Theoretical and Practical Aspects of Singularity and Eigenmode Expansion Methods.

摘要

In recent years a vast amount of literature has been written on singularity and eigenmode expansion methods (SEM and EEM). The main practical purpose is to produce a theory which allows us to identify a flying (or stationary target) from the observed transient field scattered by the target. This problem is discussed in the present report. We describe the basic starting points of the engineering approach to the problem, and the extent to which they are consistent from the mathematical point of view; the material which has been rigorously established in the field by the writer and other authors; the important joints in practice, and the unsolved mathematical problems in the field. The results presented may probably save efforts by other scientists and engineers since the results demonstrate the kind of research that can be used in practice and the kind which is of mostly theoretical interest.