This page contains some useful notes and presentations relating to the Radio Interferometry Measurement Equation (RIME).
Recent papers
A recent series of papers by Oleg explains the RIME as interpreted by MeqTrees, so these are probably the best place to start:
Revisiting the radio interferometer measurement equation. I. A full-sky Jones formalism
II. Calibration and direction-dependent effects
III. Addressing direction-dependent effects in 21 cm WSRT observations of 3C 147
Paper IV in this series shows where MeqTrees may be going in the future:
IV. A generalised tensor formalism.
Historical papers
Here are the three original papers by Hamaker, Bregman and Sault. These used the 4x4 formalism:
HBS_one.pdf HBS_two.pdf HBS_three.pdf
In paper IV (Hamaker_four.pdf), Johan Hamaker reinterpreted everything using 2x2 matrices. This is the approach used in MeqTrees, and in Oleg's papers above.
A discussion which tackles a lot of practical issues relating to telescope calibration is given in JEN's famous AIPS++ Note 185. aips++_note185.pdf. Most of this has been assimilated by (and reinterpreted in) the MeqTrees ReferencePapers, and in Oleg's papers.