On the Local Separation of E and B Polarization Patterns in CMBR
| dc.creator | Chiueh, Tzihong | |
| dc.date | 2000-10-21 | |
| dc.date | 2000-12-13 | |
| dc.date.accessioned | 2026-07-07T01:56:09Z | |
| dc.date.available | 2026-07-07T01:56:09Z | |
| dc.description | The work examines the small-scale E and B patterns of the CMBR polarization anisotropy. Particularly we address the topological natures and spatial symmetries of the E and B modes, and how one may make use of the local measurements of Stokes parameters to separate these two modes. The analysis of a local map in the Fourier space for separating the E and B modes can be an ill-defined problem, due to the non-periodic boundary condition in the map for each mode. A strategy for the E-B separation in a local map can be through an appropriate projection of the polarization tensor field into a unique vector field, which naturally contains a curl-free E component and a divergence-free B component. An integral method, equivalent to the real-space, top-hat filtering, is proposed for extracting the smoothed "charge" and "current" of the E and B modes separately. The top-hat filter function exhibits, in its power spectrum, an oscillation of a well-defined frequency comparable to the filter size. It is pointed out that when the inverse filter size is chosen properly, matching the oscillation period in the E-mode power spectrum, the sensitivity for the E-mode detection can be made to be significantly improved. | |
| dc.description | 12 pages, no figure. submitted to ApJ Lett.. Changed contents with more discussions added | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0010433 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0010433 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/1894 | |
| dc.subject | Astrophysics | |
| dc.title | On the Local Separation of E and B Polarization Patterns in CMBR | |
| dc.type | text |