Spatio-spectral maximum entropy method. I. Formulation and test

Document Type

Article

Publication Date

1-10-2006

Abstract

The spatio-spectral maximum entropy method (SSMEM) has been developed by Komm and coworkers in 1997 for use with solar multifrequency interferometric observation. In this paper we further improve the formulation of the SSMEM to establish it as a tool for astronomical imaging spectroscopy. We maintain their original idea that spectral smoothness at neighboring frequencies can be used as an additional a priori assumption in astrophysical problems and that this can be implemented by adding a spectral entropy term to the usual maximum entropy method (MEM) formulation. We, however, address major technical difficulties in introducing the spectral entropy into the imaging problem that are not encountered in the conventional MEM. These include calculation of the spectral entropy in a generally frequency-dependent map grid, simultaneous adjustment of the temperature variables and Lagrangian multipliers in the spatial and spectral domain, and matching the solutions to the observational constraints at a large number of frequencies. We test the performance of the SSMEM in comparison with the conventional MEM. © 2006, The American Astronomical Society. All rights reserved.

Identifier

32044470479 (Scopus)

Publication Title

Astrophysical Journal

External Full Text Location

https://doi.org/10.1086/498225

e-ISSN

15384357

ISSN

0004637X

First Page

1159

Last Page

1165

Issue

2 I

Volume

636

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