def compute(i):
s = res.loc[i, 'Dmax']
start = time.time()
print(res.loc[i])
if res.loc[i].hasnans():
print('computing')
density = rho(s)
m = refractive.mi(wl, density)
scatterer = Scatterer(radius=0.5 * s,
wavelength=wl,
m=m,
axis_ratio=1.0 / ar,
radius_type=Scatterer.RADIUS_MAXIMUM)
scatterer.set_geometry(tmatrix_aux.geom_vert_back)
scatterer.orient = orientation.orient_averaged_fixed
scatterer.or_pdf = orientation.uniform_pdf()
res.loc[i, 'f'] = f
res.loc[i, 'wl'] = wl
res.loc[i, 'rho'] = density
res.loc[i, 'mr'] = m.real
res.loc[i, 'mi'] = m.imag
res.loc[i, 'Dmax'] = s
res.loc[i, 'Csca'] = scatter.sca_xsect(scatterer)
res.loc[i, 'Cbk'] = scatter.sca_intensity(scatterer)
res.loc[i, 'sigmabk'] = radar.radar_xsect(scatterer)
res.loc[i, 'Cext'] = scatter.ext_xsect(scatterer)
res.loc[i, 'g'] = scatter.asym(scatterer)
res.to_csv(savename)
end = time.time()
print(s, end - start)
def Ai(scatterer, h_pol=True):
"""
Specific attenuation (A) for the current setup.
Parameters:
h_pol (default True): compute attenuation for the horizontal
polarization. If False, use vertical polarization.
Returns:
A [dB/km].
NOTE: This only returns the correct value if the particle diameter and
wavelength are given in [mm]. The scatterer object should be set to
forward scattering geometry before calling this function.
"""
return 4.343e-3 * ext_xsect(scatterer, h_pol=h_pol)
def test_against_mie(self):
"""Test scattering parameters against Mie results
"""
# Reference values computed with the Mie code of Maetzler
sca_xsect_ref = 4.4471684294079958
ext_xsect_ref = 7.8419745883848435
asym_ref = 0.76146646088675629
sca = Scatterer(wavelength=1, radius=1, m=complex(3.0,0.5))
sca_xsect = scatter.sca_xsect(sca)
ext_xsect = scatter.ext_xsect(sca)
asym = scatter.asym(sca)
test_less(self, abs(1-sca_xsect/sca_xsect_ref), 1e-6)
test_less(self, abs(1-ext_xsect/ext_xsect_ref), 1e-6)
test_less(self, abs(1-asym/asym_ref), 1e-6)
def test_against_mie(self):
"""Test scattering parameters against Mie results
"""
# Reference values computed with the Mie code of Maetzler
sca_xsect_ref = 4.4471684294079958
ext_xsect_ref = 7.8419745883848435
asym_ref = 0.76146646088675629
sca = Scatterer(wavelength=1, radius=1, m=complex(3.0, 0.5))
sca_xsect = scatter.sca_xsect(sca)
ext_xsect = scatter.ext_xsect(sca)
asym = scatter.asym(sca)
test_less(self, abs(1 - sca_xsect / sca_xsect_ref), 1e-6)
test_less(self, abs(1 - ext_xsect / ext_xsect_ref), 1e-6)
test_less(self, abs(1 - asym / asym_ref), 1e-6)
def Ai(scatterer, h_pol=True):
"""
Specific attenuation (A) for the current setup.
Parameters:
h_pol (default True): compute attenuation for the horizontal
polarization. If False, use vertical polarization.
Returns:
A [dB/km].
NOTE: This only returns the correct value if the particle diameter and
wavelength are given in [mm]. The scatterer object should be set to
forward scattering geometry before calling this function.
