1. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, No. 5781, 1780-1782, 2006.
doi:10.1126/science.1125907 Google Scholar
2. Leonhardt, U. and T. G. Philbin, "Transformation optics and the geometry of light," Progress in Optics, Vol. 53, 69-152, Elsevier, 2009. Google Scholar
3. Dolin, L. S., "To the possibility of comparison of three-dimensional electromagnetic systems with nonuniform anisotropic filling," Izv. Vyssh. Uchebn. Zaved. Radiofizika, Vol. 4, No. 5, 964-967, 1961. Google Scholar
4. Nicolet, A., F. Zolla, and S. Guenneau, "Modelling of twisted optical waveguides with edge elements," The European Physical Journal Applied Physics, Vol. 28, No. 2, 153-157, 2004.
doi:10.1051/epjap:2004189 Google Scholar
5. Rahm, M., D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations," Photonics and Nanostructures-fundamentals and Applications, Vol. 6, No. 1, 87-95, 2008. Google Scholar
6. Roberts, D. A., M. Rahm, J. B. Pendry, and D. R. Smith, "Transformation-optical design of sharp waveguide bends and corners," Applied Physics Letters, Vol. 93, No. 25, 251111, 2008.
doi:10.1063/1.3055604 Google Scholar
7. Kwon, D. H. and D. H. Werner, "Transformation optical designs for wave collimators, flat lenses and right-angle bends," New Journal of Physics, Vol. 10, No. 11, 115023, 2008.
doi:10.1088/1367-2630/10/11/115023 Google Scholar
8. Barati, H., M. H. Fakheri, and A. Abdolali, "Experimental demonstration of metamaterial-assisted antenna beam deflection through folded transformation optics," Journal of Optics, Vol. 20, No. 8, 085101, 2018.
doi:10.1088/2040-8986/aacdc1 Google Scholar
9. Sedeh, H. B., M. H. Fakheri, and A. Abdolali, "Advanced synthesis of meta-antenna radiation pattern enabled by transformation optics," Journal of Optics, Vol. 21, No. 4, 045108, 2019.
doi:10.1088/2040-8986/ab0f8c Google Scholar
10. Chen, H., B. I. Wu, B., Zhang, and J. A. Kong, "Electromagnetic wave interactions with a metamaterial cloak," Physical Review Letters, Vol. 99, No. 6, 063903, 2007.
doi:10.1103/PhysRevLett.99.063903 Google Scholar
11. Ruan, Z., M. Yan, C. W. Neff, and M. Qiu, "Ideal cylindrical cloak: perfect but sensitive to tiny perturbations," Physical Review Letters, Vol. 99, No. 11, 113903, 2007.
doi:10.1103/PhysRevLett.99.113903 Google Scholar
12. Yan, M., Z. Ruan, and M. Qiu, "Cylindrical invisibility cloak with simplified material parameters is inherently visible," Physical Review Letters, Vol. 99, No. 23, 233901, 2007.
doi:10.1103/PhysRevLett.99.233901 Google Scholar
13. Li, J. and J. B. Pendry, "Hiding under the carpet: A new strategy for cloaking," Physical Review Letters, Vol. 101, No. 20, 203901, 2008.
doi:10.1103/PhysRevLett.101.203901 Google Scholar
14. Ergin, T., N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, "Three-dimensional invisibility cloak at optical wavelengths," Science, Vol. 328, No. 5976, 337-339, 2010.
doi:10.1126/science.1186351 Google Scholar
15. Ma, H. F. and T. J. Cui, "Three-dimensional broadband ground-plane cloak made of metamaterials," Nature Communications, Vol. 1, 21, 2010.
doi:10.1038/ncomms1023 Google Scholar
16. Fakheri, M. H., H. Barati, and A. Abdolali, "Carpet cloak design for rough surfaces," Chinese Physics Letters, Vol. 34, No. 8, 084101, 2017.
