Abstract
A novel simulation technique is proposed for the radiation properties of time-varying media. This method divides the time-variation process into finite discrete time steps. The radiation field of the media at each instant in time is simulated by using commercially available frequency-domain solvers, and then these results are processed and synthesized to obtain the radiation field of the time-varying media. In other words, by using this technique, the radiation field of the time-varying media can be obtained based on the frequency-domain simulation results. The proposed technique is introduced with a time-varying grating, and the scattered wave and radiation pattern are illustrated. Moreover, an analytical model of the time-varying grating is also introduced to further explore the proposed technique. This simulation technique can be used to analyze many applications such as the radiation properties of time-modulated media, especially space-time-modulated metamaterials. It fills the gap of existing simulation methods and provides a new way for direct EM simulation of time-varying structures.
Highlights
Time modulation has gathered a lot of attention recently since it provides one more dimension to the design of circuits and antennas
This work proposes a new way to simulate time-varying media placed in arbitrary scattering environments based on frequency-domain solutions
The proposed method can be used to perform time-domain analysis based on the results simulated
Summary
Time modulation has gathered a lot of attention recently since it provides one more dimension to the design of circuits and antennas. This work proposes a new way to simulate time-varying media placed in arbitrary scattering environments based on frequency-domain solutions. By using this method, we can take advantage of the well-developed and widely-available commercial frequencydomain simulation tools to solve the time-varying problem of actual models. NUMERICAL METHOD A time-varying grating, as shown, is analyzed as an example to concisely introduce the proposed method, which is a simplified model of space-time modulated metasurfaces. When the strips of the grating moves with the velocity v, simulating the time modulation, the scattered wave cannot be directly simulated by the existing frequency-domain simulation tools. Numerical computing tools, such as Matlab, can be used to construct the discrete time-domain waveform
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