Solving the multi-frequency electromagnetic inverse source problem by the Fourier method
For researchers in inverse problems, this provides a novel theoretical framework for vector electromagnetic source reconstruction, but it is an incremental extension of existing Fourier methods from scalar to vector case.
This paper tackles the multi-frequency electromagnetic inverse source problem for Maxwell's equations, proposing a Fourier-based method with polarization vector decomposition. Numerical examples demonstrate feasibility and effectiveness, though no concrete performance numbers are given.
This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method.