Next: polalm
Up: GLESP Description and Examples
Previous: ntot
Description
polmap synthesizes CMB temperature and polarization
maps from
spherical harmonic coefficients and polarization mode coefficients
and .

(6) 
To synthesize a map,
polmap
can process an file either in FITS Binary Extensionlike or
in ASCII format, or can read
an ASCII string of .
If the input is a power spectrum or (where the ASCII
data have
to be in units of , and unitless),
polmap generates
a Gaussian map of CMB anisotropies by assigning
the = COMPLEX(, ) mutually independent Gaussiandistributed
real () and imaginary part (), both with a standard
deviation
at each harmonic.
To synthesize polarization maps of Stokesparameters Q and U,
polmap
can process 3alm file containing , and data, separate
and files and file either
in FITS Binary Extensionlike or
in ASCII format, or can read
an ASCII strings of and .
Maps of the Stokes parameters and are calculated with the potentials
and as follows:

(7) 
and operators and are:

(8) 
where .

(9) 

(10) 

(11) 
Here and are the associated Legendre
functions (ordinary and normalized) and and
(of B and Emodes) are the coefficients of decomposition
characterizing properties of polarization.
See other details in the correpsnoding paper of GLESP 2.0.
Examples
 Synthesizing an anisotropy map from given spherical harmonic
coefficients (a, as)

polmap a alm.fits t map.fits nx 250 np 500 lmax 100
synthesizes the map from input FITS file 'alm.fits' and writes to the
file '
map.fits' with resolution (250,500). The maximum multipole
number is 100.

polmap as "2,1,1,0" t map.y21.fits nx 100 np 200 lmax 4
synthesizes a map from the string '"2,1,1,0"' ( )
and writes to the
file '
map.y21.fits'.
The resolution of the map is (100,200).
The maximum multipole number is 4.

polmap a alm.txt L 1 t map.dipole.fits nx 50 np 100
synthesizes the dipole map from the input ASCII file '
alm.txt' and
writes to the file '
map.dipole.fits'.
The resolution of this dipole
map is (50, 100).
 Gaussian random map simulation from a given angular
power spectrum (Dl, Cl):
 Synthesizing maps of Q and U Stokes parameters
unisg given scalar and pseudosacalar harmonic
coefficients (E and Bmodes)
Next: polalm
Up: GLESP Description and Examples
Previous: ntot
Verkhodanov Oleg
20090401