def make_spatial_modes(self, ):
'''Generate the spatial modes of the network.
'''
self.spatial_modes = spatial_modes(self.roots,
self.M1,
self.E,
delays=self.delays)
return
if y0 is None:
y0 = np.asmatrix([0.]*num_of_variables).T
r = ode(f).set_integrator('zvode', method='bdf')
r.set_initial_value(y0, 0.)
Y = []
while r.successful() and r.t < T:
Y.append(C*r.y+D*a_in(r.t))
r.integrate(r.t+dt)
return Y
if __name__ == "__main__" and False:
Ex = Time_Delay_Network.Example3(r1 = 0.9, r3 = 0.9, max_linewidth=15.,max_freq=25.)
Ex.run_Potapov()
modes = functions.spatial_modes(Ex.roots,Ex.M1,Ex.E)
M = len(Ex.roots)
A,B,C,D = Ex.get_Potapov_ABCD(doubled=False)
A_d,B_d,C_d,D_d = Ex.get_Potapov_ABCD(doubled=True)
ham = Hamiltonian.Hamiltonian(Ex.roots,modes,Ex.delays,Omega=-1j*A)
ham.make_chi_nonlinearity(delay_indices=0,start_nonlin=0,
length_nonlin=0.1,indices_of_refraction=1.,
chi_order=3,chi_function=None,)
ham.make_H()
eq_mot = ham.make_eq_motion()
a_in = lambda t: np.asmatrix([1.]*np.shape(D_d)[-1]).T ## make a sample input function
import numpy as np
import numpy.linalg as la
import matplotlib.pyplot as plt
def contour_plot(Mat):
fig = plt.figure()
ax = fig.add_subplot(111)
cax = ax.matshow(abs(Mat), interpolation='nearest')
fig.colorbar(cax)
if __name__ == "__main__" and False:
Ex = Time_Delay_Network.Example3(r1 = 0.999, r3 = 0.999)
Ex.run_Potapov()
E = Ex.E
roots = Ex.roots
M1 = Ex.M1
delays = Ex.delays
modes = functions.spatial_modes(roots,M1,E)
Mat = functions.make_normalized_inner_product_matrix(roots,modes,delays)
contour_plot(Mat)
print Ex.max_freq
print Ex.max_linewidth
print roots
import numpy.linalg as la
import matplotlib.pyplot as plt
def contour_plot(Mat):
fig = plt.figure()
ax = fig.add_subplot(111)
cax = ax.matshow(abs(Mat), interpolation='nearest')
fig.colorbar(cax)
if __name__ == "__main__" and False:
Ex = Time_Delay_Network.Example3(r1=0.999, r3=0.999)
Ex.run_Potapov()
E = Ex.E
roots = Ex.roots
M1 = Ex.M1
delays = Ex.delays
modes = functions.spatial_modes(roots, M1, E)
Mat = functions.make_normalized_inner_product_matrix(roots, modes, delays)
contour_plot(Mat)
print Ex.max_freq
print Ex.max_linewidth
print roots
def make_spatial_modes(self,):
'''Generate the spatial modes of the network.
'''
self.spatial_modes = spatial_modes(self.roots,self.M1,self.E,delays=self.delays)
return
