Invisibility cloaks for irregular particles using coordinate transformations

doi:10.1364/OE.16.006134

Invisibility cloaks for irregular particles using coordinate transformations

Yu You, George W. Kattawar, Peng-Wang Zhai, and Ping Yang »View Author Affiliations

Optics Express, Vol. 16, Issue 9, pp. 6134-6145 (2008)
http://dx.doi.org/10.1364/OE.16.006134

View Full Text Article

Enhanced HTML Acrobat PDF (1877 KB)

Journal Search
Article Lookup

Article Tools

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (23)
Cited By
Figures (9)
Metrics
Related Content

Abstract

Invisibility cloaks for ellipsoids, rounded cuboids and rounded cylinders have been studied on the basis of the coordinate transformation approach. The resultant material property tensors for irregular cloaks are more complicated in comparison with those for the spherical invisibility cloak. A generalized Discrete Dipole Approximation (DDA) formalism has been used to simulate the scattered field distribution in the vicinity of the aforementioned irregular cloaks illuminated by an incident plane wave. Simulated scattering efficiencies are on the order of 10^-5, and the simulated electric-field distribution outside of a cloak is the same as that of the incident radiation.

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(290.0290) Scattering : Scattering
(160.3918) Materials : Metamaterials
(280.1350) Remote sensing and sensors : Backscattering
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:
Metamaterials

History
Original Manuscript: February 20, 2008
Revised Manuscript: April 4, 2008
Manuscript Accepted: April 4, 2008
Published: April 16, 2008

Citation
Yu You, George W. Kattawar, Peng-Wang Zhai, and Ping Yang, "Invisibility cloaks for irregular particles using coordinate transformations," Opt. Express 16, 6134-6145 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-9-6134

Sort: Author | Year | Journal | Reset

References

A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwell??s equations," J. Mod. Opt. 43, 773-793 (1996). [CrossRef]
J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780 (2006). [CrossRef] [PubMed]
U. Leonhardt and T. G. Philbin, "General relativity in electrical engineering," New J. Phys. 8, 247 (2006). [CrossRef]
D. Schurig, J. B. Pendry, and D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express 14, 9794-9804 (2006). [CrossRef] [PubMed]
U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
U. Leonhardt, "Notes on conformal invisibility devices," New J. Phys. 8, 118 (2006). [CrossRef]
D. Schurig, J. B. Pendry, and D. R. Smith, "Transformation-designed optical elements," Opt. Express 15, 14772-14782 (2007). [CrossRef] [PubMed]
S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E 74, 036621 (2006). [CrossRef]
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314, 977 (2006). [CrossRef] [PubMed]
H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, "Electromagnetic wave interaction with a metamaterial cloak," Phys. Rev. Lett. 99, 063903 (2007). [CrossRef] [PubMed]
B. Zhang, H. Chen, B.-I. Wu, Y. Luo, L. Ran, and J. A. Kong, "Response of a cylindrical invisibility cloak to electromagnetic waves," Phys. Rev. B 76, 121101 (2007). [CrossRef]
M. Rahm, 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," Photon. Nanostruct. Fundam. Appl. 6, 87-95 (2008). [CrossRef]
H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, "Material parameter equation for elliptical cylindrical cloaks," Phys. Rev. A 77, 013825 (2008). [CrossRef]
D.-H. Kwon and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett. 92, 013505 (2008). [CrossRef]
Y. You, G. W. Kattawar, P.-W. Zhai, and P. Yang, "Zero-backscatter cloak for aspherical particles using a generalized DDA formalism," Opt. Express 16, 2068-2079 (2008). [CrossRef] [PubMed]
W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shavlaev, "Optical cloaking with metamaterials," Nat. Photon. 1, 224-227 (2007). [CrossRef]
B. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, "Extraordinary surface voltage effect in the invisibility cloak with an active device inside," Phys. Rev. Lett. 100, 063904 (2008). [CrossRef] [PubMed]
E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973). [CrossRef]
B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988). [CrossRef]
B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994). [CrossRef]
J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1975).
I. D. Faux and M. J. Pratt, Computational geometry for design and manufacture (Wiley, Chichester 1979).
T. Wriedt, "Using the T-Matrix method for light scattering computations by non-axisymmetric particles: superellipsoids and realistically shapes particles," Part. Part. Syst. Charact. 19, 256-268 (2002). [CrossRef]

Appl. Phys. Lett.

D.-H. Kwon and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett. 92, 013505 (2008). [CrossRef]

Astrophys. J.

E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973). [CrossRef]
B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988). [CrossRef]

J. Mod. Opt.

A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwell??s equations," J. Mod. Opt. 43, 773-793 (1996). [CrossRef]

J. Opt. Soc. Am. A

B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994). [CrossRef]

Nat. Photon.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shavlaev, "Optical cloaking with metamaterials," Nat. Photon. 1, 224-227 (2007). [CrossRef]

New J. Phys.

U. Leonhardt and T. G. Philbin, "General relativity in electrical engineering," New J. Phys. 8, 247 (2006). [CrossRef]
U. Leonhardt, "Notes on conformal invisibility devices," New J. Phys. 8, 118 (2006). [CrossRef]

Opt. Express

Part. Part. Syst. Charact.

T. Wriedt, "Using the T-Matrix method for light scattering computations by non-axisymmetric particles: superellipsoids and realistically shapes particles," Part. Part. Syst. Charact. 19, 256-268 (2002). [CrossRef]

Photon. Nanostruct. Fundam. Appl.

M. Rahm, 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," Photon. Nanostruct. Fundam. Appl. 6, 87-95 (2008). [CrossRef]

Phys. Rev. A

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, "Material parameter equation for elliptical cylindrical cloaks," Phys. Rev. A 77, 013825 (2008). [CrossRef]

Phys. Rev. B

B. Zhang, H. Chen, B.-I. Wu, Y. Luo, L. Ran, and J. A. Kong, "Response of a cylindrical invisibility cloak to electromagnetic waves," Phys. Rev. B 76, 121101 (2007). [CrossRef]

Phys. Rev. E

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E 74, 036621 (2006). [CrossRef]

Phys. Rev. Lett.

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, "Electromagnetic wave interaction with a metamaterial cloak," Phys. Rev. Lett. 99, 063903 (2007). [CrossRef] [PubMed]
B. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, "Extraordinary surface voltage effect in the invisibility cloak with an active device inside," Phys. Rev. Lett. 100, 063904 (2008). [CrossRef] [PubMed]

Science

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314, 977 (2006). [CrossRef] [PubMed]
U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780 (2006). [CrossRef] [PubMed]

Other

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1975).
I. D. Faux and M. J. Pratt, Computational geometry for design and manufacture (Wiley, Chichester 1979).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Click here to see a list of articles that cite this paper