Abstract
Laguerre–Gaussian (LG) beam scattering by a perfect electromagnetic conductor (PEMC) cylinder coated with a metamaterial is analyzed. In order to obtain the LG beam scattering from PEMC cylinder, the beam expressions are modified by considering the LG potential and plane wave scattering. The influence of beam parameters such as; the radial mode \((p)\), azimuthal mode \((l)\), and beam waist radius \({(w}_{0})\) is studied. The normalized bistatic radar cross section can be amplified or repressed using these parameters. A comparison of our results for \(p=0\) and \(l=0\) (fundamental Gaussian beam) by a PEMC coated cylinder is carried out and indicates good agreement for plane wave scattering.
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References
Ahmed, S., Naqvi, Q.: Electromagnetic scattering from a perfect electromagnetic conductor circular cylinder coated with a metamaterial having negative permittivity and/or permeability. Opt. Commun. 281, 5664–5670 (2008)
Allen, L., Beijersbergen, M.W., Spreeuw, R., et al.: Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992)
Arfan, M., Ghaffar, A., Alkanhal, M.A., et al.: Electromagnetic Radiation Force of Vortex Electromagnetic wave exerted on a perfect electromagnetic conductor (PEMC) Sphere. Kuwait J. Sci. (2021a). https://doi.org/10.48129/kjs.20775
Arfan, M., Alkanhal, M.A., Ghaffar, A., et al.: Scattering of Laguerre–Gaussian beam from a chiral-coated perfect electromagnetic conductor (PEMC) cylinder. J. Comput. Electron. 1, 1–10 (2022a)
Arfan, M., Ghaffar, A., Alkanhal, M.A., et al.: Orbital angular momentum wave scattering from perfect electromagnetic conductor (PEMC) sphere. Optik 1, 168562 (2022b)
Arfan, M., Ghaffar, A., Naz, M., et al.: Radar Cross Section (RCS) of perfect electromagnetic conductor (PEMC) cylinder by a Laguerre–Gaussian beam. Kuwait J. Sci. (2021b)
Ayub, M., Ali, S., Mendonca, J.: Phonons with orbital angular momentum. Phys. Plasmas 18, 102117 (2011)
Balanis, C.A.: Advanced Engineering Electromagnetics. Wiley (1999)
Bohren, C.F., Huffman, D.R.: Absorption and Scattering of Light by Small Particles. John Wiley & Sons (2008)
Borja, A.L.: Metamaterials: Devices and Applications: BoD–Books on Demand (2017)
Chen, R., Zhou, H., Moretti, M., et al.: Orbital angular momentum waves: generation, detection, and emerging applications. IEEE Commun. Surv. Tutor. 22, 840–868 (2019)
Cui, Z., Guo, S., Wang, J., et al.: Light scattering of Laguerre–Gaussian vortex beams by arbitrarily shaped chiral particles. JOSA A 38, 1214–1223 (2021)
Khan, S.: Vortex type oscillations in a multi-component plasma. Results Phys. 7, 4065–4070 (2017)
Khan, S.A., Ali, S., Mendonca, J.: Plasmons carrying orbital angular momentum in quantum plasmas. J. Plasma Phys. 79, 973–979 (2013)
Kimel, I., Elias, L.R.: Relations between hermite and laguerre gaussian modes. IEEE J. Quant. Electron. 29, 2562–2567 (1993)
Kogelnik, H., Li, T.: Laser beams and resonators. Appl. Opt. 5, 1550–1567 (1966)
Li, C., Shen, Z.: Electromagnetic scattering by a conducting cylinder coated with metamaterials. Progress Electromagn. Res. 42, 91–105 (2003)
Lindell, I.V., Sihvola, A.H.: Perfect electromagnetic conductor. J. Electromag. Waves Appl. 19, 861–869 (2005)
Liu, Z., Shen, J., Yu, H.: Scattering of Laguerre-Gauss light beam by a sphere: the angular spectrum decomposition method and a comparison with the localized approximation method. J. Quant. Spectrosc. Radiat. Transfer 287, 108214 (2022)
Lü, H., Ke, X.-Z.: Scattering of a beam with orbital angular momentum by a single sphere (2009)
Mendonca, J., Ali, S., Thidé, B.: Plasmons with orbital angular momentum. Phys. Plasmas 16, 21031–21035 (2009)
O’neil A, MacVicar I, Allen L, et al.: Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. Phys. Rev. Lett. 88, 053601 (2002)
Padgett, M.: Light’s twist. Proc. r. Soc. a: Math. Phys. Eng. Sci. 470, 20140633 (2014)
Qu, T., Wu, Z.-S., Shang, Q.-C., et al.: Light scattering of a Laguerre–Gaussian vortex beam by a chiral sphere. JOSA a. 33, 475–482 (2016)
Qu, T., Wu, Z., Shang, Q., et al.: Scattering and propagation of a Laguerre–Gaussian vortex beam by uniaxial anisotropic bispheres. J. Quant. Spectrosc. Radiat. Transfer 209, 1–9 (2018)
Ruppin, R.: Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder. J. Electromagn. Waves Appl. 20, 1853–1860 (2006a)
Ruppin, R.: Scattering of electromagnetic radiation by a perfect electromagnetic conductor sphere. J. Electromagn. Waves Appl. 20, 1569–1576 (2006b)
Shahzad, K., Ali, S.: Finite orbital angular momentum states and Laguerre–Gaussian potential in two-temperature electron plasmas. Astrophys. Space Sci. 353, 3–8 (2014)
Thakur, A., Berakdar, J.: Self-focusing and defocusing of twisted light in non-linear media. Opt. Express 18, 27691–27696 (2010)
Thakur, A., Berakdar, J.: Reflection and transmission of twisted light at phase conjugating interfaces. Opt. Express 20, 1301–1307 (2012)
Thidé, B., Then, H., Sjöholm, J., et al.: Utilization of photon orbital angular momentum in the low-frequency radio domain. Phys. Rev. Lett. 99, 087701 (2007)
Wang, W., Gozali, R., Shi, L., et al.: Deep transmission of Laguerre–Gaussian vortex beams through turbid scattering media. Opt. Lett. 41, 2069–2072 (2016)
Wartak, M.S., Tsakmakidis, K.L., Hess, O.: Introduction to metamaterials. Phys. Can. 67, 30–34 (2011)
Yao, A.M., Padgett, M.J.: Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon. 3, 161–204 (2011)
Yu, M.P., Han, Y., Cui, Z.: Scattering of non-diffracting vortex electromagnetic wave by typical targets. Progress Electromagn. Res. 70, 139–146 (2017)
Yu, M., Han, Y., Cui, Z., et al.: Scattering of a Laguerre–Gaussian beam by complicated shaped biological cells. JOSA a. 35, 1504–1510 (2018)
Zambrana-Puyalto, X., Molina-Terriza, G.: The role of the angular momentum of light in Mie scattering. Excitation of dielectric spheres with Laguerre–Gaussian modes. J. Quant. Spectrosc. Radiat. Transfer 126, 50–55 (2013)
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The authors extend their appreciation to the Deputyship for Research and Innovation, “Ministry of Education” in Saudi Arabia for funding this research work through the project number IFKSURG-2-676.
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Arfan, M., Ghaffar, A., Naz, M.Y. et al. Laguerre–Gaussian beam interaction by a metamaterial coated perfect electromagnetic conductor (PEMC) cylinder. Opt Quant Electron 55, 252 (2023). https://doi.org/10.1007/s11082-022-04501-1
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DOI: https://doi.org/10.1007/s11082-022-04501-1