Inverse Continuous Numerical Fourier Transform for Transient Analysis of Electromagnetic Phenomena

This paper presents a novel numerical algorithm for solving the inverse Fourier transform of an arbitrary transient function. The inverse Fourier integral is solved by linearizing only the mildly oscillatory solution function over a set of frequency samples in the frequency domain, and then using an analytical integration to obtain a continuous transient function in the time domain. The proposed algorithm, based on the finite element technique, in combination with the previously developed algorithm for continuous numerical Fourier transform represents a powerful tool for any frequency-domain-based transient analysis.