System equivalent flux density of Stokes I, Q, U, and V of a polarimetric interferometer
Abstract
Aims: We present the system equivalent flux density (SEFD) expressions for all four Stokes parameters: I, Q, U, and V.
Methods: The expressions were derived based on our derivation of SEFD I (for Stokes I) and subsequent extensions of that work to phased array and multipole interferometers. The key to the derivation of the SEFD Q, U, and V expressions is to recognize that the noisy estimates of Q, U, and V can be written as the trace of a matrix product. This shows that the SEFD I is a special case, where the general case involves a diagonal or antidiagonal 2 × 2 matrix interposed in the matrix multiplication. Following this step, the relation between the SEFD for I as well as Q, U, and V immediately becomes evident.
Results: We present example calculations for a crossed dipole based on the formulas derived and the comparison between simulation and observation using the Murchison Widefield Array (MWA).
 Publication:

Astronomy and Astrophysics
 Pub Date:
 August 2022
 DOI:
 10.1051/00046361/202243512
 arXiv:
 arXiv:2205.15579
 Bibcode:
 2022A&A...664A.102S
 Keywords:

 instrumentation: polarimeters;
 techniques: miscellaneous;
 techniques: polarimetric;
 methods: data analysis;
 methods: analytical;
 methods: observational;
 Astrophysics  Instrumentation and Methods for Astrophysics
 EPrint:
 6 pages, 4 figures. Accepted for publication in A&