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Backscattering cross-section from a metamaterial coated sphere covered with a metasurface

Published online by Cambridge University Press:  22 April 2021

Farah R. Abbasi
Affiliation:
Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan
Z. A. Awan*
Affiliation:
Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan
Arshad Hussain
Affiliation:
Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan
*
Author for correspondence: Z. A. Awan, E-mail: [email protected]

Abstract

An analysis about the backscattering characteristics of a metamaterial coated magnetodielectric sphere covered with a metasurface has been presented. The effects of various types of metamaterial coatings and surface reactances of lossless metasurface upon the backscattering cross-section of a metamaterial coated magnetodielectric sphere covered with a metasurface have been studied. It is shown that the negligible backscattering cross-section from a double near-zero metamaterial coated magnetodielectric sphere can be enhanced significantly by using specific types of lossless metasurfaces. These types of enhanced backscattering cross-section find applications in the radar detection problems. The proposed theory is also extended to the lossy double negative metamaterial coated magnetodielectric sphere covered with a lossless metasurface. During the study, it is found that for a specific part of the lossy double negative metamaterial bandwidth, two specific types of lossless metasurfaces can be used to reduce the backscattering cross-section as compared to the backscattering cross-section of a lossy double negative metamaterial coated magnetodielectric sphere without metasurface.

Type
Metamaterials and Photonic Bandgap Structures
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press in association with the European Microwave Association

