Accelerating Self-Imaging: The Airy-Talbot Effect
- PMID: 26182098
- DOI: 10.1103/PhysRevLett.115.013901
Accelerating Self-Imaging: The Airy-Talbot Effect
Abstract
We present a new type of self-imaging phenomenon: self-imaging along curved trajectories. Unlike the Talbot effect, where self-imaging occurs for periodic wave patterns propagating along a straight line, here the field is generally not periodic and is self-imaged along curved trajectories. In the paraxial regime, self-imaging along a parabolic trajectory can ideally go on indefinitely. In the nonparaxial regime the self-imaging is along a circular trajectory and lasts as long as the beam bends. We demonstrate this accelerating self-imaging effect experimentally, and discuss generalizations to higher dimensions.
Similar articles
-
Period-reversal accelerating self-imaging and multi-beams interference based on accelerating beams in parabolic optical potentials.Opt Express. 2020 Jul 6;28(14):20007-20015. doi: 10.1364/OE.395967. Opt Express. 2020. PMID: 32680069
-
Nonparaxial Mathieu and Weber accelerating beams.Phys Rev Lett. 2012 Nov 9;109(19):193901. doi: 10.1103/PhysRevLett.109.193901. Epub 2012 Nov 7. Phys Rev Lett. 2012. PMID: 23215384
-
Rapidly accelerating Mathieu and Weber surface plasmon beams.Phys Rev Lett. 2014 Sep 19;113(12):123902. doi: 10.1103/PhysRevLett.113.123902. Epub 2014 Sep 15. Phys Rev Lett. 2014. PMID: 25279631
-
Dual accelerating Airy-Talbot recurrence effect.Opt Lett. 2015 Dec 15;40(24):5742-5. doi: 10.1364/OL.40.005742. Opt Lett. 2015. PMID: 26670501
-
Fractional nonparaxial accelerating Talbot effect.Opt Lett. 2016 Jul 15;41(14):3273-6. doi: 10.1364/OL.41.003273. Opt Lett. 2016. PMID: 27420513
Cited by
-
Superwavelength self-healing of spoof surface sonic Airy-Talbot waves.Nat Commun. 2023 Nov 22;14(1):7633. doi: 10.1038/s41467-023-43379-9. Nat Commun. 2023. PMID: 37993444 Free PMC article.
-
Conformally Mapped Multifunctional Acoustic Metamaterial Lens for Spectral Sound Guiding and Talbot Effect.Research (Wash D C). 2019 Nov 12;2019:1748537. doi: 10.34133/2019/1748537. eCollection 2019. Research (Wash D C). 2019. PMID: 31912027 Free PMC article.
-
Diffraction-free beams in fractional Schrödinger equation.Sci Rep. 2016 Apr 21;6:23645. doi: 10.1038/srep23645. Sci Rep. 2016. PMID: 27097656 Free PMC article.
LinkOut - more resources
Full Text Sources