In this paper we develop an analytical method for spatial shaping of diffraction- and attenuation-resistant beams carrying finite power in absorbing media. This can be achieved through suitable discrete superposition of Bessel-Gauss beams, where the approach can be seen as an extension of the frozen wave method, without the inconvenience of infinite power flux and spatial periodicity of the resulting beams.
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Zamboni‐Rached et al. (2015) studied this question.
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