Elliptical vortex necklaces in Mathieu lattices
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Authors
Vasiljevic, Jadranka MZannotti, Alessandro
Timotijević, Dejan
Denz, Cornelia
Jović Savić, Dragana M.
Article (Published version)
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American Physical Society
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We demonstrate unusual kinds of discrete vortex beams, elliptical necklaces, realized by Mathieu photonic lattices. Varying the order of the Mathieu lattices and their ellipticity, we can control the shape and size of such necklaces. Besides stable vortex states, we observe oscillatory dipole states or dynamical instabilities and study their orbital angular momentum. Dynamical instabilities occur for higher beam power and higher-order vortices. Also the decay of higher-order phase singularities and their separation is observed in dependence on the ellipticity.
Keywords:
vortex, necklaces, elliptic geometry, photonic lattices, stable solitonsSource:
Phys. Rev. A, 2018, 97Publisher:
- Physical Review A
Funding / projects:
- German Academic Exchange Service (Project No. 57219089)
- Qatar National Research Fund (NPRP No. 7-665-1-125)
- Nonlinear photonics of inhomogeneous media and surfaces (RS-MESTD-Basic Research (BR or ON)-171036)
DOI: https://doi.org/10.1103/PhysRevA.97.033848
ISSN: 2469-9926 (print) 2469-9934 (online)
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Institut za multidisciplinarna istraživanjaTY - JOUR AU - Vasiljevic, Jadranka M AU - Zannotti, Alessandro AU - Timotijević, Dejan AU - Denz, Cornelia AU - Jović Savić, Dragana M. PY - 2018 UR - http://rimsi.imsi.bg.ac.rs/handle/123456789/3019 AB - We demonstrate unusual kinds of discrete vortex beams, elliptical necklaces, realized by Mathieu photonic lattices. Varying the order of the Mathieu lattices and their ellipticity, we can control the shape and size of such necklaces. Besides stable vortex states, we observe oscillatory dipole states or dynamical instabilities and study their orbital angular momentum. Dynamical instabilities occur for higher beam power and higher-order vortices. Also the decay of higher-order phase singularities and their separation is observed in dependence on the ellipticity. PB - Physical Review A T2 - Phys. Rev. A T1 - Elliptical vortex necklaces in Mathieu lattices VL - 97 DO - https://doi.org/10.1103/PhysRevA.97.033848 ER -
@article{ author = "Vasiljevic, Jadranka M and Zannotti, Alessandro and Timotijević, Dejan and Denz, Cornelia and Jović Savić, Dragana M.", year = "2018", abstract = "We demonstrate unusual kinds of discrete vortex beams, elliptical necklaces, realized by Mathieu photonic lattices. Varying the order of the Mathieu lattices and their ellipticity, we can control the shape and size of such necklaces. Besides stable vortex states, we observe oscillatory dipole states or dynamical instabilities and study their orbital angular momentum. Dynamical instabilities occur for higher beam power and higher-order vortices. Also the decay of higher-order phase singularities and their separation is observed in dependence on the ellipticity.", publisher = "Physical Review A", journal = "Phys. Rev. A", title = "Elliptical vortex necklaces in Mathieu lattices", volume = "97", doi = "https://doi.org/10.1103/PhysRevA.97.033848" }
Vasiljevic, J. M., Zannotti, A., Timotijević, D., Denz, C.,& Jović Savić, D. M.. (2018). Elliptical vortex necklaces in Mathieu lattices. in Phys. Rev. A Physical Review A., 97. https://doi.org/https://doi.org/10.1103/PhysRevA.97.033848
Vasiljevic JM, Zannotti A, Timotijević D, Denz C, Jović Savić DM. Elliptical vortex necklaces in Mathieu lattices. in Phys. Rev. A. 2018;97. doi:https://doi.org/10.1103/PhysRevA.97.033848 .
Vasiljevic, Jadranka M, Zannotti, Alessandro, Timotijević, Dejan, Denz, Cornelia, Jović Savić, Dragana M., "Elliptical vortex necklaces in Mathieu lattices" in Phys. Rev. A, 97 (2018), https://doi.org/https://doi.org/10.1103/PhysRevA.97.033848 . .