def function_a20(self, m, n, l):
cv_l = get_cv(m, l, self.c1, self.particle.type)
cv_n = get_cv(m, n, self.c2, self.particle.type)
return lambda nu: conjugate(spheroidal.get_a_function(m,n,self.c2,cv_n,1,self.particle)(nu)) *\
spheroidal.get_a_function(m,l,self.c1,cv_l,1,self.particle)(nu) +\
conjugate(spheroidal.get_c_function(m,n,self.c2,cv_n,1,self.particle)(nu)) *\
spheroidal.get_b_function(m,l,self.c1,cv_l,1,self.particle)(nu)
def function_a20(self,m, n, l):
cv_l = get_cv(m, l, self.c1, self.particle.type)
cv_n = get_cv(m, n, self.c2, self.particle.type)
return lambda nu: conjugate(spheroidal.get_a_function(m,n,self.c2,cv_n,1,self.particle)(nu)) *\
spheroidal.get_a_function(m,l,self.c1,cv_l,1,self.particle)(nu) +\
conjugate(spheroidal.get_c_function(m,n,self.c2,cv_n,1,self.particle)(nu)) *\
spheroidal.get_b_function(m,l,self.c1,cv_l,1,self.particle)(nu)
def get_BRi(self):
Br = zeros((self.nmax, self.nmax), dtype=complex)
type = self.particle.type
m = 1
for i in range(self.nmax):
for k in range(self.nmax):
n = i + m
l = k + m
cv_l = get_cv(m, l, self.c2, type)
cv_n = get_cv(m, n, self.c1, type)
func = lambda nu: (spheroidal.get_a_function(m, l, self.c2, cv_l, 1, self.particle)(nu) * \
spheroidal.get_b_function(m, n, self.c1, cv_n, 1, self.particle)(nu) - \
spheroidal.get_c_function(m, l, self.c2, cv_l, 1, self.particle)(nu) * \
spheroidal.get_a_function(m, n, self.c1, cv_n, 1, self.particle)(nu)) * spheroidal.metric_phi(nu, self.particle)\
* spheroidal.get_integral_metric(self.particle)(nu)
Br[i][k] = spheroidal.quad(func, -1, 1)
return -1j * mat(Br)
def get_BRi(self):
Br = zeros((self.nmax, self.nmax), dtype=complex)
type = self.particle.type
m = 1
for i in range(self.nmax):
for k in range(self.nmax):
n = i + m
l = k + m
cv_l = get_cv(m, l, self.c2, type)
cv_n = get_cv(m, n, self.c1, type)
func = lambda nu: (spheroidal.get_a_function(m, l, self.c2, cv_l, 1, self.particle)(nu) * \
spheroidal.get_b_function(m, n, self.c1, cv_n, 1, self.particle)(nu) - \
spheroidal.get_c_function(m, l, self.c2, cv_l, 1, self.particle)(nu) * \
spheroidal.get_a_function(m, n, self.c1, cv_n, 1, self.particle)(nu)) * spheroidal.metric_phi(nu, self.particle)\
* spheroidal.get_integral_metric(self.particle)(nu)
Br[i][k] = spheroidal.quad(func, -1, 1)
return -1j * mat(Br)
def get_A(self, c2,c1,rank):
A = zeros((self.nmax, self.nmax),dtype=complex)
type = self.particle.type
m = 1
for i in range(self.nmax):
for k in range(self.nmax):
l = i + m
n = k + m
cv_l = get_cv(m, l, c2, type)
cv_n = get_cv(m, n, c1, type)
if (self.particle.spheroid):
func = lambda nu: ang1_cv(m, l, c2, cv_l, type, nu)[0] * ang1_cv(m, n, c1, cv_n, type, nu)[0]
A[i][k] = spheroidal.quad(func, -1, 1) * rad_cv(m, l, c2, type, rank, self.particle.psi)[0]
else:
func = lambda nu: spheroidal.get_a_function(m, l, c2, rank, self.particle)(nu) * ang1_cv(m, n, c1, cv_n, type, nu)[0]
A[i][k] = spheroidal.quad(func, -1, 1)
return mat(A)
def get_A(self, c2, c1, rank):
A = zeros((self.nmax, self.nmax), dtype=complex)
type = self.particle.type
m = 1
for i in range(self.nmax):
for k in range(self.nmax):
l = i + m
n = k + m
cv_l = get_cv(m, l, c2, type)
cv_n = get_cv(m, n, c1, type)
if (self.particle.spheroid):
func = lambda nu: ang1_cv(m, l, c2, cv_l, type, nu)[
0] * ang1_cv(m, n, c1, cv_n, type, nu)[0]
A[i][k] = spheroidal.quad(func, -1, 1) * rad_cv(
m, l, c2, type, rank, self.particle.psi)[0]
else:
func = lambda nu: spheroidal.get_a_function(
m, l, c2, rank, self.particle)(nu) * ang1_cv(
m, n, c1, cv_n, type, nu)[0]
A[i][k] = spheroidal.quad(func, -1, 1)
return mat(A)