The dipole non-harmonic electromagnetic fields are derived from the Hertzian vectors expressed using an orthonormal basis set of the finite-energy Hermite-Gaussian functions. Upon application of the Fourier transform operation's eigendecomposition, four sets of the expansion coefficients are introduced. The time and space-limited function describing the dipole excitation as well as its Fourier transform are then expressed through the appropriate couples of introduced functions. The numerical calculation of dipole-radiated fields produced by a given Hertzian vector are presented and their properties are discussed.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.