def decoupled_ellipticity_matrix(jones, ell=0., tags=[], series=None):
"""Creates a decoupled ellipticity matrix (independent angles for x and y).
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The ellipticity angle is created as a Meq.Parm by qualifying 'jones' with
'ell'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ellipticity'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
ax = Parameterization.resolve_parameter("ellipticity",
jones('angle', 'x', p),
ell,
tags=tags)
ay = Parameterization.resolve_parameter("ellipticity",
jones('angle', 'y', p),
ell,
tags=tags)
jones(p) << Meq.Matrix22(Meq.Cos(ax), Meq.ToComplex(
0, Meq.Sin(ax)), Meq.ToComplex(0, Meq.Sin(ay)), Meq.Cos(ay))
else:
ax = Parameterization.resolve_parameter("ellipticity",
jones('angle', 'x'),
ell,
tags=tags)
ay = Parameterization.resolve_parameter("ellipticity",
jones('angle', 'y'),
ell,
tags=tags)
jones << Meq.Matrix22(Meq.Cos(ax), Meq.ToComplex(0, Meq.Sin(ax)),
Meq.ToComplex(0, Meq.Sin(ay)), Meq.Cos(ay))
return jones
def ellipticity_matrix(jones, ell=0., tags=[], series=None):
"""Creates a dipole ellipticity matrix.
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The ellipticity angle is created as a Meq.Parm by qualifying 'jones' with
'ell'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ellipticity'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
angle = Parameterization.resolve_parameter("ellipticity",
jones('angle', p),
ell,
tags=tags)
cosangle = jones("cosa", p) << Meq.Cos(angle)
isinangle = jones("sina", p) << Meq.ToComplex(0, Meq.Sin(angle))
jones(p) << Meq.Matrix22(cosangle, isinangle, isinangle, cosangle)
else:
angle = Parameterization.resolve_parameter("ellipticity",
jones('angle'),
ell,
tags=tags)
cosangle = jones("cosa") << Meq.Cos(angle)
isinangle = jones("sina", p) << Meq.ToComplex(0, Meq.Sin(angle))
jones << Meq.Matrix22(cosangle, isinangle, isinangle, cosangle)
return jones
def decoupled_rotation_matrix(jones, rot=0., tags=[], series=None):
"""Creates a decoupled rotation matrix (independent angles for x and y)
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The rotation angle is created as a Meq.Parm by qualifying 'jones' with
'angle'. These Parm nodes will be tagged with the given set
of 'tags', plus 'rotation'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
ax = Parameterization.resolve_parameter("rotation",
jones('angle', 'x', p),
rot,
tags=tags)
ay = Parameterization.resolve_parameter("rotation",
jones('angle', 'y', p),
rot,
tags=tags)
jones(p) << Meq.Matrix22(Meq.Cos(ax), -Meq.Sin(ax), Meq.Sin(ay),
Meq.Cos(ay))
else:
ax = Parameterization.resolve_parameter("rotation",
jones('angle', 'x'),
rot,
tags=tags)
ay = Parameterization.resolve_parameter("rotation",
jones('angle', 'y'),
rot,
tags=tags)
jones << Meq.Matrix22(Meq.Cos(ax), -Meq.Sin(ax), Meq.Sin(ay),
Meq.Cos(ay))
return jones
def rotation_matrix(jones, rot=0., tags=[], series=None):
"""Creates a rotation matrix.
