TY  - JOUR
AU  - Vasiljević, Jadranka
AU  - Jovanović, Vladimir P.
AU  - Tomović, Aleksandar
AU  - Timotijević, Dejan
AU  - Žikić, Radomir
AU  - Belic, Milivoj
AU  - Jović-Savić, Dragana M.
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2147
AB  - We demonstrate transitional dimensionality of discrete diffraction in radial-elliptical photonic lattices. Varying the order, characteristic structure size, and ellipticity of the Mathieu beams used for the photonic lattices generation, we control the shape of discrete diffraction distribution over the combination of the radial direction with the circular, elliptic, or hyperbolic. We also investigate the transition from one-dimensional to two-dimensional discrete diffraction by varying the input probe beam position. The most pronounced discrete diffraction is observed along the crystal anisotropy direction.
PB  - Optica Publishing Group
T2  - Optics Express
T1  - Interdimensional radial discrete diffraction in Mathieu photonic lattices
EP  - 28953
IS  - 18
SP  - 28946
VL  - 31
DO  - 10.1364/OE.497795
ER  - 

@article{
author = "Vasiljević, Jadranka and Jovanović, Vladimir P. and Tomović, Aleksandar and Timotijević, Dejan and Žikić, Radomir and Belic, Milivoj and Jović-Savić, Dragana M.",
year = "2023",
abstract = "We demonstrate transitional dimensionality of discrete diffraction in radial-elliptical photonic lattices. Varying the order, characteristic structure size, and ellipticity of the Mathieu beams used for the photonic lattices generation, we control the shape of discrete diffraction distribution over the combination of the radial direction with the circular, elliptic, or hyperbolic. We also investigate the transition from one-dimensional to two-dimensional discrete diffraction by varying the input probe beam position. The most pronounced discrete diffraction is observed along the crystal anisotropy direction.",
publisher = "Optica Publishing Group",
journal = "Optics Express",
title = "Interdimensional radial discrete diffraction in Mathieu photonic lattices",
pages = "28953-28946",
number = "18",
volume = "31",
doi = "10.1364/OE.497795"
}

Vasiljević, J., Jovanović, V. P., Tomović, A., Timotijević, D., Žikić, R., Belic, M.,& Jović-Savić, D. M.. (2023). Interdimensional radial discrete diffraction in Mathieu photonic lattices. in Optics Express
Optica Publishing Group., 31(18), 28946-28953.
https://doi.org/10.1364/OE.497795

Vasiljević J, Jovanović VP, Tomović A, Timotijević D, Žikić R, Belic M, Jović-Savić DM. Interdimensional radial discrete diffraction in Mathieu photonic lattices. in Optics Express. 2023;31(18):28946-28953.
doi:10.1364/OE.497795 .

Vasiljević, Jadranka, Jovanović, Vladimir P., Tomović, Aleksandar, Timotijević, Dejan, Žikić, Radomir, Belic, Milivoj, Jović-Savić, Dragana M., "Interdimensional radial discrete diffraction in Mathieu photonic lattices" in Optics Express, 31, no. 18 (2023):28946-28953,
https://doi.org/10.1364/OE.497795 . .

TY  - CONF
AU  - Vasiljević, Jadranka M.
AU  - Timotijević, Dejan
AU  - Jović Savić, Dragana M.
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/3007
AB  - We present the numerical modeling of two different randomization methods of photonic lattices. We compare the results of light propagation in disordered aperiodic and disordered periodic lattices. In disordered aperiodic lattice disorder always enhances light transport for both methods, contrary to the disordered periodic lattice. For the highest disorder levels, we detect Anderson localization for both methods and both disordered lattices. More pronounced localization is observed for disordered aperiodic lattice.
PB  - EDP Sciences
C3  - EPJ Web of Conferences
T1  - Light propagation in disordered aperiodic Mathieu photonic lattices
DO  - https://doi.org/10.1051/epjconf/202226608015
ER  - 

@conference{
author = "Vasiljević, Jadranka M. and Timotijević, Dejan and Jović Savić, Dragana M.",
year = "2022",
abstract = "We present the numerical modeling of two different randomization methods of photonic lattices. We compare the results of light propagation in disordered aperiodic and disordered periodic lattices. In disordered aperiodic lattice disorder always enhances light transport for both methods, contrary to the disordered periodic lattice. For the highest disorder levels, we detect Anderson localization for both methods and both disordered lattices. More pronounced localization is observed for disordered aperiodic lattice.",
publisher = "EDP Sciences",
journal = "EPJ Web of Conferences",
title = "Light propagation in disordered aperiodic Mathieu photonic lattices",
doi = "https://doi.org/10.1051/epjconf/202226608015"
}

