Ukrainian Journal of Physical Optics


2026 Volume 27, Issue 4


ISSN 1816-2002 (Online), ISSN 1609-1833 (Print)

DETERMINATION OF POYNTING VECTOR CHARACTERISTICS

Mokhun, I., Danko, V., Kovalenko, A., Galushko, Yu. and Karabchyivskyi, M.

Author Information
1*Mokhun, I. ORCID logo SCOPUS logo, 2Danko, V. ORCID logo SCOPUS logo, 2Kovalenko, A. ORCID logo SCOPUS logo, 1Galushko, Yu. SCOPUS logo, 1Karabchyivskyi, M. SCOPUS logo
1Yuriy Fedkovych Chernivtsi National University, 2, Kotsiubynskoho St., Chernivtsi 58002, Ukraine
2Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska St., Kyiv, 01601, Ukraine
*Corresponding author: i.mokhun@chnu.edu.ua

ABSTRACT

This paper presents a novel method for measuring the Poynting vector characteristics of monochromatic electromagnetic waves. We outline a specific design for such a meter and provide experimental data to validate the approach. For testing, we used vortex beams with linear and circular polarization.

Keywords: Poynting vector, Shack-Hartmann method, vortex, polarization, singularity

UDC: 535.1, 53.083.9

    1. Gbur, G.J. (2016). Singular Optics . Taylor & Francis.
      doi:10.1201/9781315374260
    2. Senthilkumaran, P. (2018). Singularities in physics and engineering: Properties, methods, and applications . IOP Publishing.
      doi:10.1088/978-0-7503-1698-9
    3. Soskin, M.S., & Vasnetsov, M.V. (2001). Singular optics. Progress in Optics, 42, 219-276.
      doi:10.1016/S0079-6638(01)80018-4
    4. Mokhun, I.I. (2007). Introduction to linear singular optics. In OV Angelsky (Ed.), Optical correlation techniques and applications (pp. 1-132). SPIE Press.
      doi:10.1117/3.714999.ch1
    5. Bekshaev, A., Bliokh, K., & Soskin, M. (2011). Internal flows and energy circulation in light beams. Journal of Optics, 13 (5), 053001.
      doi:10.1088/2040-8978/13/5/053001
    6. Bekshaev, A., & Soskin, M. (2007). Transverse energy flows in vectorial fields of paraxial beams with singularities. Optics Communications, 271 (2), 332-348.
      doi:10.1016/j.optcom.2006.10.057
    7. Berry, M.V., & Dennis, M.R. (2011). Stream function for optical energy flow. Journal of Optics, 13 (6), 064004.
      doi:10.1088/2040-8978/13/6/064004
    8. Poynting, J.H. (1909). Wave motion of revolving shaft, і suggestion as to angular momentum в beam of circularly polarised light. Proceedings of the Royal Society A, 82 (557), 560-567.
      doi:10.1098/rspa.1909.0060
    9. Beth, R.A. (1936). Mechanical detection and measurement of the angular momentum of light. Physical Review, 50 (2), 115-125.
      doi:10.1103/PhysRev.50.115
    10. Allen, L., Padgett, M.J., & Babiker, M. (1999). The orbital angular momentum of light. In E. Wolf (Ed.), Progress in Optics (Vol. 39, pp. 291-372). Elsevier.
      doi:10.1016/S0079-6638(08)70391-3
    11. McGloin, D. (2006). Optical tweezers: 20 years on. Philosophical Transactions of Royal Society A: Mathematical, Physical and Engineering Sciences, 364 (1849), 3521-3537.
      doi:10.1098/rsta.2006.1891
    12. Lang, M.J., & Block, S.M. (2003). Resource letter: LBOT-1: Laser-based optical tweezers. American Journal of Physics, 71 (3), 201-215.
      doi:10.1119/1.1532323
    13. Mokhun, I., & Khrobatin, R. (2008). Shift application point of angular momentum in area of elementary polarization singularity. Journal of Optics A: Pure and Applied Optics, 10 (6), 064015.
      doi:10.1088/1464-4258/10/6/064015
    14. Mokhun, I., Mokhun, A., Viktorovskaya, Ju. (2006). "Singularities of Poynting vector and the structure of optical fields". Ukr. J. Phys. Opt., 7, 129-141.
      doi:10.3116/16091833/7/3/129/2006
    15. Olmos-Trigo, J., Abujetas, D.R., Sanz-Fernández, C., Zambrana-Puyalto, X., de Sousa, N., Sánchez-Gil, J.A., & Sáenz, J.J. (2020). Unveiling dipolar spectral regimes of large dielectric Mie spheres from helicity conservation. Physical Review Research, 2(4), 043021.
      doi:10.1103/PhysRevResearch.2.043021
    16. Sadiku, M.N.O., Musa, S., & Nelatury, S.R. (2016). Free space optical communications: An overview. European Scientific Journal, 12 (9), 55.
      doi:10.19044/esj.2016.v12n9p55
    17. Mokhun, I., Arkhelyuk, A., Galushko, Yu., Kharitonova, Ye., Viktorovskay, Ju.. (2012). Experimental analysis of the Poynting vector characteristics. Applied Optics, 51 (10), C158-C162.
      doi:10.1364/AO.51.00C158
    18. Hartmann, J. (1900). Bemerkungen über den Bau und die Justierung von Spektrographen. Zeitschrift für Instrumentenkunde, 20 , 47-58.
    19. Murphy, K., Burke, D., Devaney, N., & Dainty, C. (2010). Experimental detection of optical vortices with Shack-Hartmann wavefront sensor. Optics Express, 18 (15), 15448-15460.
      doi:10.1364/OE.18.015448
    20. Huang, H., Luo, J., Matsui, Y., Toyoda, H., & Inoue, T. (2015). Eight-connected contour method for accurate position detection of optical vortices using Shack-Hartmann wavefront sensor. Optical Engineering, 54 (11), 111302.
      doi:10.1117/1.OE.54.11.111302
    21. Born, M. & Wolf, E. (1980). Principles of optics (6th ed.). Pergamon Press.
    22. Heckenberg, N.R., McDuff, R., Smith, C.P., & White, A.G. (1992). Generation of optical singularities by computer-generated holograms. Optics Letters, 17 (3), 221-223.
      doi:10.1364/OL.17.000221
    23. Basisty, I.V., Soskin, M.S., & Vasnetsov, M.V. (1995). Optical wavefront dislocations and their properties. Optics Communications, 119 (5-6), 604-612.
      doi:10.1016/0030-4018(95)00267-C

    У цій статті представлено новий метод вимірювання характеристик вектора Пойнтинга монохроматичних електромагнітних хвиль. Ми описали конструкцію такого вимірювача та експериментально перевірили метод. Для тестування були використані вихрові пучки як з лінійною, так і з круговою поляризацією.

    Ключові слова: вектор Пойнтинга, метод Шака-Гартмана, вихор, поляризація, сингулярність

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