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  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/877
AB  - We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.
PB  - Maik Nauka Publishing / Springer SBM
T2  - Theoretical and Mathematical Physics
T1  - Scale transformations in phase space and stretched states of a harmonic oscillator
EP  - 1096
IS  - 1
SP  - 1080
VL  - 192
DO  - 10.1134/S0040577917070091
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena",
year = "2017",
abstract = "We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.",
publisher = "Maik Nauka Publishing / Springer SBM",
journal = "Theoretical and Mathematical Physics",
title = "Scale transformations in phase space and stretched states of a harmonic oscillator",
pages = "1096-1080",
number = "1",
volume = "192",
doi = "10.1134/S0040577917070091"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D.,& Davidović, M.. (2017). Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics
Maik Nauka Publishing / Springer SBM., 192(1), 1080-1096.
https://doi.org/10.1134/S0040577917070091

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M. Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics. 2017;192(1):1080-1096.
doi:10.1134/S0040577917070091 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, "Scale transformations in phase space and stretched states of a harmonic oscillator" in Theoretical and Mathematical Physics, 192, no. 1 (2017):1080-1096,
https://doi.org/10.1134/S0040577917070091 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
AU  - Zotov, Sergey D.
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/807
AB  - We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Scaling Transform and Stretched States in Quantum Mechanics
EP  - 439
IS  - 5
SP  - 434
VL  - 37
DO  - 10.1007/s10946-016-9594-4
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena and Zotov, Sergey D.",
year = "2016",
abstract = "We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Scaling Transform and Stretched States in Quantum Mechanics",
pages = "439-434",
number = "5",
volume = "37",
doi = "10.1007/s10946-016-9594-4"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D., Davidović, M.,& Zotov, S. D.. (2016). Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research
Springer New York LLC., 37(5), 434-439.
https://doi.org/10.1007/s10946-016-9594-4

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M, Zotov SD. Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research. 2016;37(5):434-439.
doi:10.1007/s10946-016-9594-4 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, Zotov, Sergey D., "Scaling Transform and Stretched States in Quantum Mechanics" in Journal of Russian Laser Research, 37, no. 5 (2016):434-439,
https://doi.org/10.1007/s10946-016-9594-4 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Dragomir M.
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/666
AB  - We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.
PB  - Institute of Physics Publishing
T2  - Physica Scripta
T1  - Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations
IS  - 7
VL  - 90
DO  - 10.1088/0031-8949/90/7/074023
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Milena and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Dragomir M.",
year = "2015",
abstract = "We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.",
publisher = "Institute of Physics Publishing",
journal = "Physica Scripta",
title = "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations",
number = "7",
volume = "90",
doi = "10.1088/0031-8949/90/7/074023"
}

Andreev, V. A., Davidović, M., Davidović, L. D., Davidović, M. D.,& Davidović, D. M.. (2015). Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta
Institute of Physics Publishing., 90(7).
https://doi.org/10.1088/0031-8949/90/7/074023

Andreev VA, Davidović M, Davidović LD, Davidović MD, Davidović DM. Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta. 2015;90(7).
doi:10.1088/0031-8949/90/7/074023 .

Andreev, Vladimir A., Davidović, Milena, Davidović, Ljubica D., Davidović, Milos D., Davidović, Dragomir M., "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations" in Physica Scripta, 90, no. 7 (2015),
https://doi.org/10.1088/0031-8949/90/7/074023 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena
AU  - Davidović, Milos D.
AU  - Man'ko, V. I.
AU  - Manko, M. A.
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/645
AB  - We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.
PB  - Maik Nauka Publishing / Springer SBM
T2  - Theoretical and Mathematical Physics
T1  - Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols
EP  - 573
IS  - 2
SP  - 559
VL  - 179
DO  - 10.1007/s11232-014-0162-1
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Ljubica D. and Davidović, Milena and Davidović, Milos D. and Man'ko, V. I. and Manko, M. A.",
year = "2014",
abstract = "We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.",
publisher = "Maik Nauka Publishing / Springer SBM",
journal = "Theoretical and Mathematical Physics",
title = "Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols",
pages = "573-559",
number = "2",
volume = "179",
doi = "10.1007/s11232-014-0162-1"
}

