The main objective of the paper is to overview of the actual and potential capabilities of some complex multilayers to enhance, and control the microwave absorption. Going through available literature data we emphasize the role of interphase coupling, and material resonances in enhancing phenomena of importance for internal scattering, di usions, and intrinsic material absorption of propagating EM wave, especially in microwave and mm wave ranges. The theoretical background is consequently formulated in terms of transmissions line approach.