Airy beam propagation: autofocusing, quasi-adiffractional propagation, and self-healing

We study the propagation of superpositions of Airy beams and show that, by adequately choosing the parameters in the superposition, effects as opposite as autofocusing and quasi-adiffractional propagation may be obtained. We also give a simple analytical expression for free propagation of any initia...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2021-05, Vol.38 (5), p.711-718
Hauptverfasser: Anaya-Contreras, Jorge A, Zúñiga-Segundo, Arturo, Moya-Cessa, Héctor M
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container_title Journal of the Optical Society of America. A, Optics, image science, and vision
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creator Anaya-Contreras, Jorge A
Zúñiga-Segundo, Arturo
Moya-Cessa, Héctor M
description We study the propagation of superpositions of Airy beams and show that, by adequately choosing the parameters in the superposition, effects as opposite as autofocusing and quasi-adiffractional propagation may be obtained. We also give a simple analytical expression for free propagation of any initial field, based on so-called number states (eigenstates of the quantum harmonic oscillator), that allows us to study their self-healing properties.
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title Airy beam propagation: autofocusing, quasi-adiffractional propagation, and self-healing
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