Transfer matrix method for the analysis of space-time-modulated media and systems

Space-time modulation adds another powerful degree of freedom to the manipulation of classical wave systems. It opens the door for complex control of wave behavior beyond the reach of stationary systems, such as nonreciprocal wave transport and realization of gain media. Here we generalize the transfer matrix method and use it to create a general framework to solve wave propagation problems in time-varying acoustic, electromagnetic, and electric circuit systems. The proposed method provides a versatile approach for the study of general space-time-varying systems, which allows any number of time-modulated elements with an arbitrary modulation profile, facilities the investigation of high-order modes, and provides an interface between space-time-modulated systems and other systems.

Duke Scholars

Author Steven A. Cummer Electrical and Computer Engineering