We study the diffraction of a Laguerre–Gaussian electromagnetic vortex beam by the end of a semi-infinite cylinder filled with a gyrotropic medium. A system of integral equations for the coefficients of eigenfunction expansions of the field in free half-space and the half-space, which contains the cylinder, is obtained and solved. The possibility of frequency-selective excitation of the lowest eigenmodes of the cylinder with given azimuthal indices by a Laguerre–Gaussian beam with the corresponding values of the topological charge is demonstrated.
Similar content being viewed by others
References
M. V. Berry, J. Opt. A: Pure Appl. Opt., 6, No. 2, 259–268 (2004). https://doi.org/10.1088/1464-4258/6/2/018
J. P. Torres and L. Torner, eds., Twisted Photons, Wiley, Singapore (2011).
J. Wang, J.-Y. Yang, I. M. Fazal, et al., Nat. Photon., 6, No. 7, 488–496 (2012). https://doi.org/10.1038/nphoton.2012.138
B. C. Hiesmayr, M. J. A. de Dood, and W. Loffler, Phys. Rev. Lett., 116, No. 7, 073601 (2016). https://doi.org/10.1103/PhysRevLett.116.073601
L.-X. Hu, T.-P. Yu, Y. Lu, et al., Plasma Phys. Control. Fusion, 61, No. 2, 025009 (2018). https://doi.org/10.1088/1361-6587/aaefb6
C. Baumann and A. Pukhov, Phys. Plasmas, 25, No. 8, 083114 (2018). https://doi.org/10.1063/1.5044617
S. M. Rytov, Sov. Phys. JETP, 2, No. 3, 466–475 (1956).
M. Othman, C. Guclu, and F. Capolino, Opt. Express, 21, No. 6, 7614–7632 (2013). https://doi.org/10.1364/OE.21.007614
O. Kidwai, S. V. Zhukovsky, and J. E. Sipe, Phys. Rev. A, 85, No. 5, 053842 (2012). https://doi.org/10.1103/PhysRevA.85.053842
V. P. Gusynin, S. G. Sharapov, and J. P. Carbotte, J. Phys. Condens. Matter, 19, No. 2, 026222 (2007). https://doi.org/10.1088/0953-8984/19/2/026222
W. P. Allis, S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas, MIT Press, Cambridge, MA (1963).
A. N. Kondratenko, Plasma Waveguides [in Russian], Atomizdat, Moscow (1976).
I. G. Kondrat’ev, A. V. Kudrin, and T. M. Zaboronkova, Electrodynamics of Density Ducts in Magnetized Plasmas, Gordon and Breach, Amsterdam (1999).
V. V. Shevchenko, Continuous Transitions in Open Waveguides, Golem Press, Boulder, CO (1971).
V. A. Es’kin and A. V. Kudrin, in: Proc. of the Progress in Electromagnetics Research Symposium (PIERS), May 22–25, 2017, St. Petersburg, Russia, pp. 843–848. https://doi.org/10.1109/PIERS.2017.8261860
V. A. Es’kin, T. M. Zaboronkova, and A. V. Kudrin, Radiophys. Quantum Electron., 51, No. 1, 28–44 (2008). https://doi.org/10.1007/s11141-008-9003-0
L. A. Weinstein, Electromagnetic Waves [in Russian], Radio i Svyaz’, Moscow (1988).
F. Maucher, S. Skupin, S. A. Gardiner, and I. G. Hughes, New J. Phys., 21, No. 1, 013032 (2019). https://doi.org/10.1088/1367-2630/aaf711
Y. I. Salamin, Phys. Rev. A, 73, No. 4, 043402 (2006). https://doi.org/10.1103/PhysRevA.73.043402
F. Maucher, S. Skupin, S. A. Gardiner, and I. G. Hughes, Phys. Rev. Lett., 120, No. 16, 163903 (2018). https://doi.org/10.1103/PhysRevLett.120.163903
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, Nos. 1, pp. 29–40, January 2021. Russian DOI: 10.52452/00213462_2021_64_01_29
Rights and permissions
About this article
Cite this article
Es’kin, V.A., Kudrin, A.V. Excitation of Eigenwaves by a Vortex Electromagnetic Beam in a Semi-Infinite Cylinder Filled with a Gyrotropic Medium. Radiophys Quantum El 64, 26–37 (2021). https://doi.org/10.1007/s11141-021-10109-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-021-10109-4