TY  - JOUR
AU  - Davidović, Milena
AU  - Tatjana, Marković-Topalović
AU  - Sliško, Josip
AU  - Bozic, Mirjana
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2213
AB  - In the  same chapter of  his  book Opera geometrica, Torricelli published1 two discoveries:  1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of  jets from three openings at the wall of a container filled with water to constant level H and determined the height of the hole  with maximal range. In studying the pattern Torricelli used the mentioned law of initial velocities and Galileo’s law of free fall and projectile motion. The first Torricelli’s discovery is now well known in physics education under the name Torricelli’s law. But the pattern of jets from a container entered into physics literature along two ways, which we propose to name: “da Vinci’s way” and “Torricelli’s way”.  Along “da Vinci’s way” educators and textbook authors (Ref. 2 and textbooks and articles cited by Biser3 and Atkin4) present incorrect drawings of jets in order to incorrectly “demonstrate”the correct Torricelli’s law. Along “Torricelli’s way” educators point out3-11 that the shape and range of a jet depend on the initial velocity as well as on the time of flight of a jet.  Using algebra and calculus (instead of geometry, proportions and narrative used by Torricelli and Galileo) the shape of trajectories, their envelope, range and meeting of two jets at an arbitrary datum level, are determined by quadratic function and quadratic equation.   Their detailed mathematical analysis is presented in this paper. 
In describing how the use of water and air through time has developed our scientific understanding, and how to bring fluid mechanics to the general public, E. Guyon and M. Guyon12 observed: “Water fountains and jets are still being built and are favorite public attractions but, alas, are seldom connected to their scientific meaning, unlike the Torricelli fountain shown in Fig. 1.”
PB  - American Association of Physics Teachers
T2  - The Physics Teacher
T1  - Visualizing properties of a quadratic function using Torricelli’S fountain
IS  - April
VL  - 58
DO  - 10.1119/1.5145475
ER  - 

@article{
author = "Davidović, Milena and Tatjana, Marković-Topalović and Sliško, Josip and Bozic, Mirjana",
year = "2020",
abstract = "In the  same chapter of  his  book Opera geometrica, Torricelli published1 two discoveries:  1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of  jets from three openings at the wall of a container filled with water to constant level H and determined the height of the hole  with maximal range. In studying the pattern Torricelli used the mentioned law of initial velocities and Galileo’s law of free fall and projectile motion. The first Torricelli’s discovery is now well known in physics education under the name Torricelli’s law. But the pattern of jets from a container entered into physics literature along two ways, which we propose to name: “da Vinci’s way” and “Torricelli’s way”.  Along “da Vinci’s way” educators and textbook authors (Ref. 2 and textbooks and articles cited by Biser3 and Atkin4) present incorrect drawings of jets in order to incorrectly “demonstrate”the correct Torricelli’s law. Along “Torricelli’s way” educators point out3-11 that the shape and range of a jet depend on the initial velocity as well as on the time of flight of a jet.  Using algebra and calculus (instead of geometry, proportions and narrative used by Torricelli and Galileo) the shape of trajectories, their envelope, range and meeting of two jets at an arbitrary datum level, are determined by quadratic function and quadratic equation.   Their detailed mathematical analysis is presented in this paper. 
In describing how the use of water and air through time has developed our scientific understanding, and how to bring fluid mechanics to the general public, E. Guyon and M. Guyon12 observed: “Water fountains and jets are still being built and are favorite public attractions but, alas, are seldom connected to their scientific meaning, unlike the Torricelli fountain shown in Fig. 1.”",
publisher = "American Association of Physics Teachers",
journal = "The Physics Teacher",
title = "Visualizing properties of a quadratic function using Torricelli’S fountain",
number = "April",
volume = "58",
doi = "10.1119/1.5145475"
}

Davidović, M., Tatjana, M., Sliško, J.,& Bozic, M.. (2020). Visualizing properties of a quadratic function using Torricelli’S fountain. in The Physics Teacher
American Association of Physics Teachers., 58(April).
https://doi.org/10.1119/1.5145475

Davidović M, Tatjana M, Sliško J, Bozic M. Visualizing properties of a quadratic function using Torricelli’S fountain. in The Physics Teacher. 2020;58(April).
doi:10.1119/1.5145475 .