Vasiljević, J. M., Timotijević, D.,& Jović Savić, D. M.. (2022). Light propagation in disordered aperiodic Mathieu photonic lattices. in EPJ Web of Conferences
EDP Sciences..
https://doi.org/https://doi.org/10.1051/epjconf/202226608015

Vasiljević JM, Timotijević D, Jović Savić DM. Light propagation in disordered aperiodic Mathieu photonic lattices. in EPJ Web of Conferences. 2022;.
doi:https://doi.org/10.1051/epjconf/202226608015 .

Vasiljević, Jadranka M., Timotijević, Dejan, Jović Savić, Dragana M., "Light propagation in disordered aperiodic Mathieu photonic lattices" in EPJ Web of Conferences (2022),
https://doi.org/https://doi.org/10.1051/epjconf/202226608015 . .

TY  - JOUR
AU  - Timotijević, Dejan
AU  - Vasiljević, Jadranka M.
AU  - Jović-Savić, Dragana M.
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1525
AB  - We introduce numerical modeling of two different methods for the deterministic randomization of two-dimensional aperiodic photonic lattices based on Mathieu beams, optically induced in a photorefractive media. For both methods we compare light transport and localization in such lattices along the propagation, for various disorder strengths. A disorder-enhanced light transport is observed for all disorder strengths. With increasing disorder strength light transport becomes diffusive-like and with further increase of disorder strength the Anderson localization is observed. This trend is more noticeable for longer propagation distances. The influence of input lattice intensity on the localization effects is studied. The difference in light transport between two randomization methods is attributed to various levels of input lattice intensity. We observe more pronounced localization for one of the methods. Localization lengths differ along different directions, due to the crystal and lattice anisotropy. We analyze localization effects comparing uniform and on-site probe beam excitation positions and different probe beam widths.
PB  - Optical Soc Amer, Washington
T2  - Optics Express
T1  - Numerical methods for generation and characterization of disordered aperiodic photonic lattices
EP  - 7224
IS  - 5
SP  - 7210
VL  - 30
DO  - 10.1364/OE.447572
ER  - 

@article{
author = "Timotijević, Dejan and Vasiljević, Jadranka M. and Jović-Savić, Dragana M.",
year = "2022",
abstract = "We introduce numerical modeling of two different methods for the deterministic randomization of two-dimensional aperiodic photonic lattices based on Mathieu beams, optically induced in a photorefractive media. For both methods we compare light transport and localization in such lattices along the propagation, for various disorder strengths. A disorder-enhanced light transport is observed for all disorder strengths. With increasing disorder strength light transport becomes diffusive-like and with further increase of disorder strength the Anderson localization is observed. This trend is more noticeable for longer propagation distances. The influence of input lattice intensity on the localization effects is studied. The difference in light transport between two randomization methods is attributed to various levels of input lattice intensity. We observe more pronounced localization for one of the methods. Localization lengths differ along different directions, due to the crystal and lattice anisotropy. We analyze localization effects comparing uniform and on-site probe beam excitation positions and different probe beam widths.",
publisher = "Optical Soc Amer, Washington",
journal = "Optics Express",
title = "Numerical methods for generation and characterization of disordered aperiodic photonic lattices",
pages = "7224-7210",
number = "5",
volume = "30",
doi = "10.1364/OE.447572"
}

Timotijević, D., Vasiljević, J. M.,& Jović-Savić, D. M.. (2022). Numerical methods for generation and characterization of disordered aperiodic photonic lattices. in Optics Express
Optical Soc Amer, Washington., 30(5), 7210-7224.
https://doi.org/10.1364/OE.447572

Timotijević D, Vasiljević JM, Jović-Savić DM. Numerical methods for generation and characterization of disordered aperiodic photonic lattices. in Optics Express. 2022;30(5):7210-7224.
doi:10.1364/OE.447572 .

Timotijević, Dejan, Vasiljević, Jadranka M., Jović-Savić, Dragana M., "Numerical methods for generation and characterization of disordered aperiodic photonic lattices" in Optics Express, 30, no. 5 (2022):7210-7224,
https://doi.org/10.1364/OE.447572 . .

