Recent progress in numerical calculation for non planar geometries It might be nice to mention the dramatic progress in the last few years on computations of Casimir forces for complex non planar geometries Especially since the current More Recent Theory section describes developments that are 50 years old It s gone from virtually nothing nonplanar 10 years ago aside from small perturbations around planar cases or even crude uncontrolled heuristic formulas to the first cylinder plate calculation 4 years ago by Emig Kardar Jaffe et al to application of advanced computational methods from classical EM in order to compute Casimir forces for essentially any geometry demonstrated in the last 2 3 years There are a couple of ways to look at it First once you express the unknowns approximately to any desired accuracy in a finite basis the complicated functional path integrals can be turned into log determinants and the matrix you are taking the log determinant of is essentially a classical scattering matrix of some sort Second one can instead think about evaluating the mean fluctuations of the fields via the fluctuation dissipation theorem which re expresses the correlation functions in terms of classical Green s functions fields from currents that can be solved by standard classical methods The two approaches turn out to be mathematically equivalent in the end and are also equivalent to summing frequencies ala Casimir The main wrinkle from the point of view of classical EM calculations is that it turns out that you need in practice to evaluate the scattering problem at imaginary or complex frequencies where the problem becomes much nicer numerically and analytically and you need to solve many classical problems for a single Casimir problem There is a new book on Casimir Physics coming out in the Lecture Notes in Physics series on the subject of recent Casimir developments I was invited to contribute a chapter on numerical methods and I ve posted a preprint of my review article accepted in press on arXiv arXiv 1007 0996 This might make a useful reference for the Wikipedia article although I can understand if you want to wait until the book comes out in print or in any case the references contained therein see e g the references at the top of page 2 should give an idea of the scope of the recent developments I don t want to add it myself at least not without another editor taking a look because of the possible WP COI since my group is involved in the recent numerical developments