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Total Reflection and Cloaking by Triangular Defects Embedded in Zero Index Metamaterials

Published online by Cambridge University Press:  23 March 2015

Yunqing Huang
Affiliation:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, China
Jichun Li*
Affiliation:
Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, Nevada 89154-4020, USA
*
*Corresponding author. Email: huangyq@xtu.edu.cn (Y. Q. Huang), jichun@unlv.nevada.edu (J. C. Li)
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Abstract

In this work, we investigate wave propagation through a zero index meta-material (ZIM) waveguide embedded with triangular dielectric defects. We provide a theoretical guidance on how to achieve total reflection and total transmission (i.e., cloaking) by adjusting the defect sizes and/or permittivities of the defects. Our work provides a systematical way in manipulating wave propagation through ZIM in addition to the widely studied dielectric defects with cylindrical and rectangular geometries.

Type
Research Article
Copyright
Copyright © Global-Science Press 2015 

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References

[1]Ziolkowski, R. W., Propagation in and scattering from a matched metamaterial having a zero index of refraction, Phys. Rev. E, 70 (2004), 046608.CrossRefGoogle ScholarPubMed
[2]Edwards, B., Alú, A., Young, M. E., Silveirinha, M. and Engheta, N., Experimental verification of epsilon-near-zero metamaterial coupling and energy squeezing using a microwave waveguide, Phys. Rev. Lett., 100 (2008), 033903.CrossRefGoogle ScholarPubMed
[3]Liu, R., Cheng, Q., Hand, T., Mock, J. J., Cui, T. J., Cummer, S. A. and Smith, D. R., Experimental demonstration of electromagnetic tunneling through an epsilon-near-zero metamaterial at microwave frequencies, Phys. Rev. Lett., 100 (2008), 023903.CrossRefGoogle ScholarPubMed
[4]Silveirinha, M. and Engheta, N., Tunneling of electromagnetic energy through subwavelength channels and bends using o-near-zero materials, Phys. Rev. Lett., 97 (2006), 157403.CrossRefGoogle ScholarPubMed
[5]Ma, H. F., Shi, J. H., Jiang, W. X. and Cui, T. J., Experimental realization of bending waveguide using anisotropic zero-index materials, Appl. Phys. Lett., 101 (2012), 253513.Google Scholar
[6]Hao, J., Yan, W. and Qiu, M., Super-reflection and cloaking based on zero index metamaterial, Appl. Phys. Lett., 96 (2010), 101109.CrossRefGoogle Scholar
[7]Huang, X., Lai, Y., Hang, Z. H., Zheng, H. and Chan, C. T., Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials, Nat. Mater., 10 (2011), 582.CrossRefGoogle ScholarPubMed
[8]Luo, J., Xu, P., Gao, L., Lai, Y. and Chen, H., Manipulate the transmissions using index-near-zero or epsilon-near-zero metamaterials with coated defects, Plasmonics, 7 (2012), 353.CrossRefGoogle Scholar
[9]Nguyen, V. C., Chen, L. and Halterman, K., Total transmission and total reflection by zero index metamaterials with defects, Phys. Rev. Lett., 105 (2010), 233908.CrossRefGoogle ScholarPubMed
[10]Xu, Y. and Chen, H., Total reflection and transmission by epsilon-near-zero metamaterials with defects, Appl. Phys. Lett., 98 (2011), 113501.CrossRefGoogle Scholar
[11]Wu, Y. and Li, J., Total reflection and cloaking by zero index metamaterials loaded with rectangular dielectric defects, Appl. Phys. Lett., 102 (2013), 183105.CrossRefGoogle Scholar
[12]Li, J. and Huang, Y., Time-Domain Finite Element Methods for Maxwell’s Equations in Metamaterials, Springer Series in Computational Mathematics, Vol. 43, Springer, January 2013.Google Scholar
[13]Mccartin, B. J., Eigenstructure of the equilateral triangle, Part I: The Dirichlet problem, SIAM Rev., 45(2) (2003), pp. 267287.CrossRefGoogle Scholar
[14]Damle, A. and Peterson, G. C., Understanding the eigenstructure of various triangles, SIAM Undergraduate Research Online, 3(1) (2010), pp. 187208.CrossRefGoogle Scholar
[15]Greenleaf, A., Lassas, M. and Uhlmann, G., On nonuniqueness for Calderón’s inverse problem, Math. Res. Lett., 10 (2003), pp. 685693.CrossRefGoogle Scholar
[16]Milton, G. W. and Nicorovici, N.-A. P., On the cloaking effects associated with anomalous localized resonance, Proc. R. Soc. Lond. Ser. A, 462 (2006), pp. 30273059.CrossRefGoogle Scholar
[17]Pendry, J. B., Schurig, D. and Smith, D. R., Controlling electromagnetic fields, Science, 312 (2006), pp. 17801782.CrossRefGoogle ScholarPubMed
[18]Leonhardt, U., Optical conformal mapping, Science, 312 (2006), pp. 17771780.CrossRefGoogle ScholarPubMed
[19]Kohn, R., Shen, H., Vogelius, M. and Weinstein, M., Cloaking via change of variables in electrical impendance tomography, Inverse Problems, 24 (2008), 015016.CrossRefGoogle Scholar
[20]Guevara Vasquez, F., Milton, G. W. and Onofrei, D., Broadband exterior cloaking, Opt. Express, 17(2009), pp. 1480014805.CrossRefGoogle Scholar
[21]Greenleaf, A., Kurylev, Y., Lassas, M. and Uhlmann, G., Cloaking devices, electromagnetics wormholes and transformation optics, SIAM Rev., 51 (2009), pp. 333.CrossRefGoogle Scholar
[22]Ammari, H., Kang, H., Lee, H., Lim, M. and Yu, S., Enhancement of near cloaking for the full Maxwell equations, SIAM J. Appl. Math., 73 (2009), pp. 20552076.CrossRefGoogle Scholar
[23]Li, J. and Huang, Y., Mathematical simulation of cloaking metamaterial structures, Adv. Appl. Math. Mech., 4(1) (2012), pp. 93101.CrossRefGoogle Scholar
[24]Li, J., Huang, Y. and Yang, W., Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks, J. Comput. Phys., 231 (2012), pp. 28802891.CrossRefGoogle Scholar
[25]Bao, G. and Liu, H., Nearly cloaking the electromagnetic fields, SIAM J. Appl. Math., 74(3) (2014), pp. 724742.CrossRefGoogle Scholar
[26]Bao, G., Liu, H. and Zou, J., Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers, J. Math. Pure Appl., 101 (2014), pp. 716733.CrossRefGoogle Scholar
[27]Li, J., Huang, Y., Yang, W. AND Wood, A., Mathematical analysis and time domain finite element simulation of carpet cloak, SIAM J. Appl. Math., 74(4) (2014), pp. 11361151.CrossRefGoogle Scholar
[28]Huang, Y., Li, J. and Lin, Y., Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media, Adv. Appl. Math. Mech., 5(4) (2013), pp. 494509.CrossRefGoogle Scholar
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