def generate_map_and_waterfall_plots(domain):
""" Generate map and waterfall plots to visualise pulse propagation. """
system = System(domain)
system.add(Sech(peak_power=4.0, width=1.0))
system.add(
Fibre("fibre",
length=0.5 * np.pi,
beta=[0.0, 0.0, -1.0, 0.0],
gamma=1.0,
method="rk4ip",
total_steps=1000,
traces=50))
system.run()
storage = system['fibre'].stepper.storage
(x, y, z) = storage.get_plot_data(reduced_range=(95.0, 105.0))
map_plot(x,
y,
z,
labels["t"],
labels["P_t"],
labels["z"],
filename="soliton_map")
waterfall_plot(x,
y,
z,
labels["t"],
labels["z"],
labels["P_t"],
filename="soliton_waterfall",
y_range=(0.0, 16.0))
def save_simulations(domain, data_directory, methods, target_errors):
""" Save data for each method and target error to file. """
for method in methods:
print("%s" % method)
for target_error in target_errors:
print("\t%.1e" % target_error)
method_error = "-".join([method, "%.0e" % (target_error)])
filename = os.path.join(data_directory, method_error)
system = System(domain)
system.add(Sech(peak_power=4.0, width=1.0))
system.add(
Fibre("fibre",
length=0.5 * np.pi,
beta=[0.0, 0.0, -1.0, 0.0],
gamma=1.0,
method=method,
local_error=target_error))
system.run()
A_calc = system.fields['fibre']
storage = system["fibre"].stepper.storage
np.savez(filename, field=A_calc, ffts=storage.fft_total)
def save_simulations(domain, data_directory, methods, target_errors):
""" Save simulation data for each method to file. """
for method in methods:
print("%s" % method)
for target_error in target_errors:
print("\t%.1e" % target_error)
method_error = "-".join([method, "%.0e" % (target_error)])
filename = os.path.join(data_directory, method_error)
system = System(domain)
system.add(
Sech(peak_power=8.8e-3, width=(1.0 / 0.44), position=0.625))
system.add(
Sech(peak_power=8.8e-3,
width=(1.0 / 0.44),
position=0.375,
offset_nu=-0.8))
system.add(
Fibre("fibre",
length=400.0,
beta=[0.0, 0.0, -0.1, 0.0],
gamma=2.2,
method=method,
local_error=target_error))
system.run()
A_calc = system.fields['fibre']
storage = system["fibre"].stepper.storage
np.savez(filename, field=A_calc, ffts=storage.fft_total)
def generate_overview_plots(domain):
""" Generate single, map, and waterfall plots of the soliton collision. """
system = System(domain)
system.add(Sech(peak_power=8.8e-3, width=(1.0 / 0.44),
position=0.625))
system.add(Sech(peak_power=8.8e-3, width=(1.0 / 0.44),
position=0.375, offset_nu=-0.8))
system.add(Fibre(length=400.0, beta=[0.0, 0.0, -0.1, 0.0],
gamma=2.2, total_steps=400, traces=100,
method='ARK4IP', local_error=1e-6))
system.run()
storage = system['fibre'].stepper.storage
(x, y, z) = storage.get_plot_data(reduced_range=(140.0, 360.0))
# Split step_sizes (list of tuples) into separate lists;
# distances and steps:
(distances, steps) = list(zip(*storage.step_sizes))
print(np.sum(steps))
single_plot(distances, steps, labels["z"], "Step size, h (km)",
filename="soliton_collision_steps")
map_plot(x, y, z, labels["t"], labels["P_t"], labels["z"],
filename="soliton_collision_map")
waterfall_plot(x, y, z, labels["t"], labels["z"], labels["P_t"],
filename="soliton_collision_waterfall",
y_range=(0.0, 0.02))
def generate_reference(domain, data_directory):
""" Generate a reference field (to machine precision), used as A_true. """
system = System(domain)
system.add(Sech(peak_power=8.8e-3, width=(1.0 / 0.44),
position=0.125))
system.add(Sech(peak_power=8.8e-3, width=(1.0 / 0.44),
position=-0.125, offset_nu=-0.8))
system.add(Fibre("fibre", length=400.0, beta=[0.0, 0.0, -0.1, 0.0],
gamma=2.2, method="ark4ip", local_error=1e-14))
system.run()
A_true = system.field
filename = os.path.join(data_directory, "reference_field")
np.save(filename, A_true)
def save_simulations(domain, data_directory, methods, steps):
""" Save data for each method and step to file. """
for method in methods:
print "%s" % method
for step in steps:
print "\t%d" % step
method_step = "-".join([method, str(step)])
filename = os.path.join(data_directory, method_step)
system = System(domain)
system.add(Sech(peak_power=4.0, width=1.0))
system.add(
Fibre("fibre",
length=0.5 * np.pi,
