Energy Accumulation in Waves Propagating in Space- and Time-Varying Transmission Lines

This letter introduces a new principle of energy accumulation in transmission lines with the LC parameters varying in space and time-an effect emerging from the concept of dynamic materials. We consider a checkerboard material assembly created by a periodic temporal “flip over” of the properties of spatial laminates fabricated from two different substances. In some extended ranges of material and structural parameters, an exponential growth of energy is maintained in waves traveling through this assembly due to the work done by an external source at the moments of temporal property switching. The effect is numerically demonstrated for an equivalent LC circuit.