TY  - JOUR
AU  - Vasiljević, Jadranka M.
AU  - Zannotti, Alessandro
AU  - Timotijević, Dejan
AU  - Denz, Cornelia
AU  - Jović Savić, Dragana M
PY  - 2020
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/3036
AB  - We investigate light propagation in a two-dimensional aperiodic refractive index lattice realized using the interference of multiple Mathieu–Gauss beams. We demonstrate experimentally and numerically that such a lattice effectively hinders linear light expansion and leads to light localization, compared to periodic photonic lattices in a photorefractive crystal. Most promisingly, we show that such an aperiodic lattice supports the nonlinear confinement of light in the form of soliton-like propagation that is robust with respect to changes in a wide range of intensities.
PB  - Appl. Phys. Lett.
T2  - Applied Physics Letters
T1  - Light propagation in aperiodic photonic lattices created by synthesized Mathieu–Gauss beams
VL  - 117
DO  - https://doi.org/10.1063/5.0013174
ER  - 

@article{
author = "Vasiljević, Jadranka M. and Zannotti, Alessandro and Timotijević, Dejan and Denz, Cornelia and Jović Savić, Dragana M",
year = "2020",
abstract = "We investigate light propagation in a two-dimensional aperiodic refractive index lattice realized using the interference of multiple Mathieu–Gauss beams. We demonstrate experimentally and numerically that such a lattice effectively hinders linear light expansion and leads to light localization, compared to periodic photonic lattices in a photorefractive crystal. Most promisingly, we show that such an aperiodic lattice supports the nonlinear confinement of light in the form of soliton-like propagation that is robust with respect to changes in a wide range of intensities.",
publisher = "Appl. Phys. Lett.",
journal = "Applied Physics Letters",
title = "Light propagation in aperiodic photonic lattices created by synthesized Mathieu–Gauss beams",
volume = "117",
doi = "https://doi.org/10.1063/5.0013174"
}

Vasiljević, J. M., Zannotti, A., Timotijević, D., Denz, C.,& Jović Savić, D. M.. (2020). Light propagation in aperiodic photonic lattices created by synthesized Mathieu–Gauss beams. in Applied Physics Letters
Appl. Phys. Lett.., 117.
https://doi.org/https://doi.org/10.1063/5.0013174

Vasiljević JM, Zannotti A, Timotijević D, Denz C, Jović Savić DM. Light propagation in aperiodic photonic lattices created by synthesized Mathieu–Gauss beams. in Applied Physics Letters. 2020;117.
doi:https://doi.org/10.1063/5.0013174 .

Vasiljević, Jadranka M., Zannotti, Alessandro, Timotijević, Dejan, Denz, Cornelia, Jović Savić, Dragana M, "Light propagation in aperiodic photonic lattices created by synthesized Mathieu–Gauss beams" in Applied Physics Letters, 117 (2020),
https://doi.org/https://doi.org/10.1063/5.0013174 . .

TY  - JOUR
AU  - Zannotti, Alessandro
AU  - Vasiljević, Jadranka M.
AU  - Timotijević, Dejan
AU  - Jović Savić, Dragana M.
AU  - Denz, Cornelia
PY  - 2019
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/3046
AB  - Discrete optical gratings are essential components to customize structured light waves, determined by the band structure of the periodic potential. Beyond fabricating static devices, light-driven diffraction management requires nonlinear materials. Up to now, nonlinear self-action has been limited mainly to discrete spatial solitons. Discrete solitons, however, are restricted to the eigenstates of the photonic lattice. Here, we control light formation by nonlinear discrete diffraction, allowing for versatile output diffraction states. We observe morphing of diffraction structures for discrete Mathieu beams propagating nonlinearly in photosensitive media. The self-action of a zero-order Mathieu beam in a nonlinear medium shows characteristics similar to discrete diffraction in one-dimensional waveguide arrays. Mathieu beams of higher orders show discrete diffraction along curved paths, showing the fingerprint of respective two-dimensional photonic lattices.
PB  - Optics Letters
T2  - Optics Letters
T1  - Morphing discrete diffraction in nonlinear Mathieu lattices
VL  - 44
DO  - https://doi.org/10.1364/OL.44.001592
ER  - 