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References

Aden, AL and Kerker, M (1951) Scattering of electromagnetic waves from two concentric spheres. Journal of Applied Physics 22, 12421246.CrossRefGoogle Scholar
Kerker, M (1969) The scattering of light: and other electromagnetic radiation. New York: Academic Press.Google Scholar
van de Hulst, HC (1981) Light scattering by small particles. New York: Dover Publications.Google Scholar
Bohren, CF and Huffman, DR (1983) Absorption and scattering of light by small particles. New York: Wiley.Google Scholar
Wait, JR (1967) Electromagnetic scattering from a radially inhomogeneous sphere. Applied Scientific Research, Section B 10, 441450.CrossRefGoogle Scholar
Bhandari, R (1985) Scattering coefficients for a multilayered sphere: analytic expressions and algorithms. Applied Optics 24, 19601967.CrossRefGoogle ScholarPubMed
Fenn, RW and Oser, H (1965) Scattering properties of concentric soot-water spheres for visible and infrared light. Applied Optics 4, 15041509.CrossRefGoogle Scholar
Kattawar, GW and Hood, DA (1976) Electromagnetic scattering from a spherical polydispersion of coated spheres. Applied Optics 15, 19961999.CrossRefGoogle ScholarPubMed
Toon, OB and Ackerma, TP (1981) Algorithms for the calculation of scattering by stratified spheres. Applied Optics 20, 36573660.CrossRefGoogle ScholarPubMed
Yang, P, Gao, BC, Wiscombe, WJ, Mishchenko, MI, Platnick, SE, Huang, HL, Baum, BA, Hu, YX, Winker, DM, Tsay, SC and Park, SK (2002) Inherent and apparent scattering properties of coated or uncoated spheres embedded in an absorbing host medium. Applied Optics 41, 27402759.CrossRefGoogle ScholarPubMed
Hightower, RL and Richardson, CB (1988) Resonant Mie scattering from a layered sphere. Applied Optics 27, 48504855.CrossRefGoogle ScholarPubMed
Qiu, CW and Gao, L (2008) Resonant light scattering by small coated nonmagnetic spheres: magnetic resonances, negative refraction, and prediction. Journal of the Optical Society of America B 25, 17281737.CrossRefGoogle Scholar
Lock, JA and Laven, P (2012) Understanding light scattering by a coated sphere Part 1: theoretical considerations. Journal of the Optical Society of America A 29, 14891497.CrossRefGoogle ScholarPubMed
Laven, P and Lock, JA (2012) Understanding scattering by a coated sphere. Part 2: time domain analysis. Journal of the Optical Society of America A 29, 14981507.CrossRefGoogle ScholarPubMed
Alam, M and Massoud, Y (2006) A closed-form analytical model for single nanoshells. IEEE Trans. on Nanotech. 5, 265272.CrossRefGoogle Scholar
Li, JLW, Li, ZC, She, HY, Zouhdi, S, Mosig, JR and Martin, OJF (2009) A new closed-form solution to light scattering by spherical nanoshells. IEEE Transactions on Nanotechnology 8, 617626.CrossRefGoogle Scholar
Li, J, Salandrino, A and Engheta, N (2007) Shaping light beams in the nanometer scale: a Yagi-Uda nanoantenna in the optical domain. Phy. Rev. B 76, 245403.CrossRefGoogle Scholar
Wheeler, MS, Aitchison, JS and Mojahedi, M (2006) Coated nonmagnetic spheres with a negative index of refraction at infrared frequencies. Phy. Rev. B 73, 045105.CrossRefGoogle Scholar
Awan, ZA (2015) Nonlocal effective parameters of a coated sphere medium. Journal of Modern Optics 62, 528535.CrossRefGoogle Scholar
Ahmad, Z, Awan, ZA and Hussain, A (2020) Electromagnetic characteristics of a metasurface composed of uncoated and coated spherical particles. Optik 220, 165103.CrossRefGoogle Scholar
Alù, A and Engheta, N (2003) Pairing an epsilon-negative slab with a mu-negative slab: resonance tunneling and transparency. IEEE Trans. Antennas and Propagation 51, 25582571.CrossRefGoogle Scholar
Alù, A and Engheta, N (2004) Guided modes in a waveguide filled with a pair of single-negative (SNG) double-negative (DNG), and/or double-positive (DPS) layers. IEEE Trans. Microwave Theory and Techniques 52, 199210.CrossRefGoogle Scholar
Engheta, N, Alù, A, Silveirinha, MG, Salandrino, A and Li, J (2006) DNG, SNG, ENZ and MNZ metamaterials and their potential applications. IEEE MELECON 16–19, Benalmadena, Spain.Google Scholar
Gao, L and Huang, Y (2004) Extinction properties of a coated sphere containing a left-handed material. Optics Communications 239, 2531.CrossRefGoogle Scholar
Alù, A and Engheta, N (2005) Polarizabilities and effective parameters of collections of spherical nanoparticles formed by pairs of concentric double-negative (DNG) single-negative (SNG) shells, and/or double-positive (DPS) metamaterial layers. Journal of Applied Physics 97, 094310.CrossRefGoogle Scholar
Alù, A and Engheta, N (2005) Achieving transparency with plasmonic and metamaterial coatings. Physical Review E 72, 016623-1016623-9.CrossRefGoogle ScholarPubMed
Arruda, TJ, Pinheiro, FA and Martinez, AS (2012) Electromagnetic energy within coated spheres containing dispersive metamaterials. Journal of Optics 14, 065101-1065101-9.CrossRefGoogle Scholar
Awan, ZA (2015) Effects of material parameters upon the dipolar scattering characteristics of uncoated or coated sphere. Applied Optics 54, 33233330.CrossRefGoogle ScholarPubMed
Valagiannopoulos, CA (2009) On smoothening the singular field developed in the vicinity of metallic edges. International Journal of Applied Electromagnetics and Mechanics 31, 6777.CrossRefGoogle Scholar
Chien, W (2008) Inverse scattering of an un-uniform conductivity scatterer buried in a three-layer structure. Progress in Electromagnetics Research 82, 118.CrossRefGoogle Scholar
Abrashuly, A and Valagiannopoulos, CA (2019) Limits for absorption and scattering by core-shell nanowires in the visible spectrum. Physical Review Applied 11, 014051-1014051-11.CrossRefGoogle Scholar
Mishra, KV, Hodge, JA and Zaghloul, AI, Reconfigurable metasurfaces for radar and communications Systems. URSI Asia-Pacific Radio Science Conference (AP-RASC), New Delhi, 09–15 March 2019.CrossRefGoogle Scholar
Li, T, Yang, H, Li, Q, Zhang, C, Han, J, Cong, L, Cao, X and Gao, J (2019) Active metasurface for broadband radiation and integrated low radar cross section. Optical Materials Express 9, 11611172.CrossRefGoogle Scholar
Alù, A (2009) Mantle cloak: Invisibility induced by a surface. Physical Review B 80, 245115-1–5.CrossRefGoogle Scholar
Chen, PY and Alù, A (2011) Mantle cloaking using thin patterned metasurfaces. Physical Review B 84, 205110-1205110-13.CrossRefGoogle Scholar
Shore, RA and Yaghjian, AD (2006) Traveling waves on two- and three-dimensional periodic arrays of lossless acoustic monopoles, electric dipoles, and magnetodielectric spheres. AFRL-SN-HS-TR-2006-0039, Hanscom AFB MA 01731-2909, pp. 1–215.CrossRefGoogle Scholar
Awan, ZA and Seetharamdoo, D (2020) Scattering characteristics of a metasurface covered chiral sphere. Applied Optics 59, 56705679.CrossRefGoogle ScholarPubMed
Balanis, CA (1989) Advanced engineering electromagnetics. New York: Wiley.Google Scholar
Jin, JM (2015) Theory and computation of electromagnetic fields. New Jersey: Wiley.Google Scholar
Hayran, Z, Kurt, H, Herrero, R, Botey, M, Staliunas, K and Staliunas, K (2018) All-dielectric self-cloaked structures. ACS Photonics 5, 20682073.CrossRefGoogle Scholar
Sheverdin, A and Valagiannopoulos, C (2019) Core-shell nanospheres under visible light Optimal absorption scattering, and cloaking. Physical Review B 99, 075305-1075305-11.CrossRefGoogle Scholar
Valagiannopoulos, CA (2007) An overview of the Watson transformation presented through a simple example. Progress In Electromagnetics Research 75, 137152.CrossRefGoogle Scholar
Wu, ZS, Shang, QC and Li, ZJ (2012) Calculation of electromagnetic scattering by a large chiral sphere. Applied Optics 51, 66616668.CrossRefGoogle ScholarPubMed
Awan, ZA, Ullah, H, Ullah, A and Ashraf, A (2020) Effective parameters of a metamaterial composed of dielectric coated conducting cylindrical rods. International Journal of Microwave and Wireless Technologies 12, 797808.CrossRefGoogle Scholar
Basharin, AA, Mavidis, C, Kafesaki, M, Economou, EN and Soukoulis, CM (2013) Epsilon near zero based phenomena in metamaterials. Physical Review B 87, 155130-1155130-9.CrossRefGoogle Scholar
Pendry, JB, Holden, AJ, Robbins, DJ and Stewart, WJ (1998) Low frequency plasmons in thin-wire structures. Journal of Physics. Condensed Matter 10, 47854809.CrossRefGoogle Scholar
Pendry, JB, Holden, AJ, Robbins, DJ and Stewart, WJ (1999) Magnetism from conductors and enhanced nonlinear phenomena. IEEE Transactions on Microwave Theory and Techniques 47, 20752084.CrossRefGoogle Scholar
Ziolkowski, RW and Heyman, E (2001) Wave propagation in media having negative permittivity and permeability. Physical Review E 64, 056625-1056625-15.CrossRefGoogle ScholarPubMed
Smith, DR, Schultz, S, Markos, P and Soukoulis, CM (2002) Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients. Physical Review B 65, 195104-1195104-5.CrossRefGoogle Scholar