Vol. 123
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2011-12-19
A Class of Polarization-Invariant Directional Cloaks by Concatenation via Transformation Optics
By
Progress In Electromagnetics Research, Vol. 123, 175-187, 2012
Abstract
This article is devoted to the construction and investigation of a class of polarization-invariant directional cloaks by concatenation of cloaking medium components via transformation optics. It improves the construction of the first polarization-invariant directional cloak, introduced by Agarwal et al. [1]. The main ingredient is to construct a capsuloid transformed metamaterial consisting of an lp-cylindrical transformation map and two half lp--spherical transformation maps. Numerical investigation is carried out to test the performances of the cloaks under different polarized incoming waves. A salient feature of our cloaks is compact-sizedness, namely the geometrical size is no longer dependent on the regularization parameter ρ under the non-uniform map. In particular, we study the cloaking effect with respect to the regularization parameter ρ and the incident direction.
Citation
Jingzhi Li, and Hongyu Liu, "A Class of Polarization-Invariant Directional Cloaks by Concatenation via Transformation Optics," Progress In Electromagnetics Research, Vol. 123, 175-187, 2012.
doi:10.2528/PIER11111706
References

1. Agarwal, K., X. Cheng, L. Hu, H. Liu, and B.-I. Wu, "Polarization-invariant directional cloaking by transformation optics," Progress In Electromagnetics Research, Vol. 118, 415-423, 2011.
doi:10.2528/PIER11061801

2. Bohren, C. F. and D. R. Huffman, Absorption and Scatttering of Light by Small Particles, Wiley, 1983.

3. Chen, H., C. T. Chan, and P. Sheng, "Transformation optics and metamaterials," Nature Materials, Vol. 9, 387-396, 2010.
doi:10.1038/nmat2743

4. Chen, H., B. Zhang, Y. Luo, B. A. Kemp, J. Zhang, L. Ran, and B.-I. Wu, "Lorentz force and radiation pressure on a spherical cloak," Phys. Rev. A, Vol. 80, No. 1, 011808.1-011808.4, 2009.

5. Cheng, X., H. Chen, X.-M. Zhang, B. Zhang, and B.-I. Wu, "Cloaking a perfectly conducting sphere with rotationally uniaxial nihility media in monostatic radar system," Progress In Electromagnetics Research, Vol. 100, 285-298, 2010.
doi:10.2528/PIER09112002

6. Cojocaru, E., "Illusion devices with internal or external circular objects designed by the coordinate transformation method," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 16, 2309-2317, 2010.
doi:10.1163/156939310793699091

7. Greenleaf, A., Y. Kurylev, M. Lassas, and G. Uhlmann, "Improvement of cylindrical cloaking with the SHS lining," Optics Express, Vol. 15, No. 20, 12717-12734, 2007.
doi:10.1364/OE.15.012717

8. Greenleaf, A., Y. Kurylev, M. Lassas, and G. Uhlmann, "Full-wave invisibility of active devices at all frequencies," Communications in Mathematical Physics, Vol. 275, 749-789, 2007.
doi:10.1007/s00220-007-0311-6

9. Greenleaf, A., M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiological Measurement, Vol. 24, 413-419, 2003.
doi:10.1088/0967-3334/24/2/353

10. Jiang, W. X., T. J. Cui, G. X. Yu, X. Q. Lin, Q. Cheng, and J. Y. Chin, "Arbitrarily elliptical-cylindrical invisible cloaking," Journal of Physics D: Applied Physics, Vol. 41, 085504, 2008.
doi:10.1088/0022-3727/41/8/085504

11. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, 1777-1780, 2006.
doi:10.1126/science.1126493

12. Li, J. and J. B. Pendry, "Hiding under the carpet: A new strategy for cloaking," Physical Review Letters, Vol. 101, 203901, 2008.
doi:10.1103/PhysRevLett.101.203901

13. Luo, Y., H. S. Chen, J. J. Zhang, L. X. Ran, and J. A. Kong, "Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations," Physical Review B, Vol. 77, 125-127, 2008.

14. Luo, Y., J. J. Zhang, H. S. Chen, L. X. Ran, B. I. Wu, and J. A. Kong, "A rigorous analysis of plane-transformed invisibility cloaks," IEEE Transactions on Antennas and Propagation, Vol. 12, 3926-3933, 2009.
doi:10.1109/TAP.2009.2027824

15. Ma, H. F., W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, "Compact-sized and broadband carpet cloak and free-space cloak," Optics Express, Vol. 17, 19947-19959, 2009.
doi:10.1364/OE.17.019947

16. Rosa, E. B., "The self and mutual inductances of linear conductors," Bulletin of the Bureau of Standards, Vol. 4, No. 2, 301, 1908.

17. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.
doi:10.1126/science.1125907

18. Xi, S., H. S. Chen, B. I. Wu, and J. A. Kong, "One-directional perfect cloak created with homogeneous material," IEEE Microwave and Wireless Components Letters, Vol. 19, No. 3, 131-133, 2009.
doi:10.1109/LMWC.2009.2013677

19. Ye, D., S. Xi, H. Chen, J. Huangfu, and L.-X. Ran, "Achieving large effective aperture antenna with small volume based on coordinate transformation," Progress In Electromagnetics Research, Vol. 111, 407-418, 2011.
doi:10.2528/PIER10081303

20. Zhai, Y.-B. and T.-J. Cui, "Three-dimensional axisymmetric invisibility cloaks with arbitrary shapes in layered-medium background," Progress In Electromagnetic Research B, Vol. 27, 151-163, 2011.

21. Zhang, B. L., H. S. Chen, B. I. Wu, and J. A. Kong, "Extraordinary surface voltage effect in the invisibility cloak with an active device inside," Phys. Rev. Lett., Vol. 100, 063904, 2008.
doi:10.1103/PhysRevLett.100.063904

22. Zhang, B. L., Y. Luo, X. G. Liu, and G. Barbastathis, "Macroscopic invisibility cloak for visible light," Phys. Rev. Lett., Vol. 106, 033901, 2011.
doi:10.1103/PhysRevLett.106.033901