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Electromagnetic field theory for invariant beams using scalar potentials

We present a description of the electromagnetic field for propagation invariant beams using scalar potentials. Fundamental dynamical quantities are obtained: the energy density, the Poynting vector and the Maxwell stress tensor. As an example, all these quantities are explicitly calculated for the Bessel beams, which are the invariant beams with circular cylindrical symmetry.

preprint2020arXivOpen access
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