Davidović, Milena, Tatjana, Marković-Topalović, Sliško, Josip, Bozic, Mirjana, "Visualizing properties of a quadratic function using Torricelli’S fountain" in The Physics Teacher, 58, no. April (2020),
https://doi.org/10.1119/1.5145475 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2019
UR  - https://aapt.scitation.org/doi/10.1119/1.5092479
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1754
AB  - Recently, Panuski and Mungan presented the results of their study of light diffraction from a variable-width single slit by observing and measuring the diffraction pattern on an observation screen placed at a fixed distance. In this way, the authors were able to demonstrate to students the important near-field effects for single-slit diffraction, which most often have been neglected in introductory courses. In this paper, we show that there exists very good agreement between observed data and theoretical calculations by plotting intensity from single slits using a method with Fresnel-Kirchhoff integrals (Fig. 1). In addition to these comparisons, and with the evaluation of the Fresnel numbers, we argue that Panuski and Mungan demonstrated not only the near-field Fresnel, but also the far-field Fraunhofer regimes as well as the transition between the two. Furthermore, with a greater increase in the slit width, the transition to the geometric regime can be demonstrated (Fig. 2).
PB  - American Association of Physics Teachers - AAPT.org
T2  - The Physics Teacher
T1  - Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction
SP  - 176
VL  - 57
DO  - 10.1119/1.5092479
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana",
year = "2019",
abstract = "Recently, Panuski and Mungan presented the results of their study of light diffraction from a variable-width single slit by observing and measuring the diffraction pattern on an observation screen placed at a fixed distance. In this way, the authors were able to demonstrate to students the important near-field effects for single-slit diffraction, which most often have been neglected in introductory courses. In this paper, we show that there exists very good agreement between observed data and theoretical calculations by plotting intensity from single slits using a method with Fresnel-Kirchhoff integrals (Fig. 1). In addition to these comparisons, and with the evaluation of the Fresnel numbers, we argue that Panuski and Mungan demonstrated not only the near-field Fresnel, but also the far-field Fraunhofer regimes as well as the transition between the two. Furthermore, with a greater increase in the slit width, the transition to the geometric regime can be demonstrated (Fig. 2).",
publisher = "American Association of Physics Teachers - AAPT.org",
journal = "The Physics Teacher",
title = "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction",
pages = "176",
volume = "57",
doi = "10.1119/1.5092479"
}

Davidović, M.,& Božić, M.. (2019). Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in The Physics Teacher
American Association of Physics Teachers - AAPT.org., 57, 176.
https://doi.org/10.1119/1.5092479

Davidović M, Božić M. Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in The Physics Teacher. 2019;57:176.
doi:10.1119/1.5092479 .

Davidović, Milena, Božić, Mirjana, "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction" in The Physics Teacher, 57 (2019):176,
https://doi.org/10.1119/1.5092479 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1001
PB  - American Institute of Physics Inc.
T2  - Physics Teacher
T1  - Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction
EP  - 178
IS  - 3
SP  - 176
VL  - 57
DO  - 10.1119/1.5092479
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana",
year = "2019",
publisher = "American Institute of Physics Inc.",
journal = "Physics Teacher",
title = "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction",
pages = "178-176",
number = "3",
volume = "57",
doi = "10.1119/1.5092479"
}

Davidović, M.,& Božić, M.. (2019). Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in Physics Teacher
American Institute of Physics Inc.., 57(3), 176-178.
https://doi.org/10.1119/1.5092479

Davidović M, Božić M. Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in Physics Teacher. 2019;57(3):176-178.
doi:10.1119/1.5092479 .

