Generalized Spherical Harmonics for All-Sky Polarization Studies

P.B. Keegstra
Hughes STX

C.L. Bennett
NASA GSFC

G.F. Smoot
UC Berkeley and LBL

K.M. Gorski, G. Hinshaw
Hughes STX

L. Tenorio
UC Berkeley and LBL

Session ID: P5.10   Type: poster

Abstract:

When all-sky linear polarization is expressed in terms of Stokes parameters Q and U, as in analyzing polarization results form the Differential Microwave Radiometers (DMR) on NASA's Cosmic Background Explorer (COBE), coordinate transformations produce a mixing of Q and U. Consequently it is inappropriate to expand Q and U in ordinary spherical harmonics. The proper expansion expresses both Q and U simultaneously in terms of a particular class of generalized spherical harmonics. Details of this expansion and its application to DMR will be presented.





Patrick P. Murphy
Wed Sep 11 09:50:29 EDT 1996