Andreev, V. A., Davidović, L. D., Davidović, M., Davidović, M. D., Man'ko, V. I.,& Manko, M. A.. (2014). Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols. in Theoretical and Mathematical Physics
Maik Nauka Publishing / Springer SBM., 179(2), 559-573.
https://doi.org/10.1007/s11232-014-0162-1

Andreev VA, Davidović LD, Davidović M, Davidović MD, Man'ko VI, Manko MA. Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols. in Theoretical and Mathematical Physics. 2014;179(2):559-573.
doi:10.1007/s11232-014-0162-1 .

Andreev, Vladimir A., Davidović, Ljubica D., Davidović, Milena, Davidović, Milos D., Man'ko, V. I., Manko, M. A., "Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols" in Theoretical and Mathematical Physics, 179, no. 2 (2014):559-573,
https://doi.org/10.1007/s11232-014-0162-1 . .

TY  - JOUR
AU  - Davidović, Miloš D.
AU  - Davidović, Milena
AU  - Srećković, Milesa
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/500
AB  - Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals.
AB  - U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.
PB  - Savez inženjera i tehničara Srbije, Beograd
T2  - Tehnika
T1  - Use of Husimi function in time frequency signal analysis
T1  - Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala
EP  - 909
IS  - 5
SP  - 905
VL  - 68
UR  - https://hdl.handle.net/21.15107/rcub_grafar_500
ER  - 

@article{
author = "Davidović, Miloš D. and Davidović, Milena and Srećković, Milesa",
year = "2013",
abstract = "Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals., U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.",
publisher = "Savez inženjera i tehničara Srbije, Beograd",
journal = "Tehnika",
title = "Use of Husimi function in time frequency signal analysis, Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala",
pages = "909-905",
number = "5",
volume = "68",
url = "https://hdl.handle.net/21.15107/rcub_grafar_500"
}

Davidović, M. D., Davidović, M.,& Srećković, M.. (2013). Use of Husimi function in time frequency signal analysis. in Tehnika
Savez inženjera i tehničara Srbije, Beograd., 68(5), 905-909.
https://hdl.handle.net/21.15107/rcub_grafar_500

Davidović MD, Davidović M, Srećković M. Use of Husimi function in time frequency signal analysis. in Tehnika. 2013;68(5):905-909.
https://hdl.handle.net/21.15107/rcub_grafar_500 .

Davidović, Miloš D., Davidović, Milena, Srećković, Milesa, "Use of Husimi function in time frequency signal analysis" in Tehnika, 68, no. 5 (2013):905-909,
https://hdl.handle.net/21.15107/rcub_grafar_500 .

TY  - JOUR
AU  - Davidović, Milos D.
AU  - Davidović, Milena
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/239
AB  - To better elucidate the essential energy transmission Mechanism in the most common, typical waveguides, the electromagnetic energy flow lines for a planar optical slab waveguide and a microwave rectangular waveguide are constructed. The obtained results supply more direct and transparent insight into the distribution of electromagnetic energy in the modes of various character.
T2  - Acta Physica Polonica A
T1  - Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines
EP  - 674
IS  - 4
SP  - 672
VL  - 116
UR  - https://hdl.handle.net/21.15107/rcub_grafar_239
ER  - 

@article{
author = "Davidović, Milos D. and Davidović, Milena",
year = "2009",
abstract = "To better elucidate the essential energy transmission Mechanism in the most common, typical waveguides, the electromagnetic energy flow lines for a planar optical slab waveguide and a microwave rectangular waveguide are constructed. The obtained results supply more direct and transparent insight into the distribution of electromagnetic energy in the modes of various character.",
journal = "Acta Physica Polonica A",
title = "Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines",
pages = "674-672",
number = "4",
volume = "116",
url = "https://hdl.handle.net/21.15107/rcub_grafar_239"
}

Davidović, M. D.,& Davidović, M.. (2009). Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines. in Acta Physica Polonica A, 116(4), 672-674.
https://hdl.handle.net/21.15107/rcub_grafar_239

Davidović MD, Davidović M. Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines. in Acta Physica Polonica A. 2009;116(4):672-674.
https://hdl.handle.net/21.15107/rcub_grafar_239 .

