Beispiel #1
0
def mathieu_ms1_scaled(m, q, x):
    return mathieu_modsem1(m, q, x)[0] * np.sqrt(np.pi/2)
Beispiel #2
0
def mathieu_ms1_scaled(m, q, x):
    return mathieu_modsem1(m, q, x)[0] * np.sqrt(np.pi/2)
Beispiel #3
0
b = 74e-3

e = np.sqrt(1-b**2/a**2)
z = np.arccosh(1/e)

n = 0 # Order
#z = np.linspace(0, 2, num=100)
#z = 1.52
q = np.linspace(0, 7, num=50)

print e
print z
print q

Mc1,Mc11 = sp.mathieu_modcem1(n,q,z) # EVEN functions (modified or radial or CAPITAL)
Ms1,Ms11 = sp.mathieu_modsem1(n,q,z) # ODD functions (modified or radial or CAPITAL)

# Plotting TE modes
#plt.plot(q,np.sqrt(np.pi/2)*Mc11) # EVEN TE
#plt.plot(q,np.sqrt(np.pi/2)*Ms11) # ODD TE

# Plotting TM modes
#plt.plot(q,np.sqrt(np.pi/2)*Mc1) # EVEN TM
#plt.plot(q,np.sqrt(np.pi/2)*Ms1) # ODD TM

#Mcn1,Mcn11 = sp.mathieu_cem(n,q,z) # EVEN functions (normal or angular or SMALL)
#Msn1,Msn11 = sp.mathieu_sem(n,q,z) # ODD functions (normal or angular or SMALL)

# Plotting TE modes
#plt.plot(q,np.sqrt(np.pi/2)*Mcn11) # EVEN TE
#plt.plot(q,np.sqrt(np.pi/2)*Msn11) # ODD TE