beta=[0.0, 0.0, -1.0, 0.0],
gamma=1.0,
method=method,
total_steps=step))
system.run()
A_calc = system.fields['fibre']
np.save(filename, A_calc)
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import temporal_power, multi_plot, labels
system = System(Domain(bit_width=200.0, samples_per_bit=2048))
system.add(Gaussian("gaussian", peak_power=1.0, width=1.0))
system.run()
P_ts = [temporal_power(system.fields['gaussian'])]
fibres = [
Fibre(length=5.0, beta=[0.0, 0.0, 0.0, 1.0], total_steps=100),
Fibre(length=5.0, beta=[0.0, 0.0, 1.0, 1.0], total_steps=100)
]
for fibre in fibres:
system = System(Domain(bit_width=200.0, samples_per_bit=2048))
system.add(Gaussian(peak_power=1.0, width=1.0))
system.add(fibre)
system.run()
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import temporal_power, spectral_power, double_plot, labels
domain = Domain(bit_width=4.0, samples_per_bit=4096)
s = 0.01
width = 1.0 / (s * domain.centre_omega)
gamma = 100.0 / (width ** 2)
P_ts = []
P_nus = []
length = [20.0 / gamma, 40.0 / gamma]
for l in length:
system = System(domain)
system.add(Gaussian(peak_power=1.0, width=width))
system.add(Fibre(length=l, gamma=gamma, total_steps=200,
self_steepening=True, beta=[0.0, 0.0, 1.0]))
system.run()
field = system.fields['fibre']
P_ts.append(temporal_power(field))
P_nus.append(spectral_power(field, True))
double_plot(system.domain.t, P_ts[0], system.domain.nu, P_nus[0],
labels["t"], labels["P_t"], labels["nu"], labels["P_nu"],
x_range=(-0.5, 0.5), X_range=(146.1, 240.1), filename="4-21a")
double_plot(system.domain.t, P_ts[1], system.domain.nu, P_nus[1],
labels["t"], labels["P_t"], labels["nu"], labels["P_nu"],
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
import sys
from pyofss import Domain, System, Sech, Fibre
from pyofss import map_plot, waterfall_plot, animated_plot, labels
system = System(Domain(bit_width=100.0, samples_per_bit=4096))
system.add(Sech(peak_power=1.0, width=1.0))
system.add(
Fibre(length=4.0,
beta=[0.0, 0.0, 0.0, 1.0],
gamma=4.0,
traces=100,
method='ARK4IP'))
system.run()
storage = system['fibre'].stepper.storage
(x, y, z) = storage.get_plot_data(False, (192.1, 194.1), normalised=True)
map_plot(x,
y,
z,
Use five different methods: ss_simple, ss_symmetric, ss_sym_rk4,
ss_sym_rkf, and rk4ip. Expect all five methods to produce similar results;
plot traces should all overlap. Separate traces should only be seen at
a high zoom level.
"""
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import temporal_power, multi_plot, labels
domain = Domain(bit_width=200.0, samples_per_bit=2048)
gaussian = Gaussian(peak_power=1.0, width=1.0)
P_ts = []
methods = ['ss_simple', 'ss_symmetric', 'ss_sym_rk4', 'rk4ip']
for m in methods:
sys = System(domain)
sys.add(gaussian)
sys.add(
Fibre(length=5.0,
method=m,
total_steps=50,
beta=[0.0, 0.0, 0.0, 1.0],
gamma=1.0))
sys.run()
P_ts.append(temporal_power(sys.field))
multi_plot(sys.domain.t,
P_ts,
methods,
labels["t"],
labels["P_t"],
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
import sys
from pyofss.domain import nu_to_omega, lambda_to_nu
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import map_plot, waterfall_plot, animated_plot, labels
nu_0 = lambda_to_nu(1060.0)
nu_1 = lambda_to_nu(1550.0)
offset_nu = nu_0 - nu_1
system = System(Domain(bit_width=20.0, samples_per_bit=8192,
channels=2, centre_nu=nu_0))
system.add(Gaussian(width=1.0, peak_power=1000.0, channel=0))
system.add(Gaussian(width=1.0, peak_power=0.1, channel=1,
offset_nu=-offset_nu))
system.add(Fibre('fibre', length=0.05, gamma=[0.9, 0.615483871],
beta=[[0.0, 0.0, 1.0, 0.0], [0.0, 0.0, -1.0, 0.0]],
centre_omega=(nu_to_omega(nu_0), nu_to_omega(nu_1)),
sim_type='wdm', method='ARK4IP', traces=100))
system.run()
storage = system['fibre'].stepper.storage
(x, y, z_temp) = storage.get_plot_data(channel=0)
z_label = r"Fibre length, $z \, (m)$"
z = z_temp * 1.0e3
map_plot(x, y, z, labels["t"], labels["P_t"], z_label,
phase = self.initial_phase
phase -= 2.0 * pi * self.offset_nu * domain.t
sechh = 1./np.cosh(t_normalised)
sechh = np.where(sechh != 0, np.power(sechh, 1+1j*self.C), 0.)