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The rotation angle is created as a Meq.Parm by qualifying 'jones' with
'angle'. These Parm nodes will be tagged with the given set
of 'tags', plus 'rotation'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
angle = Parameterization.resolve_parameter("rotation",
jones('angle', p),
rot,
tags=tags)
cosangle = jones("cosa", p) << Meq.Cos(angle)
sinangle = jones("sina", p) << Meq.Sin(angle)
jones(p) << Meq.Matrix22(cosangle, -sinangle, sinangle, cosangle)
else:
angle = Parameterization.resolve_parameter("rotation",
jones('angle'),
rot,
tags=tags)
cosangle = jones("cosa") << Meq.Cos(angle)
sinangle = jones("sina") << Meq.Sin(angle)
jones << Meq.Matrix22(cosangle, -sinangle, sinangle, cosangle)
return jones
def decoupled_rotation_matrix (jones,rot=0.,tags=[],series=None):
"""Creates a decoupled rotation matrix (independent angles for x and y)
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The rotation angle is created as a Meq.Parm by qualifying 'jones' with
'angle'. These Parm nodes will be tagged with the given set
of 'tags', plus 'rotation'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
ax = Parameterization.resolve_parameter("rotation",jones('angle','x',p),rot,tags=tags);
ay = Parameterization.resolve_parameter("rotation",jones('angle','y',p),rot,tags=tags);
jones(p) << Meq.Matrix22(Meq.Cos(ax),-Meq.Sin(ax),Meq.Sin(ay),Meq.Cos(ay));
else:
ax = Parameterization.resolve_parameter("rotation",jones('angle','x'),rot,tags=tags);
ay = Parameterization.resolve_parameter("rotation",jones('angle','y'),rot,tags=tags);
jones << Meq.Matrix22(Meq.Cos(ax),-Meq.Sin(ax),Meq.Sin(ay),Meq.Cos(ay));
return jones;
def rotation_matrix (jones,rot=0.,tags=[],series=None):
"""Creates a rotation matrix.
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The rotation angle is created as a Meq.Parm by qualifying 'jones' with
'angle'. These Parm nodes will be tagged with the given set
of 'tags', plus 'rotation'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
angle = Parameterization.resolve_parameter("rotation",jones('angle',p),rot,tags=tags);
cosangle = jones("cosa",p) << Meq.Cos(angle);
sinangle = jones("sina",p) << Meq.Sin(angle);
jones(p) << Meq.Matrix22(cosangle,-sinangle,sinangle,cosangle);
else:
angle = Parameterization.resolve_parameter("rotation",jones('angle'),rot,tags=tags);
cosangle = jones("cosa") << Meq.Cos(angle);
sinangle = jones("sina") << Meq.Sin(angle);
jones << Meq.Matrix22(cosangle,-sinangle,sinangle,cosangle);
return jones;
def decoupled_ellipticity_matrix (jones,ell=0.,tags=[],series=None):
"""Creates a decoupled ellipticity matrix (independent angles for x and y).
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The ellipticity angle is created as a Meq.Parm by qualifying 'jones' with
'ell'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ellipticity'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
ax = Parameterization.resolve_parameter("ellipticity",jones('angle','x',p),ell,tags=tags);
ay = Parameterization.resolve_parameter("ellipticity",jones('angle','y',p),ell,tags=tags);
jones(p) << Meq.Matrix22(Meq.Cos(ax),Meq.ToComplex(0,Meq.Sin(ax)),
Meq.ToComplex(0,Meq.Sin(ay)),Meq.Cos(ay));
else:
ax = Parameterization.resolve_parameter("ellipticity",jones('angle','x'),ell,tags=tags);
ay = Parameterization.resolve_parameter("ellipticity",jones('angle','y'),ell,tags=tags);
jones << Meq.Matrix22(Meq.Cos(ax),Meq.ToComplex(0,Meq.Sin(ax)),
Meq.ToComplex(0,Meq.Sin(ay)),Meq.Cos(ay));
return jones;
def ellipticity_matrix (jones,ell=0.,tags=[],series=None):
"""Creates a dipole ellipticity matrix.
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The ellipticity angle is created as a Meq.Parm by qualifying 'jones' with
'ell'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ellipticity'.
"""
# create matrix per-station, or just a single matrix
if series:
for p in series:
angle = Parameterization.resolve_parameter("ellipticity",jones('angle',p),ell,tags=tags);
cosangle = jones("cosa",p) << Meq.Cos(angle);
isinangle = jones("sina",p) << Meq.ToComplex(0,Meq.Sin(angle));
jones(p) << Meq.Matrix22(cosangle,isinangle,isinangle,cosangle);
else:
angle = Parameterization.resolve_parameter("ellipticity",jones('angle'),ell,tags=tags);
cosangle = jones("cosa") << Meq.Cos(angle);
isinangle = jones("sina",p) << Meq.ToComplex(0,Meq.Sin(angle));
jones << Meq.Matrix22(cosangle,isinangle,isinangle,cosangle);
return jones;
def gain_ap_matrix (jones,ampl=1.,phase=0.,tags=[],series=None,solvable=True):
"""Creates an amplitude-phase gain matrix of the form:
( ax*e^{i*px} 0 )
( 0 ay*e^{i*p_y} )
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The x/y amplitudes and phases are created as Meq.Parms (with initial
values 1 and 0, respectively) by qualifying 'jones' with
'xa','xp','ya','yp'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ampl' and 'phase'.