"""
return 4.343e-3 * ext_xsect(scatterer, h_pol=h_pol)
def _compute_single_size(self, d):
ar = self.aspect_ratio_func(d)
rain = Scatterer(radius=0.5 * d,
wavelength=self.wl,
m=self.n,
axis_ratio=1.0 / ar)
rain.Kw_sqr = self.K2
if self.canting is not None:
rain.or_pdf = orientation.gaussian_pdf(std=self.canting)
rain.orient = orientation.orient_averaged_fixed
# Set backward scattering for reflectivity calculations
rain.set_geometry((self._theta0, self._theta0, 0., 180., 0., 0.))
rxsh = radar.radar_xsect(rain, h_pol=True)
rxsv = radar.radar_xsect(rain, h_pol=False)
# Set forward scattering for attenuation and phase computing
rain.set_geometry((self._theta0, self._theta0, 0., 0., 0., 0.))
ext = scatter.ext_xsect(rain)
skdp = radar.Kdp(rain)
# Calculate Rayleigh approximation for reference
ray = self.prefactor * d**6
#print(d, rxsh, rxsv, ext, ray, skdp, ar)
return rxsh, rxsv, ext, ray, skdp, ar
def init_scatter_table(self, tm, angular_integration=False, verbose=False):
"""Initialize the scattering lookup tables.
Initialize the scattering lookup tables for the different geometries.
Before calling this, the following attributes must be set:
num_points, m_func, axis_ratio_func, D_max, geometries
and additionally, all the desired attributes of the Scatterer class
(e.g. wavelength, aspect ratio).
Args:
tm: a Scatterer instance.
angular_integration: If True, also calculate the
angle-integrated quantities (scattering cross section,
extinction cross section, asymmetry parameter). These are
needed to call the corresponding functions in the scatter
module when PSD integration is active. The default is False.
verbose: if True, print information about the progress of the
calculation (which may take a while). If False (default),
run silently.
"""
self._psd_D = np.linspace(self.D_max / self.num_points, self.D_max,
self.num_points)
self._S_table = {}
self._Z_table = {}
self._previous_psd = None
self._m_table = np.empty(self.num_points, dtype=complex)
if angular_integration:
self._angular_table = {
"sca_xsect": {},
"ext_xsect": {},
"asym": {}
}
else:
self._angular_table = None
(old_m, old_axis_ratio, old_radius, old_geom, old_psd_integrator) = \
(tm.m, tm.axis_ratio, tm.radius, tm.get_geometry(),
tm.psd_integrator)
try:
# temporarily disable PSD integration to avoid recursion
tm.psd_integrator = None
for geom in self.geometries:
self._S_table[geom] = \
np.empty((2,2,self.num_points), dtype=complex)
self._Z_table[geom] = np.empty((4, 4, self.num_points))
if angular_integration:
for int_var in ["sca_xsect", "ext_xsect", "asym"]:
self._angular_table[int_var][geom] = \
np.empty(self.num_points)
for (i, D) in enumerate(self._psd_D):
if verbose:
print("Computing point {i} at D={D}...".format(i=i, D=D))
if self.m_func != None:
tm.m = self.m_func(D)
if self.axis_ratio_func != None:
tm.axis_ratio = self.axis_ratio_func(D)
self._m_table[i] = tm.m
tm.radius = D / 2.0
for geom in self.geometries:
tm.set_geometry(geom)
(S, Z) = tm.get_SZ_orient()
self._S_table[geom][:, :, i] = S
self._Z_table[geom][:, :, i] = Z
if angular_integration:
self._angular_table["sca_xsect"][geom][i] = \
scatter.sca_xsect(tm)
self._angular_table["ext_xsect"][geom][i] = \
scatter.ext_xsect(tm)
self._angular_table["asym"][geom][i] = \
scatter.asym(tm)
finally:
#restore old values
(tm.m, tm.axis_ratio, tm.radius, tm.psd_integrator) = \
(old_m, old_axis_ratio, old_radius, old_psd_integrator)
