62606876e-34) # J*s
ds.set_parameter(device=device,
region=region,
name="hbar",
value=1.054571596e-34) # J*s
ds.set_parameter(device=device, region=region, name="Gamman", value=1)
ds.set_parameter(device=device, region=region, name="Gammap", value=1)
ds.set_parameter(device=device, region=region, name="Gammanox", value=1)
ds.set_parameter(device=device, region=region, name="Gammapox", value=1)
ds.set_parameter(device=device,
region=region,
name="mass_electron",
value=9.10938188e-31) # kg
ds.node_model(device=device,
region=region,
name="meff_elec",
equation="1.0903*mass_electron")
ds.node_model(device=device,
region=region,
name="meff_hole",
equation="1.1525*mass_electron")
ds.node_model(device=device,
region=region,
name="b_n",
equation="(1e4*Gamman*hbar^2)/(q*6*meff_elec)") # eV*cm^2
ds.node_model(device=device,
region=region,
name="b_p",
equation="(1e4*Gammap*hbar^2)/(q*6*meff_hole)") # eV*cm^2
# Oxide
#
#ds.node_model(device=device, region=region, name="b_nox", equation="1e-100") # eV*cm^2
ds.node_model(
device=device,
region=region,
name="b_nox",
equation="1e4*Gammanox*hbar^2/(6*q*0.14*mass_electron)") # eV*cm^2
ds.node_model(
device=device,
region=region,
name="b_pox",
equation="1e4*Gammapox*hbar^2/(6*q*1.0*mass_electron)") # eV*cm^2
#ds.node_model(device=device, region=region, name="b_nox", equation="10*hbar^2/(6*q*0.14*mass_electron)") # eV*cm^2
#ds.node_model(device=device, region=region, name="b_pox", equation="10*hbar^2/(6*q*0.14*mass_electron)") # eV*cm^2
#ds.node_model(device=device, region=region, name="b_nox", equation="(1e4*Gammanox*hbar^2)/(q*6*meff_elec)") # eV*cm^2
#ds.node_model(device=device, region=region, name="b_pox", equation="(1e4*Gammapox*hbar^2)/(q*6*meff_hole)") # eV*cm^2
ds.node_model(device=device,
region=region,
name="x_np",
equation="1e2*hbar/(2*0.4*mass_electron*q*3.15)^0.5") # cm
ds.node_model(device=device,
region=region,
name="x_pp",
equation="1e2*hbar/(2*0.4*mass_electron*q*4.50)^0.5") # cm
#const PetscScalar b_nox = hbar*hbar/(6*e*0.14*me);
#const PetscScalar b_pox = hbar*hbar/(6*e*1.0*me);
#const PetscScalar bn = mt->band->Gamman()*hbar*hbar/(6*e*mt->band->EffecElecMass(T));
#const PetscScalar bp = mt->band->Gammap()*hbar*hbar/(6*e*mt->band->EffecHoleMass(T));
# const PetscScalar x_np = hbar/sqrt(2*0.4*me*3.15*eV);
# const PetscScalar x_pp = hbar/sqrt(2*0.4*me*4.50*eV);
# eV = 1.602176462e-19*J;
# e = 1.602176462e-19*C;
# ELECMASS = 1.0903*me;
# HOLEMASS = 1.1525*me;
#
# Edge Integration
#
em = (
("b_n", "b_ne", "arithmetic", ()),
("b_p", "b_pe", "arithmetic", ()),
)
for e in em:
ds.edge_average_model(device=device,
region=region,
node_model=e[0],
edge_model=e[1],
average_type=e[2])
for d in e[3]:
ds.edge_average_model(device=device,
region=region,
node_model=e[0],
edge_model=e[1],
average_type=e[2],
derivative=d)
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from devsim.python_packages.simple_physics import *
from devsim.python_packages.ramp import *
import refinement2
import devsim
devsim.set_parameter(name="extended_solver", value=True)
devsim.set_parameter(name="extended_model", value=True)
devsim.set_parameter(name="extended_equation", value=True)
device = "mos2d"
import gmsh_mos2d_create
gmsh_mos2d_create.create(device=device,
infile="gmsh_mos2d.msh",
outfile="gmsh_mos2d_out.msh")
silicon_regions = ("gate", "bulk")
oxide_regions = ("oxide", )
regions = ("gate", "bulk", "oxide")
interfaces = ("bulk_oxide", "gate_oxide")
solver_params = {
'type': "dc",
'relative_error': 1e-11,