Davidović, Milena, Božić, Mirjana, "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction" in Physics Teacher, 57, no. 3 (2019):176-178,
https://doi.org/10.1119/1.5092479 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Davidović, Milos D.
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/983
AB  - In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel-Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Trajectory-based interpretation of laser light diffraction by a sharp edge
EP  - 447
IS  - 5
SP  - 438
VL  - 39
DO  - 10.1007/s10946-018-9738-9
ER  - 

@article{
author = "Davidović, Milena and Davidović, Milos D. and Sanz, Angel S. and Božić, Mirjana and Vasiljević, Darko",
year = "2018",
abstract = "In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel-Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Trajectory-based interpretation of laser light diffraction by a sharp edge",
pages = "447-438",
number = "5",
volume = "39",
doi = "10.1007/s10946-018-9738-9"
}

Davidović, M., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2018). Trajectory-based interpretation of laser light diffraction by a sharp edge. in Journal of Russian Laser Research
Springer New York LLC., 39(5), 438-447.
https://doi.org/10.1007/s10946-018-9738-9

Davidović M, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory-based interpretation of laser light diffraction by a sharp edge. in Journal of Russian Laser Research. 2018;39(5):438-447.
doi:10.1007/s10946-018-9738-9 .

Davidović, Milena, Davidović, Milos D., Sanz, Angel S., Božić, Mirjana, Vasiljević, Darko, "Trajectory-based interpretation of laser light diffraction by a sharp edge" in Journal of Russian Laser Research, 39, no. 5 (2018):438-447,
https://doi.org/10.1007/s10946-018-9738-9 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Davidović, Miloš D.
AU  - Sanz, Angel S
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - https://link.springer.com/article/10.1007/s10946-018-9738-9
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1753
AB  - In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.
PB  - Springer
T2  - Journal of Russian Laser Research
T1  - Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
VL  - 39
DO  - 10.1007/s10946-018-9738-9
ER  - 

@article{
author = "Davidović, Milena and Davidović, Miloš D. and Sanz, Angel S and Božić, Mirjana and Vasiljević, Darko",
year = "2018",
abstract = "In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.",
publisher = "Springer",
journal = "Journal of Russian Laser Research",
title = "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge",
volume = "39",
doi = "10.1007/s10946-018-9738-9"
}

Davidović, M., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2018). Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research
Springer., 39.
https://doi.org/10.1007/s10946-018-9738-9

Davidović M, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research. 2018;39.
doi:10.1007/s10946-018-9738-9 .

Davidović, Milena, Davidović, Miloš D., Sanz, Angel S, Božić, Mirjana, Vasiljević, Darko, "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge" in Journal of Russian Laser Research, 39 (2018),
https://doi.org/10.1007/s10946-018-9738-9 . .

TY  - JOUR
AU  - Kovacević, Aleksander
AU  - Ristic-Djurović, Jasna L.
AU  - Lekić, Marina
AU  - Hadžić, Branka
AU  - Abudagel, Giuma Saleh Isa
AU  - Petričević, Slobodan
AU  - Mihailović, Pedja
AU  - Matović, Branko
AU  - Dramlić, Dragan
AU  - Brajović, Ljiljana
AU  - Romčević, Nebojsa
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/762
AB  - High quality bismuth germanium oxide single crystals were irradiated by a femtosecond pulsed laser beam of increasing power. Analyses performed on irradiated and unirradiated samples showed significant changes in transmittance, transmission spectra, sample color, Raman spectra, X-ray diffraction (XRD) pattern, Verdet constant, magneto-optical property, and absorption coefficient. After irradiation, the transmission spectra values increased whereas anisotropy detected in the transmission spectra of unirradiated samples disappeared. The change of color caused by irradiation was noticeable to the naked eye. The XRD measurements confirmed structural changes induced by laser irradiation, i.e., the laser-beam-incident side of the sample became almost amorphous, whereas the side opposite to the incident can be indexed to the Bi12GeO20 compound. Irradiation caused increase of Raman spectra peaks with the exception of crystal peaks of type E, which disappeared. The femtosecond pulsed laser irradiation can be used to improve bismuth germanium oxide single crystal optical properties.
PB  - Elsevier Ltd
T2  - Materials Research Bulletin
T1  - Influence of femtosecond pulsed laser irradiation on bismuth germanium oxide single crystal properties
EP  - 289
SP  - 284
VL  - 83
DO  - 10.1016/j.materresbull.2016.06.023
ER  - 

