ABSTRACT
STatistical ElectroMagnetics in an enclosure is largely based on consideration of simultaneous excitation of a large number of enclosure eigenmodes. To this end, the authors present a review of eigenmode definitions and techniques for lossy, leaky cavities. In this chapter, they deal with cavities containing inhomogeneous fill that may be lossy, but not so lossy that Q is less than 6 or so. Apertures may also be present, further reducing the Q. The use of a Lagrangian is a handy technique for manipulating Maxwell’s equations, especially when energy densities are involved and one has not yet reached the stage of introducing loss. If one wishes to work with E-fields, there are three common variants of the Lagrangian.