Davidović, Milos D., Davidović, Milena, "Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines" in Acta Physica Polonica A, 116, no. 4 (2009):672-674,
https://hdl.handle.net/21.15107/rcub_grafar_239 .

TY  - JOUR
AU  - Davidović, Milos D.
AU  - Davidović, Milena
AU  - Vojisavljević, Vuk
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/237
AB  - Time-frequency analysis is important to identify the localized information of a non-stationary signal in the time and frequency domains simultaneously. There are few different time-frequency analysis methods available with their own specialty and suitability. In quantum mechanics Husimi function of any quantum mechanical state arises naturally whenever the simultaneous measurement of both coordinate and momentum is performed on this state with maximal accuracy allowed by the Heisenberg uncertainty relations. The Husimi function is a probability distribution for the statistics of simultaneous unsharp measurement of both coordinate and momentum. In general, like the Wigner function, the Husimi function can be defined in the space of any pair of conjugate variables. In particular, in the studies of signal processing, this space is the time-frequency space. In the present work we consider the Husimi function in this space, and apply it to analyse the multicomponent signals. The time-frequency representations of the simulated signals by using the Husimi distribution clearly show the frequency features along the time axis. The results are encouraging and indicate that, like in corresponding analogous problems in quantum mechanics, the Husimi distribution approach in the time-frequency analysis for non-stationary optical signals may provide some insights which are not so easily obtained in other, more spread approaches.
PB  - Polish Academy of Sciences
T2  - Acta Physica Polonica A
T1  - Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function
EP  - 677
IS  - 4
SP  - 675
VL  - 116
DO  - 10.12693/APhysPolA.116.675
ER  - 

@article{
author = "Davidović, Milos D. and Davidović, Milena and Vojisavljević, Vuk",
year = "2009",
abstract = "Time-frequency analysis is important to identify the localized information of a non-stationary signal in the time and frequency domains simultaneously. There are few different time-frequency analysis methods available with their own specialty and suitability. In quantum mechanics Husimi function of any quantum mechanical state arises naturally whenever the simultaneous measurement of both coordinate and momentum is performed on this state with maximal accuracy allowed by the Heisenberg uncertainty relations. The Husimi function is a probability distribution for the statistics of simultaneous unsharp measurement of both coordinate and momentum. In general, like the Wigner function, the Husimi function can be defined in the space of any pair of conjugate variables. In particular, in the studies of signal processing, this space is the time-frequency space. In the present work we consider the Husimi function in this space, and apply it to analyse the multicomponent signals. The time-frequency representations of the simulated signals by using the Husimi distribution clearly show the frequency features along the time axis. The results are encouraging and indicate that, like in corresponding analogous problems in quantum mechanics, the Husimi distribution approach in the time-frequency analysis for non-stationary optical signals may provide some insights which are not so easily obtained in other, more spread approaches.",
publisher = "Polish Academy of Sciences",
journal = "Acta Physica Polonica A",
title = "Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function",
pages = "677-675",
number = "4",
volume = "116",
doi = "10.12693/APhysPolA.116.675"
}

Davidović, M. D., Davidović, M.,& Vojisavljević, V.. (2009). Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function. in Acta Physica Polonica A
Polish Academy of Sciences., 116(4), 675-677.
https://doi.org/10.12693/APhysPolA.116.675

Davidović MD, Davidović M, Vojisavljević V. Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function. in Acta Physica Polonica A. 2009;116(4):675-677.
doi:10.12693/APhysPolA.116.675 .

Davidović, Milos D., Davidović, Milena, Vojisavljević, Vuk, "Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function" in Acta Physica Polonica A, 116, no. 4 (2009):675-677,
https://doi.org/10.12693/APhysPolA.116.675 . .