@article{
author = "Kovacević, Aleksander and Ristic-Djurović, Jasna L. and Lekić, Marina and Hadžić, Branka and Abudagel, Giuma Saleh Isa and Petričević, Slobodan and Mihailović, Pedja and Matović, Branko and Dramlić, Dragan and Brajović, Ljiljana and Romčević, Nebojsa",
year = "2016",
abstract = "High quality bismuth germanium oxide single crystals were irradiated by a femtosecond pulsed laser beam of increasing power. Analyses performed on irradiated and unirradiated samples showed significant changes in transmittance, transmission spectra, sample color, Raman spectra, X-ray diffraction (XRD) pattern, Verdet constant, magneto-optical property, and absorption coefficient. After irradiation, the transmission spectra values increased whereas anisotropy detected in the transmission spectra of unirradiated samples disappeared. The change of color caused by irradiation was noticeable to the naked eye. The XRD measurements confirmed structural changes induced by laser irradiation, i.e., the laser-beam-incident side of the sample became almost amorphous, whereas the side opposite to the incident can be indexed to the Bi12GeO20 compound. Irradiation caused increase of Raman spectra peaks with the exception of crystal peaks of type E, which disappeared. The femtosecond pulsed laser irradiation can be used to improve bismuth germanium oxide single crystal optical properties.",
publisher = "Elsevier Ltd",
journal = "Materials Research Bulletin",
title = "Influence of femtosecond pulsed laser irradiation on bismuth germanium oxide single crystal properties",
pages = "289-284",
volume = "83",
doi = "10.1016/j.materresbull.2016.06.023"
}

Kovacević, A., Ristic-Djurović, J. L., Lekić, M., Hadžić, B., Abudagel, G. S. I., Petričević, S., Mihailović, P., Matović, B., Dramlić, D., Brajović, L.,& Romčević, N.. (2016). Influence of femtosecond pulsed laser irradiation on bismuth germanium oxide single crystal properties. in Materials Research Bulletin
Elsevier Ltd., 83, 284-289.
https://doi.org/10.1016/j.materresbull.2016.06.023

Kovacević A, Ristic-Djurović JL, Lekić M, Hadžić B, Abudagel GSI, Petričević S, Mihailović P, Matović B, Dramlić D, Brajović L, Romčević N. Influence of femtosecond pulsed laser irradiation on bismuth germanium oxide single crystal properties. in Materials Research Bulletin. 2016;83:284-289.
doi:10.1016/j.materresbull.2016.06.023 .

Kovacević, Aleksander, Ristic-Djurović, Jasna L., Lekić, Marina, Hadžić, Branka, Abudagel, Giuma Saleh Isa, Petričević, Slobodan, Mihailović, Pedja, Matović, Branko, Dramlić, Dragan, Brajović, Ljiljana, Romčević, Nebojsa, "Influence of femtosecond pulsed laser irradiation on bismuth germanium oxide single crystal properties" in Materials Research Bulletin, 83 (2016):284-289,
https://doi.org/10.1016/j.materresbull.2016.06.023 . .

TY  - JOUR
AU  - Sanz, Angel S.
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/703
AB  - Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.
PB  - Academic Press Inc.
T2  - Annals of Physics
T1  - Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry
EP  - 221
SP  - 205
VL  - 353
DO  - 10.1016/j.aop.2014.11.012
ER  - 

@article{
author = "Sanz, Angel S. and Davidović, Milena and Božić, Mirjana",
year = "2015",
abstract = "Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.",
publisher = "Academic Press Inc.",
journal = "Annals of Physics",
title = "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry",
pages = "221-205",
volume = "353",
doi = "10.1016/j.aop.2014.11.012"
}

Sanz, A. S., Davidović, M.,& Božić, M.. (2015). Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics
Academic Press Inc.., 353, 205-221.
https://doi.org/10.1016/j.aop.2014.11.012

Sanz AS, Davidović M, Božić M. Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics. 2015;353:205-221.
doi:10.1016/j.aop.2014.11.012 .

