I love the feeling right after submitting a paper for publication. One just went off yesterday. Since my sabbatical is winding down, and I’m now acting department chair, I’m glad to have gotten this finished before the semester starts.
This one’s pretty specialized, likely to be of interest only to people who analyze microwave background polarization maps. Here’s the abstract, in case you care:
Separation of the B component of a cosmic microwave background (CMB) polarization map from the much larger E component is an essential step in CMB polarimetry. For a map with incomplete sky coverage, this separation is necessarily hampered by the presence of “ambiguous” modes which could be either E or B modes. I present an efficient pixel-space algorithm for removing the ambiguous modes and separating the map into “pure” E and B components. The method, which works for arbitrary geometries, does not involve generating a complete basis of such modes and scales the cube of the number of pixels on the boundary of the map.