TY  - JOUR
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7965
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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
T2  - Journal of Russian Laser Research
T1  - Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
VL  - 39
IS  - 5
SP  - 438
EP  - 447
DO  - 10.1007/s10946-018-9738-9
ER  - 

@article{
author = "Davidović, Milena D. 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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.",
journal = "Journal of Russian Laser Research",
title = "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge",
volume = "39",
number = "5",
pages = "438-447",
doi = "10.1007/s10946-018-9738-9"
}

Davidović, M. D., 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, 39(5), 438-447.
https://doi.org/10.1007/s10946-018-9738-9

Davidović MD, 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 D., 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, no. 5 (2018):438-447,
https://doi.org/10.1007/s10946-018-9738-9 . .

TY  - CONF
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10950
AB  - Bohmian mechanics enables visualization and interpretation of quantum mechanical behavior of massive particles through trajectories connected to the probability current density [1]. Electromagnetic field also admits hydrodynamic formulation when the existence of suitably defined photon wave function is assumed [2]. This formulation gives possibility to interpret the optical phenomena in a picturesque way through photon trajectories which describe the evolution of the electromagnetic energy density behind an obstacle. This approach, based on the trajectories, was used in the analysis of modified Young’s double slit diffraction [3], in the context of the Arago-Fresnel laws [4], as well as in the analysis of the modes in the optical and microwave waveguides [5]. A group of scientists from the University of Toronto under the guidance of professor Steinberg, has been able to experimentally determine the mean paths of single photons in the Young’s experiment [6]. The measured trajectories show good agreement with theoretically anticipated trajectories presented in [2, 3]. The achievement of Steinberg’s group was selected by the Physics World as the top breakthrough in physics for the year 2011, as the discovery that is ‘shifting the moral of quantum measurement’ [7]. Theoretical solution for the diffraction of plane wave by the edge of the perfectly conducting plane was given by Sommerfeld in 1896 [8], and this solution became the starting point in solving the diffraction problems for various two dimensional obstacles [9, 10]. Diffraction of Gaussian beam by the edge was studied since the sixties of the last century [11] but more attention was given to the central part of the diffraction image, while the less pronounced side trails were analyzed much later [12]. In this paper we use photon trajectories approach to analyze the diffraction pattern obtained on the screen put behind the laser beam partially covered by a sharp edge, such as a razor blade.
PB  - Belgrade : Institute of Physics Belgrade
C3  - PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts
T1  - Trajectory based interpretation of the laser light diffraction on a sharp edge
SP  - 220
UR  - https://hdl.handle.net/21.15107/rcub_vinar_10950
ER  - 

@conference{
author = "Davidović, Milena D. and Davidović, Miloš D. and Sanz, Angel S. and Božić, Mirjana and Vasiljević, Darko",
year = "2017",
abstract = "Bohmian mechanics enables visualization and interpretation of quantum mechanical behavior of massive particles through trajectories connected to the probability current density [1]. Electromagnetic field also admits hydrodynamic formulation when the existence of suitably defined photon wave function is assumed [2]. This formulation gives possibility to interpret the optical phenomena in a picturesque way through photon trajectories which describe the evolution of the electromagnetic energy density behind an obstacle. This approach, based on the trajectories, was used in the analysis of modified Young’s double slit diffraction [3], in the context of the Arago-Fresnel laws [4], as well as in the analysis of the modes in the optical and microwave waveguides [5]. A group of scientists from the University of Toronto under the guidance of professor Steinberg, has been able to experimentally determine the mean paths of single photons in the Young’s experiment [6]. The measured trajectories show good agreement with theoretically anticipated trajectories presented in [2, 3]. The achievement of Steinberg’s group was selected by the Physics World as the top breakthrough in physics for the year 2011, as the discovery that is ‘shifting the moral of quantum measurement’ [7]. Theoretical solution for the diffraction of plane wave by the edge of the perfectly conducting plane was given by Sommerfeld in 1896 [8], and this solution became the starting point in solving the diffraction problems for various two dimensional obstacles [9, 10]. Diffraction of Gaussian beam by the edge was studied since the sixties of the last century [11] but more attention was given to the central part of the diffraction image, while the less pronounced side trails were analyzed much later [12]. In this paper we use photon trajectories approach to analyze the diffraction pattern obtained on the screen put behind the laser beam partially covered by a sharp edge, such as a razor blade.",
publisher = "Belgrade : Institute of Physics Belgrade",
journal = "PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts",
title = "Trajectory based interpretation of the laser light diffraction on a sharp edge",
pages = "220",
url = "https://hdl.handle.net/21.15107/rcub_vinar_10950"
}

Davidović, M. D., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2017). Trajectory based interpretation of the laser light diffraction on a sharp edge. in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts
Belgrade : Institute of Physics Belgrade., 220.
https://hdl.handle.net/21.15107/rcub_vinar_10950

Davidović MD, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory based interpretation of the laser light diffraction on a sharp edge. in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts. 2017;:220.
https://hdl.handle.net/21.15107/rcub_vinar_10950 .

Davidović, Milena D., Davidović, Miloš D., Sanz, Angel S., Božić, Mirjana, Vasiljević, Darko, "Trajectory based interpretation of the laser light diffraction on a sharp edge" in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts (2017):220,
https://hdl.handle.net/21.15107/rcub_vinar_10950 .