@article{
author = "Zannotti, Alessandro and Vasiljević, Jadranka M. and Timotijević, Dejan and Jović Savić, Dragana M. and Denz, Cornelia",
year = "2019",
abstract = "Discrete optical gratings are essential components to customize structured light waves, determined by the band structure of the periodic potential. Beyond fabricating static devices, light-driven diffraction management requires nonlinear materials. Up to now, nonlinear self-action has been limited mainly to discrete spatial solitons. Discrete solitons, however, are restricted to the eigenstates of the photonic lattice. Here, we control light formation by nonlinear discrete diffraction, allowing for versatile output diffraction states. We observe morphing of diffraction structures for discrete Mathieu beams propagating nonlinearly in photosensitive media. The self-action of a zero-order Mathieu beam in a nonlinear medium shows characteristics similar to discrete diffraction in one-dimensional waveguide arrays. Mathieu beams of higher orders show discrete diffraction along curved paths, showing the fingerprint of respective two-dimensional photonic lattices.",
publisher = "Optics Letters",
journal = "Optics Letters",
title = "Morphing discrete diffraction in nonlinear Mathieu lattices",
volume = "44",
doi = "https://doi.org/10.1364/OL.44.001592"
}

Zannotti, A., Vasiljević, J. M., Timotijević, D., Jović Savić, D. M.,& Denz, C.. (2019). Morphing discrete diffraction in nonlinear Mathieu lattices. in Optics Letters
Optics Letters., 44.
https://doi.org/https://doi.org/10.1364/OL.44.001592

Zannotti A, Vasiljević JM, Timotijević D, Jović Savić DM, Denz C. Morphing discrete diffraction in nonlinear Mathieu lattices. in Optics Letters. 2019;44.
doi:https://doi.org/10.1364/OL.44.001592 .

Zannotti, Alessandro, Vasiljević, Jadranka M., Timotijević, Dejan, Jović Savić, Dragana M., Denz, Cornelia, "Morphing discrete diffraction in nonlinear Mathieu lattices" in Optics Letters, 44 (2019),
https://doi.org/https://doi.org/10.1364/OL.44.001592 . .

TY  - 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 . .

TY  - JOUR
AU  - Vasiljević, Jadranka M.
AU  - Zannotti, Alessandro
AU  - Timotijević, Dejan
AU  - Denz, Cornelia
AU  - Jović Savić, Dragana M.
PY  - 2017
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/3017
AB  - We demonstrate a kind of aperiodic photonic structure realized using the interference of multiple Mathieu-Gauss beams. Depending on the beam configurations, their mutual distances, angles of rotation, or phase relations we are able to observe different classes of such aperiodic optically induced refractive index structures. Our experimental approach is based on the optical induction in a single parallel writing process.
PB  - Physical Review A
T2  - PHYSICAL REVIEW A
T1  - Creating aperiodic photonic structures by synthesized Mathieu-Gauss beams
VL  - 96
DO  - https://doi.org/10.1103/PhysRevA.96.023840
ER  - 

@article{
author = "Vasiljević, Jadranka M. and Zannotti, Alessandro and Timotijević, Dejan and Denz, Cornelia and Jović Savić, Dragana M.",
year = "2017",
abstract = "We demonstrate a kind of aperiodic photonic structure realized using the interference of multiple Mathieu-Gauss beams. Depending on the beam configurations, their mutual distances, angles of rotation, or phase relations we are able to observe different classes of such aperiodic optically induced refractive index structures. Our experimental approach is based on the optical induction in a single parallel writing process.",
publisher = "Physical Review A",
journal = "PHYSICAL REVIEW A",
title = "Creating aperiodic photonic structures by synthesized Mathieu-Gauss beams",
volume = "96",
doi = "https://doi.org/10.1103/PhysRevA.96.023840"
}

Vasiljević, J. M., Zannotti, A., Timotijević, D., Denz, C.,& Jović Savić, D. M.. (2017). Creating aperiodic photonic structures by synthesized Mathieu-Gauss beams. in PHYSICAL REVIEW A
Physical Review A., 96.
https://doi.org/https://doi.org/10.1103/PhysRevA.96.023840

Vasiljević JM, Zannotti A, Timotijević D, Denz C, Jović Savić DM. Creating aperiodic photonic structures by synthesized Mathieu-Gauss beams. in PHYSICAL REVIEW A. 2017;96.
doi:https://doi.org/10.1103/PhysRevA.96.023840 .

Vasiljević, Jadranka M., Zannotti, Alessandro, Timotijević, Dejan, Denz, Cornelia, Jović Savić, Dragana M., "Creating aperiodic photonic structures by synthesized Mathieu-Gauss beams" in PHYSICAL REVIEW A, 96 (2017),
https://doi.org/https://doi.org/10.1103/PhysRevA.96.023840 . .