Poynting vector for Cauchy-Riemann beams
Abstract
We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with g ∈ C. The effect generated by this Gaussian modulation is a compression-expansion of the intensity distribution. It is shown that the parameter g can reverse the direction of energy flux and eliminate the radial component, resulting in a purely azimuthal field. Additionally, we validate our analytical results through experimental verification.
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