def get_sMatrix(elem, squid):
'''
This is where the assembly of the model happens using ABCD Matrixes
SM represents the SQUID response
M1 respresents 3 sections of Transmission lines (L1,Z1)(L2,Z2)(L3,Z3)
Zsq is the impedance of the SQUID (flux) (vector)
Assembly is done for each flux point and change in Zsq
'''
Zsq = get_Zsq(squid)
b = 2.0 * pi * squid.f0 / 2.0e8
SM = np.zeros((len(Zsq), 2, 2)) * 1j # complex matrix
M1 = (tline(elem.Z1, b, elem.L1) * tline(elem.Z2, b, elem.L2) *
tline(elem.Z3, b, elem.L3)) # transmission lines
for ii, Zsq1 in enumerate(Zsq):
M2 = sres(Zsq1) * shunt(elem.Z4)
M4 = M1 * M2
SM[ii] = elem.get_SM(M4) # complex S-Matrix shape [2 2 fluxlength]
return SM
def get_sMatrix(elem, squid):
'''
This is where the assembly of the model happens using ABCD Matrixes
SM represents the SQUID response
M1 respresents 3 sections of Transmission lines (L1,Z1)(L2,Z2)(L3,Z3)
Zsq is the impedance of the SQUID (flux) (vector)
Assembly is done for each flux point and change in Zsq
'''
Zsq = get_Zsq(squid)
b = 2.0 * pi * squid.f0 / 2.0e8
SM = np.zeros((len(Zsq), 2, 2)) * 1j # complex matrix
M1 = (tline(elem.Z1, b, elem.L1) *
tline(elem.Z2, b, elem.L2) *
tline(elem.Z3, b, elem.L3)) # transmission lines
for ii, Zsq1 in enumerate(Zsq):
M2 = sres(Zsq1) * shunt(elem.Z4)
M4 = M1 * M2
SM[ii] = elem.get_SM(M4) # complex S-Matrix shape [2 2 fluxlength]
return SM
pt = 11) #8 pts for S 4x2 values
dim_3._Z0 = 50
head1 = make_header(magnet, freq, dim_3, 'S11 S12 S21 S22 Z L')
dim_3.prepare_data_save(magnet, freq, dim_3)
for jj, f0 in enumerate(freq.lin):
for ii, flux in enumerate(magnet.lin):
# b = k = 2pi/wavelength; wavelength = velocity / frequency
b = 2.0*pi*f0/v
L = flux0 / (Ic*2.0*pi* abs(cos(pi*flux/flux0)))
Ysq = (1.0/R + 1.0/(i*2.0*pi*f0*L +i*1e-90) + i*2.0*pi*f0*Cap)
Zsq = 1.0/Ysq
ABCD_Matrix = tline(70,b,0.01)*tline(50,b,0.3)*tline(10,b,900e-6)*sres(Zsq)*shunt(0.1)
#record stuff into dim_3._SMat
dim_3.record_SM(ABCD_Matrix,jj,ii)
dim_3.record_ZL(Zsq,L, jj,ii)
dim_3.unwrap_SM(jj)
dim_3._SMat[9,jj] = unwrap(dim_3._SMat[9,jj])
plt.figure(1)
plt.subplot(2, 1, 1)
plt.imshow(dim_3._SMat[0], aspect = 'auto',cmap=plt.get_cmap('seismic'))
plt.subplot(2, 1, 2)
plt.imshow(dim_3._SMat[1], aspect = 'auto',cmap=plt.get_cmap('seismic'))
plt.show()