Sanz, Angel S., Davidović, Milena, Božić, Mirjana, "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry" in Annals of Physics, 353 (2015):205-221,
https://doi.org/10.1016/j.aop.2014.11.012 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/718
AB  - Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Description of classical and quantum interference in view of the concept of flow line
EP  - 342
IS  - 4
SP  - 329
VL  - 36
DO  - 10.1007/s10946-015-9507-y
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana",
year = "2015",
abstract = "Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Description of classical and quantum interference in view of the concept of flow line",
pages = "342-329",
number = "4",
volume = "36",
doi = "10.1007/s10946-015-9507-y"
}

Davidović, M., Sanz, A. S.,& Božić, M.. (2015). Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research
Springer New York LLC., 36(4), 329-342.
https://doi.org/10.1007/s10946-015-9507-y

Davidović M, Sanz AS, Božić M. Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research. 2015;36(4):329-342.
doi:10.1007/s10946-015-9507-y .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, "Description of classical and quantum interference in view of the concept of flow line" in Journal of Russian Laser Research, 36, no. 4 (2015):329-342,
https://doi.org/10.1007/s10946-015-9507-y . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
AU  - Slisko, Josip
AU  - Gajić, Radoš
AU  - Dragović, Magdalena
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/640
AB  - We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container.
PB  - Institute of Physics Publishing
T2  - European Journal of Physics
T1  - Image positions of a vertical rod in a liquid-filled cylindrical container
IS  - 2
VL  - 35
DO  - 10.1088/0143-0807/35/2/025011
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana and Slisko, Josip and Gajić, Radoš and Dragović, Magdalena",
year = "2014",
abstract = "We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container.",
publisher = "Institute of Physics Publishing",
journal = "European Journal of Physics",
title = "Image positions of a vertical rod in a liquid-filled cylindrical container",
number = "2",
volume = "35",
doi = "10.1088/0143-0807/35/2/025011"
}

Davidović, M., Božić, M., Slisko, J., Gajić, R.,& Dragović, M.. (2014). Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics
Institute of Physics Publishing., 35(2).
https://doi.org/10.1088/0143-0807/35/2/025011

Davidović M, Božić M, Slisko J, Gajić R, Dragović M. Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics. 2014;35(2).
doi:10.1088/0143-0807/35/2/025011 .

Davidović, Milena, Božić, Mirjana, Slisko, Josip, Gajić, Radoš, Dragović, Magdalena, "Image positions of a vertical rod in a liquid-filled cylindrical container" in European Journal of Physics, 35, no. 2 (2014),
https://doi.org/10.1088/0143-0807/35/2/025011 . .

TY  - JOUR
AU  - Knezević, Dragan
AU  - Dragović, Magdalena
AU  - Ibrahimović, Vedran
AU  - Srećković, Milesa
AU  - Kovacević, Aleksander
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/633
AB  - Remote tracking and recognition of various objects in defined space are complex multidisciplinary problems. Depending on selected scene being investigated (object size and dynamics, time needed for data processing and estimation), and on chosen optoelectronic system design, several solutions are available. For the fieldwork, the passive remote detection seems to be the most convenient. Economically reasonable approach with selected non-sophisticated modest equipment is proposed, evaluated and discussed. A numerical experiment is performed with own-developed algorithm in which unreal cases are automatically eliminated during the output vector data evaluation. Gaussian distribution method is implemented here. The average calculated times, resulted from simulation, were shorter than simulated values increased by 3 sigma.
PB  - National Institute of Science Communication and Information Resources (NISCAIR)
T2  - Indian Journal of Pure & Applied Physics
T1  - Numerical complexity of real-time tracking of objects in defined space by infrared optoelectronic devices
EP  - 464
IS  - 7
SP  - 457
VL  - 52
UR  - https://hdl.handle.net/21.15107/rcub_grafar_633
ER  - 