tm.set_geometry(old_geom)
Nc = 1
Nl = 1
xr = np.ndarray((Nc, Nl), dtype=np.float64)
mr = np.ndarray((Nc, Nl), dtype=np.complex128)
xr[:, 0] = x
mr[:, 0] = m
thetas = np.linspace(0.0, np.pi, 180)
terms, Qe, Qs, Qa, Qb, Qp, g, ssa, S1, S2 = scattnlay(xr, mr, theta=thetas)
print(S1[0, -1] / k, S2[0, -1] / k)
s1 = S1[0, 0] / k
s2 = S2[0, 0] / k
SM = 0.0 * S
SM[0, 0] = -1.0j * s2
SM[1, 1] = -1.0j * s1
print("Cext = ", scatter.ext_xsect(scatterer), Qe[0] * r * r * np.pi)
print("Csca = ", scatter.sca_xsect(scatterer), Qs[0] * r * r * np.pi)
print("Cbck = ", radar.radar_xsect(scatterer), Qb[0] * r * r * np.pi)
print(S[0, 0].real / S1[0, 0].real)
print(S[0, 0].imag / S1[0, 0].imag)
print(S[1, 1].real / S2[0, 0].real)
print(S[1, 1].imag / S2[0, 0].imag)
Z11 = 0.5 * (abs(s1)**2 + abs(s2)**2)
Z33 = 0.5 * (s1 * s2.conjugate() + s1.conjugate() * s2)
print(Z[0, 0] / Z11)
print(Z[2, 2] / Z33)
def init_scatter_table(self, tm, angular_integration=False, verbose=False):
"""Initialize the scattering lookup tables.
Initialize the scattering lookup tables for the different geometries.
Before calling this, the following attributes must be set:
num_points, m_func, axis_ratio_func, D_max, geometries
and additionally, all the desired attributes of the Scatterer class
(e.g. wavelength, aspect ratio).
Args:
tm: a Scatterer instance.
angular_integration: If True, also calculate the
angle-integrated quantities (scattering cross section,
extinction cross section, asymmetry parameter). These are
needed to call the corresponding functions in the scatter
module when PSD integration is active. The default is False.
verbose: if True, print information about the progress of the
calculation (which may take a while). If False (default),
run silently.
"""
self._psd_D = np.linspace(self.D_max/self.num_points, self.D_max,
self.num_points)
self._S_table = {}
self._Z_table = {}
self._previous_psd = None
self._m_table = np.empty(self.num_points, dtype=complex)
if angular_integration:
self._angular_table = {"sca_xsect": {}, "ext_xsect": {},
"asym": {}}
else:
self._angular_table = None
(old_m, old_axis_ratio, old_radius, old_geom, old_psd_integrator) = \
(tm.m, tm.axis_ratio, tm.radius, tm.get_geometry(),
tm.psd_integrator)
try:
# temporarily disable PSD integration to avoid recursion
tm.psd_integrator = None
for geom in self.geometries:
self._S_table[geom] = \
np.empty((2,2,self.num_points), dtype=complex)
self._Z_table[geom] = np.empty((4,4,self.num_points))
if angular_integration:
for int_var in ["sca_xsect", "ext_xsect", "asym"]:
self._angular_table[int_var][geom] = \
np.empty(self.num_points)
for (i,D) in enumerate(self._psd_D):
if verbose:
print("Computing point {i} at D={D}...".format(i=i, D=D))
if self.m_func != None:
tm.m = self.m_func(D)
if self.axis_ratio_func != None:
tm.axis_ratio = self.axis_ratio_func(D)
self._m_table[i] = tm.m
tm.radius = D/2.0
for geom in self.geometries:
tm.set_geometry(geom)
(S, Z) = tm.get_SZ_orient()
self._S_table[geom][:,:,i] = S
self._Z_table[geom][:,:,i] = Z
if angular_integration:
self._angular_table["sca_xsect"][geom][i] = \
scatter.sca_xsect(tm)
self._angular_table["ext_xsect"][geom][i] = \
scatter.ext_xsect(tm)
self._angular_table["asym"][geom][i] = \
scatter.asym(tm)
finally:
#restore old values
(tm.m, tm.axis_ratio, tm.radius, tm.psd_integrator) = \
(old_m, old_axis_ratio, old_radius, old_psd_integrator)
tm.set_geometry(old_geom)