'absolute_error': 1,
'maximum_iterations': 50
}
for index, d in enumerate(dopings):
cdict = {
'doping': format_doping(float(d)),
'q': [],
'v': [],
}
ds.set_parameter(device=device,
region=region_si,
name="Nconstant",
value=float(d))
ds.set_node_values(device=device,
region=region_si,
name="Potential",
init_from="zero")
ds.set_node_values(device=device,
region=region_ox,
name="Potential",
init_from="zero")
ds.set_parameter(name=GetContactBiasName("top"), value=vneg)
ds.solve(**solver_params)
def mycb():
res = simulate_charge(device=device,
def createSiliconDriftDiffusion(device, region):
for name, equation in (
("PotentialNodeCharge",
"-ElectronCharge*(Holes -Electrons + NetDoping)"),
("PotentialNodeCharge:Electrons", "+ElectronCharge"),
("PotentialNodeCharge:Holes", "-ElectronCharge"),
):
devsim.node_model(device=device,
region=region,
name=name,
equation=equation)
devsim.equation(device=device,
region=region,
name="PotentialEquation",
variable_name="Potential",
node_model="PotentialNodeCharge",
edge_model="PotentialEdgeFlux",
variable_update="log_damp")
createBernoulli(device, region)
createElectronCurrent(device, region)
createHoleCurrent(device, region)
NCharge = "-ElectronCharge * Electrons"
dNChargedn = "-ElectronCharge"
devsim.node_model(device=device,
region=region,
name="NCharge",
equation=NCharge)
devsim.node_model(device=device,
region=region,
name="NCharge:Electrons",
equation=dNChargedn)
PCharge = "-ElectronCharge * Holes"
dPChargedp = "-ElectronCharge"
devsim.node_model(device=device,
region=region,
name="PCharge",
equation=PCharge)
devsim.node_model(device=device,
region=region,
name="PCharge:Holes",
equation=dPChargedp)
ni = devsim.get_parameter(device=device, region=region, name="n_i")
devsim.set_parameter(device=device, region=region, name="n1", value=ni)
devsim.set_parameter(device=device, region=region, name="p1", value=ni)
devsim.set_parameter(device=device, region=region, name="taun", value=1e-5)
devsim.set_parameter(device=device, region=region, name="taup", value=1e-5)
USRH = "-ElectronCharge*(Electrons*Holes - n_i^2)/(taup*(Electrons + n1) + taun*(Holes + p1))"
dUSRHdn = "simplify(diff(%s, Electrons))" % USRH
dUSRHdp = "simplify(diff(%s, Holes))" % USRH
devsim.node_model(device=device, region=region, name="USRH", equation=USRH)
devsim.node_model(device=device,
region=region,
name="USRH:Electrons",
equation=dUSRHdn)
devsim.node_model(device=device,
region=region,
name="USRH:Holes",
equation=dUSRHdp)
devsim.equation(device=device,
region=region,
name="ElectronContinuityEquation",
variable_name="Electrons",
edge_model="ElectronCurrent",
variable_update="positive",
time_node_model="NCharge",
node_model="USRH")
devsim.equation(device=device,
region=region,
name="HoleContinuityEquation",
variable_name="Holes",
edge_model="HoleCurrent",
variable_update="positive",
time_node_model="PCharge",
node_model="USRH")
def ActivateLe2():
ds.set_parameter(device=device, region=region_si, name="Gamman", value=3)
ds.set_parameter(device=device, region=region_ox, name="Gamman", value=1)
setup_dg_equation(device, region_si, 'Lambda_e', 'Le', 'del_log_n1',
'del_log_n2', 'Le_eqn')
setup_dg_contact(device, 'bot', 'Lambda_e', 'Le')
def ActivateLh2():
ds.set_parameter(device=device, region=region_si, name="Gammap", value=3)
ds.set_parameter(device=device, region=region_ox, name="Gammap", value=1)
setup_dg_equation(device, region_si, 'Lambda_h', 'Lh', 'del_log_p1',
'del_log_p2', 'Lh_eqn')
setup_dg_contact(device, 'bot', 'Lambda_h', 'Lh')
