Abstract: With the integration of electromagnetic devices, the modules that make up the devices and the functions that the devices needed to achieve are becoming more and more diverse. The coupling between the modules is difficult to ignore, the difficulty of design increases sharply, and traditional design methods are gradually inadequate. It is urgent to find a new comprehensive electromagnetic design method. This paper uses the spatio-temporal synchronous focusing characteristics of time-reversed electromagnetic waves to explore the possibility of applying time-reversal technique to device design. First, based on the general device inverse design process, using time-reversal technique, dyadic Green's function and the basic principles of electromagnetics, a method of converting the port field distribution into the internal field distribution of the device is proposed. It is also proved that the continuous equivalent source obtained by the time-reversed field at a certain position in space can produce a field distribution close to the desired field at the port. In the single frequency inverse design process, only the tangential component of the electric field or magnetic field of the port is needed to know. Then, with the help of the reciprocity of Green's function, the above theory is transformed to facilitate numerical simulation. This numerical simulation realizes reconstruction of the amplitude distribution source and the phase distribution source. It should be noted that amplitude distribution source and phase distribution source are all randomly constructed. Numerical simulation verification was completed in two different environments and a variety of different initial conditions. All the simulation results are consistent with the theory, which proves that it is feasible to apply time-reversal technique to the inverse design of electromagnetic devices.

Keywords: 
• Time-reversal /
• Inverse design /
• Green's function