@article{
author = "Knezević, Dragan and Dragović, Magdalena and Ibrahimović, Vedran and Srećković, Milesa and Kovacević, Aleksander",
year = "2014",
abstract = "Remote tracking and recognition of various objects in defined space are complex multidisciplinary problems. Depending on selected scene being investigated (object size and dynamics, time needed for data processing and estimation), and on chosen optoelectronic system design, several solutions are available. For the fieldwork, the passive remote detection seems to be the most convenient. Economically reasonable approach with selected non-sophisticated modest equipment is proposed, evaluated and discussed. A numerical experiment is performed with own-developed algorithm in which unreal cases are automatically eliminated during the output vector data evaluation. Gaussian distribution method is implemented here. The average calculated times, resulted from simulation, were shorter than simulated values increased by 3 sigma.",
publisher = "National Institute of Science Communication and Information Resources (NISCAIR)",
journal = "Indian Journal of Pure & Applied Physics",
title = "Numerical complexity of real-time tracking of objects in defined space by infrared optoelectronic devices",
pages = "464-457",
number = "7",
volume = "52",
url = "https://hdl.handle.net/21.15107/rcub_grafar_633"
}

Knezević, D., Dragović, M., Ibrahimović, V., Srećković, M.,& Kovacević, A.. (2014). Numerical complexity of real-time tracking of objects in defined space by infrared optoelectronic devices. in Indian Journal of Pure & Applied Physics
National Institute of Science Communication and Information Resources (NISCAIR)., 52(7), 457-464.
https://hdl.handle.net/21.15107/rcub_grafar_633

Knezević D, Dragović M, Ibrahimović V, Srećković M, Kovacević A. Numerical complexity of real-time tracking of objects in defined space by infrared optoelectronic devices. in Indian Journal of Pure & Applied Physics. 2014;52(7):457-464.
https://hdl.handle.net/21.15107/rcub_grafar_633 .

Knezević, Dragan, Dragović, Magdalena, Ibrahimović, Vedran, Srećković, Milesa, Kovacević, Aleksander, "Numerical complexity of real-time tracking of objects in defined space by infrared optoelectronic devices" in Indian Journal of Pure & Applied Physics, 52, no. 7 (2014):457-464,
https://hdl.handle.net/21.15107/rcub_grafar_633 .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
AU  - Dimić, Dragan
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/546
AB  - We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.
T2  - Physica Scripta
T1  - Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles
DO  - 10.1088/0031-8949/2013/T153/014015
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan and Dimić, Dragan",
year = "2013",
abstract = "We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.",
journal = "Physica Scripta",
title = "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles",
doi = "10.1088/0031-8949/2013/T153/014015"
}

Davidović, M., Sanz, A. S., Božić, M., Arsenović, D.,& Dimić, D.. (2013). Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014015

Davidović M, Sanz AS, Božić M, Arsenović D, Dimić D. Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014015 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, Dimić, Dragan, "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014015 . .

TY  - JOUR
AU  - Popov, Dejan
AU  - Pop, Nicolina
AU  - Davidović, Milena
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/521
AB  - In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.
T2  - Physica Scripta
T1  - Negative binomial states for the pseudoharmonic oscillator
DO  - 10.1088/0031-8949/2013/T153/014051
ER  - 

@article{
author = "Popov, Dejan and Pop, Nicolina and Davidović, Milena",
year = "2013",
abstract = "In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.",
journal = "Physica Scripta",
title = "Negative binomial states for the pseudoharmonic oscillator",
doi = "10.1088/0031-8949/2013/T153/014051"
}

Popov, D., Pop, N.,& Davidović, M.. (2013). Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014051

Popov D, Pop N, Davidović M. Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014051 .

