Energy Accumulation in a Functionally Graded Spatial-Temporal Checkerboard

Abstract

This letter extends the analysis of wave propagation in transmission lines with LC-parameters varying in space and time and the related effect of energy accumulation emerging from the concept of dynamic materials. We consider a practically important scenario of functionally graded checkerboard in space and time, i.e., the assembly combined of two dielectrics with material property transition zones applied instead of sharp interfaces. It is shown that the energy accumulation in traveling waves is preserved for certain ranges of material and geometric parameters.