"""
if Context.observation.circular():
X,Y,XA,XP,YA,YP = 'r','l','ra','rp','la','lp';
else:
X,Y,XA,XP,YA,YP = 'x','y','xa','xp','ya','yp';
# create matrix per-station, or just a single matrix
if series:
for p in series:
xa = Parameterization.resolve_parameter("ampl",jones(p,XA),ampl,tags=tags,solvable=solvable);
#print "tags here",tags;
xp = Parameterization.resolve_parameter("phase",jones(p,XP),phase,tags=tags,solvable=solvable);
ya = Parameterization.resolve_parameter("ampl",jones(p,YA),ampl,tags=tags,solvable=solvable);
yp = Parameterization.resolve_parameter("phase",jones(p,YP),phase,tags=tags,solvable=solvable);
jones(p) << Meq.Matrix22(
jones(p,X) << Meq.Polar(xa,xp),
0,0,
jones(p,Y) << Meq.Polar(ya,yp)
);
else:
xa = Parameterization.resolve_parameter("ampl",jones(XA),ampl,tags=tags,solvable=solvable);
xp = Parameterization.resolve_parameter("phase",jones(XP),phase,tags=tags,solvable=solvable);
ya = Parameterization.resolve_parameter("ampl",jones(YA),ampl,tags=tags,solvable=solvable);
yp = Parameterization.resolve_parameter("phase",jones(YP),phase,tags=tags,solvable=solvable);
jones << Meq.Matrix22(
jones(X) << Meq.Polar(xa,xp),
0,0,
jones(Y) << Meq.Polar(ya,yp)
);
return jones;
def gain_ap_matrix(jones,
ampl=1.,
phase=0.,
tags=[],
series=None,
solvable=True):
"""Creates an amplitude-phase gain matrix of the form:
( ax*e^{i*px} 0 )
( 0 ay*e^{i*p_y} )
'jones' should be a node stub.
'series' can be a list of qualifiers to make a series of matrices.
The x/y amplitudes and phases are created as Meq.Parms (with initial
values 1 and 0, respectively) by qualifying 'jones' with
'xa','xp','ya','yp'. These Parm nodes will be tagged with the given set
of 'tags', plus 'ampl' and 'phase'.
"""
if Context.observation.circular():
X, Y, XA, XP, YA, YP = 'r', 'l', 'ra', 'rp', 'la', 'lp'
else:
X, Y, XA, XP, YA, YP = 'x', 'y', 'xa', 'xp', 'ya', 'yp'
# create matrix per-station, or just a single matrix
if series:
for p in series:
xa = Parameterization.resolve_parameter("ampl",
jones(p, XA),
ampl,
tags=tags,
solvable=solvable)
#print "tags here",tags;
xp = Parameterization.resolve_parameter("phase",
jones(p, XP),
phase,
tags=tags,
solvable=solvable)
ya = Parameterization.resolve_parameter("ampl",
jones(p, YA),
ampl,
tags=tags,
solvable=solvable)
yp = Parameterization.resolve_parameter("phase",
jones(p, YP),
phase,
tags=tags,
solvable=solvable)
jones(p) << Meq.Matrix22(
jones(p, X) << Meq.Polar(xa, xp), 0, 0,
jones(p, Y) << Meq.Polar(ya, yp))
else:
xa = Parameterization.resolve_parameter("ampl",
jones(XA),
ampl,
tags=tags,
solvable=solvable)
xp = Parameterization.resolve_parameter("phase",
jones(XP),
phase,
tags=tags,
solvable=solvable)
ya = Parameterization.resolve_parameter("ampl",
jones(YA),
ampl,
tags=tags,
solvable=solvable)
yp = Parameterization.resolve_parameter("phase",
jones(YP),
phase,
tags=tags,
solvable=solvable)
jones << Meq.Matrix22(
jones(X) << Meq.Polar(xa, xp), 0, 0,
jones(Y) << Meq.Polar(ya, yp))
return jones