Popov, Dejan, Pop, Nicolina, Davidović, Milena, "Negative binomial states for the pseudoharmonic oscillator" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014051 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
PY  - 2012
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/469
AB  - The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.
T2  - Journal of Physics A-Mathematical and Theoretical
T1  - Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis
IS  - 16
VL  - 45
DO  - 10.1088/1751-8113/45/16/165303
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan",
year = "2012",
abstract = "The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.",
journal = "Journal of Physics A-Mathematical and Theoretical",
title = "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis",
number = "16",
volume = "45",
doi = "10.1088/1751-8113/45/16/165303"
}

Davidović, M., Sanz, A. S., Božić, M.,& Arsenović, D.. (2012). Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical, 45(16).
https://doi.org/10.1088/1751-8113/45/16/165303

Davidović M, Sanz AS, Božić M, Arsenović D. Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical. 2012;45(16).
doi:10.1088/1751-8113/45/16/165303 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis" in Journal of Physics A-Mathematical and Theoretical, 45, no. 16 (2012),
https://doi.org/10.1088/1751-8113/45/16/165303 . .

TY  - JOUR
AU  - Božić, Mirjana
AU  - Vusković, Leposlava
AU  - Davidović, Milena
AU  - Sanz, Angel S.
PY  - 2011
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/402
AB  - We present an analysis and interpretation of the experiment performed by Jacques et al (2007 Science 315 966), which represents a realization of Wheeler's delayed-choice Gedankenexperiment. Our analysis is based on the evolution of the photon state, since the photon enters into the Mach-Zehnder interferometer (MZI) with a removable beam splitter until it exits. Given the same photon state incident on the output beam splitter BS(output), the photon's state at the exit will be very different depending on whether BSoutput is on or off. Hence, the statistics of photon counts collected by the two detectors, positioned along orthogonal directions at the exit of the interferometer, will also be very different for each case. Therefore, it is not that the choice of inserting (on) or removing (off) a beam splitter leads to a delayed influence on the photon behavior before arriving there, but that such a choice influences the photon state at and after BSoutput, i.e. after it has exited the MZI. The random on/off choice at BSoutput has no delayed effect on the photon to behave as a wave or a corpuscle at the entrance and inside the interferometer, but influences the subsequent evolution of the photon state incident on BS(output).
T2  - Physica Scripta
T1  - On Wheeler's delayed-choice Gedankenexperiment and its laboratory realization
DO  - 10.1088/0031-8949/2011/T143/014007
ER  - 

@article{
author = "Božić, Mirjana and Vusković, Leposlava and Davidović, Milena and Sanz, Angel S.",
year = "2011",
abstract = "We present an analysis and interpretation of the experiment performed by Jacques et al (2007 Science 315 966), which represents a realization of Wheeler's delayed-choice Gedankenexperiment. Our analysis is based on the evolution of the photon state, since the photon enters into the Mach-Zehnder interferometer (MZI) with a removable beam splitter until it exits. Given the same photon state incident on the output beam splitter BS(output), the photon's state at the exit will be very different depending on whether BSoutput is on or off. Hence, the statistics of photon counts collected by the two detectors, positioned along orthogonal directions at the exit of the interferometer, will also be very different for each case. Therefore, it is not that the choice of inserting (on) or removing (off) a beam splitter leads to a delayed influence on the photon behavior before arriving there, but that such a choice influences the photon state at and after BSoutput, i.e. after it has exited the MZI. The random on/off choice at BSoutput has no delayed effect on the photon to behave as a wave or a corpuscle at the entrance and inside the interferometer, but influences the subsequent evolution of the photon state incident on BS(output).",
journal = "Physica Scripta",
title = "On Wheeler's delayed-choice Gedankenexperiment and its laboratory realization",
doi = "10.1088/0031-8949/2011/T143/014007"
}

Božić, M., Vusković, L., Davidović, M.,& Sanz, A. S.. (2011). On Wheeler's delayed-choice Gedankenexperiment and its laboratory realization. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2011/T143/014007

Božić M, Vusković L, Davidović M, Sanz AS. On Wheeler's delayed-choice Gedankenexperiment and its laboratory realization. in Physica Scripta. 2011;.
doi:10.1088/0031-8949/2011/T143/014007 .

Božić, Mirjana, Vusković, Leposlava, Davidović, Milena, Sanz, Angel S., "On Wheeler's delayed-choice Gedankenexperiment and its laboratory realization" in Physica Scripta (2011),
https://doi.org/10.1088/0031-8949/2011/T143/014007 . .