magnitude = sqrt(self.peak_power)*sechh
if domain.channels > 1:
self.field[self.channel] += magnitude * exp(1j * phase)
else:
self.field += magnitude * exp(1j * phase)
return self.field
if __name__ == "__main__":
""" Plot a default Diss_soliton in temporal and spectral domain """
from pyofss import Domain, System, Diss_soliton
from pyofss import temporal_power, spectral_power, inst_freq
from pyofss import double_plot, labels
sys = System(Domain(bit_width=500.0))
sys.add(Diss_soliton())
sys.run()
double_plot(sys.domain.t, temporal_power(sys.field),
sys.domain.nu, spectral_power(sys.field, True),
labels["t"], labels["P_t"], labels["nu"], labels["P_nu"],
inst_freq = inst_freq(sys.field, sys.domain.dt), y2_label=labels["inst_nu"])
if __name__ == "__main__":
# Compare simulations using Fibre and OpenclFibre modules.
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import temporal_power, double_plot, labels
import time
TS = 4096
GAMMA = 100.0
STEPS = 800
LENGTH = 0.1
DOMAIN = Domain(bit_width=30.0, samples_per_bit=TS)
SYS = System(DOMAIN)
SYS.add(Gaussian("gaussian", peak_power=1.0, width=1.0))
SYS.add(Fibre("fibre", beta=[0.0, 0.0, 0.0, 1.0], gamma=GAMMA,
length=LENGTH, total_steps=STEPS, method="RK4IP"))
start = time.clock()
SYS.run()
stop = time.clock()
NO_OCL_DURATION = (stop - start) / 1000.0
NO_OCL_OUT = SYS.fields["fibre"]
sys = System(DOMAIN)
sys.add(Gaussian("gaussian", peak_power=1.0, width=1.0))
sys.add(OpenclFibre(TS, dorf="float", length=LENGTH, total_steps=STEPS))
start = time.clock()
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import spectral_power, double_plot, labels
system = System(Domain(bit_width=200.0, samples_per_bit=4096, channels=2))
system.add(Gaussian(width=1.0, peak_power=1.0, channel=0))
system.add(Gaussian(width=1.0, peak_power=0.5, channel=1))
system.add(
Fibre('fibre',
length=40.0,
gamma=[1.0, 1.2],
beta=[[0.0, 0.0, 0.0, 0.0], [0.0, 0.125, 0.0, 0.0]],
sim_type='wdm',
total_steps=400,
method='RK4IP'))
system.run()
A_fs = system.fields['fibre']
P_nu0 = spectral_power(A_fs[0], True)
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
from pyofss.domain import nu_to_omega
from pyofss import Domain, System, Gaussian, Fibre
from pyofss import temporal_power, spectral_power, double_plot, labels
nu_0 = 193.1
nu_1 = 1.2 * nu_0
offset_nu = 0.2 * 193.1
system = System(Domain(bit_width=30.0, samples_per_bit=8192, channels=2))
system.add(Gaussian(width=1.0, peak_power=100.0, channel=0))
system.add(Gaussian(width=1.0, peak_power=1.0, channel=1, offset_nu=offset_nu))
system.add(
Fibre('fibre',
length=0.4,
gamma=[1.0, 1.2],
beta=[[0.0, 0.0, 1.0, 0.0], [0.0, 10.0, 1.0, 0.0]],
centre_omega=(nu_to_omega(nu_0), nu_to_omega(nu_1)),
sim_type='wdm',
method='ARK4IP'))
system.run()
A_fs = system.fields['fibre']
P_t0 = temporal_power(A_fs[0])
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
from pyofss import Domain, System, Gaussian
from pyofss import phase, chirp, double_plot, labels
system = System(Domain(bit_width=10.0))
t = system.domain.t
nu = system.domain.nu
window_nu = system.domain.window_nu
system.add(Gaussian(initial_phase=3.0, width=1.0))
system.run()
double_plot(t,
phase(system.field),
t,
chirp(system.field, window_nu),
labels["t"],
labels["phi"],
labels["t"],
labels["chirp"],