doi:10.1088/0256-307X/34/8/084101 Google Scholar
17. Xi, S., H. 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 Google Scholar
18. Jiang, W. X., H. F. Ma, Q. Cheng, and T. J. Cui, "A class of line-transformed cloaks with easily realizable constitutive parameters," Journal of Applied Physics, Vol. 107, No. 3, 034911, 2010.
doi:10.1063/1.3294651 Google Scholar
19. Ma, Y., Y. Liu, L. Lan, T. Wu, W. Jiang, C. K. Ong, and S. He, "First experimental demonstration of an isotropic electromagnetic cloak with strict conformal mapping," Scientific Reports, Vol. 3, 2182, 2013.
doi:10.1038/srep02182 Google Scholar
20. Landy, N. and D. R. Smith, "A full-parameter unidirectional metamaterial cloak for microwaves," Nature Materials, Vol. 12, No. 1, 25, 2013.
doi:10.1038/nmat3476 Google Scholar
21. Keivaan, A., M. H. Fakheri, A. Abdolali, and H. Oraizi, "Design of coating materials for cloaking and directivity enhancement of cylindrical antennas using transformation optics," IEEE Antennas and Wireless Propagation Letters, Vol. 16, 3122-3125, 2017.
doi:10.1109/LAWP.2017.2764064 Google Scholar
22. Chen, P. Y. and A. Alu, "Mantle cloaking using thin patterned metasurfaces," Physical Review B, Vol. 84, No. 20, 205110, 2011.
doi:10.1103/PhysRevB.84.205110 Google Scholar
23. Holloway, C. L., E. F. Kuester, J. A. Gordon, J. O'Hara, J. Booth, and D. R. Smith, "An overview of the theory and applications of metasurfaces: The two-dimensional equivalents of metamaterials," IEEE Antennas and Propagation Magazine, Vol. 54, No. 2, 10-35, 2012.
doi:10.1109/MAP.2012.6230714 Google Scholar
24. Rouhi, K., H. Rajabalipanah, and A. Abdolali, "Multi-bit graphene-based bias-encoded metasurfaces for real-time terahertz wavefront shaping: From controllable orbital angular momentum generation toward arbitrary beam tailoring," Carbon, Vol. 149, 125-138, 2019.
doi:10.1016/j.carbon.2019.04.034 Google Scholar
25. Yuan, Y., K. Zhang, X. Ding, B. Ratni, S. N. Burokur, and Q. Wu, "Complementary transmissive ultra-thin meta-deflectors for broadband polarization-independent refractions in the microwave region," Photonics Research, Vol. 7, No. 1, 80-88, 2019.
doi:10.1364/PRJ.7.000080 Google Scholar
26. Zhang, K., Y. Yuan, X. Ding, B. Ratni, S. N. Burokur, and Q. Wu, "High-efficiency metalenses with switchable functionalities in microwave region," ACS Applied Materials and Interfaces, Vol. 11, No. 31, 28423-28430, 2019.
doi:10.1021/acsami.9b07102 Google Scholar
27. Monti, A., J. C. Soric, A. Alù, A. Toscano, and F. Bilotti, "Anisotropic mantle cloaks for TM and TE scattering reduction," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 4, 1775-1788, 2015.
doi:10.1109/TAP.2015.2396532 Google Scholar
28. Qin, F. F., Z. Z. Liu, Q. Zhang, H. Zhang, and J. J. Xiao, "Mantle cloaks based on the frequency selective metasurfaces designed by bayesian optimization," Scientific Reports, Vol. 8, No. 1, 14033, 2018.
doi:10.1038/s41598-018-32167-x Google Scholar
29. Kwon, D. H., "Lossless tensor surface electromagnetic cloaking for large objects in free space," Physical Review B, Vol. 98, No. 12, 125137, 2018.
doi:10.1103/PhysRevB.98.125137 Google Scholar
30. Monti, A., J. Soric, M. Barbuto, D. Ramaccia, S. Vellucci, F. Trotta, and F. Bilotti, "Mantle cloaking for co-site radio-frequency antennas," Applied Physics Letters, Vol. 108, No. 11, 113502, 2016.
