An introduction to wavelets in electromagnetics

Lately, wavelets have received considerable attention in the electromagnetics (EM) community. They have been applied as basis functions for the efficient solution of EM integral equations and partial-differential equations (PDEs) in the form of Maxwell's equations. Despite hundreds of books and thousands of articles available on the subject, the concept of wavelets can be intimidating to a beginner. This is due to the fact that much of the current literature uses highly sophisticated mathematical terms. The aim of this article is to provide a clear, simple introduction to this exciting field to meet the needs of microwave engineering researchers who may wish to apply wavelet analysis to their work.