Improvement of cylindrical cloaking with the SHS lining

Optics Express

Volumn 15, Issue 20, 2007, Pages 12717-12734

  Greenleaf, A ^a   Kurylev, Y ^b   Lassas, M ^c   Uhlmann, G ^d  

^a UNIVERSITY OF ROCHESTER   (United States)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c AALTO UNIVERSITY   (Finland)

^d UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE SCATTERING; MAGNETIC PERMEABILITY; NUMERICAL ANALYSIS; PERMITTIVITY;

CYLINDRICAL CLOAKING; IDEAL PERMITTIVITY; SCATTERED WAVE; SHS (SOFT-AND-HARD SURFACE) LINING;

OPTICAL SYSTEMS;

EID: 35148841436     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.012717     Document Type: Article

References (32)

1. A. Greenleaf, M. Lassas and G. Uhlmann, "Anisotropic conductivities that cannot detected in EIT," Physiological Measurement (special, issue on Impedance Tomography), 24, 413-420 (2003).
2. A. Greenleaf, M. Lassas and G. Uhlmann, "On nonuniqueness for Calderón's inverse problem," Math. Res. Lett. 10, 685-693 (2003).
3. U. Leonhardt, "Optical conformai mapping," Science 312, 1777-1780 (23 June, 2006).
4. J.B. Pendry, D. Schurig and D.R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (23 June, 2006).
5. J. B. Pendry, D. Schurig, D. R. Smith, "Calculation of material properties and ray tracing in transformation, media," Opt. Express 14, 9794 (2006).
6. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Full-wave invisibility of active devices at all. frequencies," ArXiv.orgmath.AP/ 0611185v1,2,3 (2006); Comm. Math. Phys. 275, 749-789 (2007).
7. S. Cummer, B.-L Popa, D. Schurig, D. Smith and J. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E 2006 Sep;74(3 Pt 2):036621.
8. D. Schurig, J. Mock, B. Justice, S. Cummer, J. Pendry, A. Starr and D. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314, 977-980 (10 Nov. 2006).
9. W. Cai, U. Chettiar, A. Kildshev and V. Shalaev, "Optical cloaking with metamaterials," Nature Photonics, 1, 224-227 (April, 2007).
10. H. Chen and C. T. Chan, "Transformation media that rotate electromagnetic fields," Ar.Xiv.org:physics/0702050v1 (2007).
11. F. Zolla, S. Guenneau, A. Nicolet and J. Pendry, "Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect," Opt. Lett. 32, 1069-1071 (2007).
12. G. Milton, M. Briane and J. Willis, "On cloaking for elasticity and physical equations with a transformation. invariant form," New J. Phys. 8, 248 (2006).
13. S. Cummer and D. Schurig, "One path to acoustic cloaking," New Jour. Physics 9, 45 (2007).
14. G. Milton, "New metamaterials with macroscopic behavior outside that of continuum elastodynamics," Ar.Xiv.org:070.2202v1 (2007).
15. S. Schelkunoff and H. Friis, Antennas: Theory and Practice, (Chapman and Hall, New York, 1952, 584-585).
16. A. Moroz, "Some negative refractive index material headlines...," http://www.wave-scattering.com/negative.html.
17. R. Weder, "A rigorous time-domain analysis of full-wave electromagnetic cloaking (Invisibility)," ArXiv.org:07040248v1,2,3 (2007).
18. A. Greenleaf, Y. Kury lev, M. Lassas and G. Uhlmann, " Electromagnetic wormholes and virtual magnetic monopoles from, metamaterials," ArXiv.org:math-ph/0703059; Phys. Rev. Lett., to appear.
19. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Electromagnetic wormholes via handlebody constructions," ArX.iv.org:0704.0914v1, submitted (2007).
20. M. Yan, Z. Ruan, and M., Qiu, "Cylindrical invisibility cloak with simplified material parameters is inherently visible," ArX.iv.org:0706. 0655v1 (2007).
21. Z. Ruan, M. Yan, C. Neff and M. Qiu, "Confirmation of cylindrical perfect invisibility cloak using Fourier-Bessel analysis," Ar.Xiv.org:0704.1183v1 (2007).
22. P.-S. Kildal, "Definition of artificially soft and hard surfaces for electromagnetic waves," Electron. Lett. 24, 168-170 (1988).
23. P.-S. Kildal, "Artificially soft-and-hard surfaces in electromagnetics," IEEE Trans Antennas Propag., 10, 15371544 (1990).
24. I. Hänninen, I. Lindell, and A. Sihvola, "Realization of generalized Soft-and-Hard Boundary," Progr. In Electromag. Res., PIER 64, 317-333 (2006).
25. I. M. Gel'fand and G. E. Shilov, Generalized Functions, I-V (Academic Press, New York, 1964).
26. A. Bossavit, A. Computational electromagnetism. Variational formulations, complementarity, edge elements, Academic Press Inc., San Diego, CA, 1998.
27. I. Lindell, Differential Forms in Electromagnetics, Wiley-IEEE Press, 2004.
28. C. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory. Second edition. Applied Math. Sciences, 93. (Springer-Verlag, Berlin, 1998).
29. M. Abramowitz and I. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical, tables (U.S. Gov. Printing Office, Washington, D.C., 1964).
30. G. Milton, The Theory of Composites (Cambridge U. Press, 2001).
31. D. Smith and J. Pendry, "Homogenization of metamaterials by field averaging," J. Opt. Soc. Am. B 23, 391-403 (2006).
32. R. Kohn, H. Shen, M. Vogelius and M. Weinstein, "Cloaking via change of variables in electric impedance tomography," preprint, http://math.nyu.edu/faculty/kohn/papers/KSVW-cloaking.pdf (2007).