doi:10.1063/1.4944042 Google Scholar
31. Moreno, G., A. B. Yakovlev, H. M. Bernety, D. H. Werner, H. Xin, A. Monti, and A. Alu, "Wideband elliptical metasurface cloaks in printed antenna technology," IEEE Transactions on Antennas and Propagation, Vol. 66, No. 7, 3512-3525, 2018.
doi:10.1109/TAP.2018.2829809 Google Scholar
32. Tang, W., C. Argyropoulos, E. Kallos, W. Song, and Y. Hao, "Discrete coordinate transformation for designing all-dielectric flat antennas," IEEE Transactions on Antennas and Propagation, Vol. 58, No. 12, 3795-3804, 2010.
doi:10.1109/TAP.2010.2078475 Google Scholar
33. Tang, W., Y. Hao, and R. Mittra, "Design of a carpet cloak to conceal an antenna located underneath," IEEE Transactions on Antennas and Propagation, Vol. 60, No. 9, 4444-4449, 2012.
doi:10.1109/TAP.2012.2207058 Google Scholar
34. Ma, H., S. Qu, Z. Xu, and J. Wang, "Numerical method for designing approximate cloaks with arbitrary shapes," Physical Review E, Vol. 78, No. 3, 036608, 2008.
doi:10.1103/PhysRevE.78.036608 Google Scholar
35. Hu, J., X. Zhou, and G. Hu, "Design method for electromagnetic cloak with arbitrary shapes based on Laplace's equation," Optics Express, Vol. 17, No. 3, 1308-1320, 2009.
doi:10.1364/OE.17.001308 Google Scholar
36. Jiang, W. X., T. J. Cui, H. F. Ma, X. Y. Zhou, and Q. Cheng, "Cylindrical-to-plane-wave conversion via embedded optical transformation," Applied Physics Letters, Vol. 92, No. 26, 261903, 2008.
doi:10.1063/1.2953447 Google Scholar
37. Wu, Q., Z. H. Jiang, O. Quevedo-Teruel, J. P. Turpin, W. Tang, Y. Hao, and D. H. Werner, "Transformation optics inspired multibeam lens antennas for broadband directive radiation," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 12, 5910-5922, 2013.
doi:10.1109/TAP.2013.2282905 Google Scholar
38. Zhang, K., X. Ding, D.Wo, F. Meng, and Q.Wu, "Experimental validation of ultra-thin metalenses for N-beam emissions based on transformation optics," Applied Physics Letters, Vol. 108, No. 5, 053508, 2016.
doi:10.1063/1.4941545 Google Scholar
39. Ma, H. F. and T. J. Cui, "Three-dimensional broadband and broad-angle transformation-optics lens," Nature Communications, Vol. 1, 124, 2010.
doi:10.1038/ncomms1126 Google Scholar
40. García-Meca, C., A. Martínez, and U. Leonhardt, "Engineering antenna radiation patterns via quasi-conformal mappings," Optics Express, Vol. 19, No. 24, 23743-23750, 2011.
doi:10.1364/OE.19.023743 Google Scholar
41. Thompson, J. F., B. K. Soni, and N. P. Weatherill (eds.), Handbook of Grid Generation, CRC Press, 1998.
doi:10.1201/9781420050349
42. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley and Sons, 2016.
43. Jiang, Z. H., M. D. Gregory, and D. H. Werner, "Broadband high directivity multibeam emission through transformation optics-enabled metamaterial lenses," IEEE Transactions on Antennas and Propagation, Vol. 60, No. 11, 5063-5074, 2012.
doi:10.1109/TAP.2012.2207685 Google Scholar
44. Jiang, Z. H., J. A. Bossard, X. Wang, and D. H. Werner, "Synthesizing metamaterials with angularly independent effective medium properties based on an anisotropic parameter retrieval technique coupled with a genetic algorithm," Journal of Applied Physics, Vol. 109, No. 1, 013515, 2011.
doi:10.1063/1.3530849 Google Scholar