H. Chen, C. T. Chan, and P. Sheng, “Transformation Optics and Metamaterials,” Nat. Mater. 9(5), 387–396 (2010).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

L. Bergamin, “Electromagnetic Fields and Boundary Conditions at the Interface of Generalized Transformation Media,” Phys. Rev. A 80(6), 063835 (2009).

[Crossref]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

H. Y. Chen and C. T. Chan, “Transformation Media that Rotate Electromagnetic Fields,” Appl. Phys. Lett. 90(24), 241105 (2007).

[Crossref]

U. Leonhardt, “Optical Conformal Mapping,” Science 312(5781), 1777–1780 (2006).

[Crossref]
[PubMed]

U. Leonhardt and T. G. Philbin, “General Relativity in Electrical Engineering,” N. J. Phys. 8(10), 247 (2006).

[Crossref]

Z. Jacob, L. V. Alekseyev, and E. Narimanov, “Optical Hyperlens: Far-field Imaging Beyond the Diffraction Limit,” Opt. Express 14(18), 8247–8256 (2006).

[Crossref]
[PubMed]

J. B. Pendry and S. A. Ramakrishna, “Focussing Light Using Negative Refraction,” J. Phys. Condens. Matter 15(37), 6345–6364 (2003).

[Crossref]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).

[Crossref]
[PubMed]

L. Bergamin, “Electromagnetic Fields and Boundary Conditions at the Interface of Generalized Transformation Media,” Phys. Rev. A 80(6), 063835 (2009).

[Crossref]

H. Chen, C. T. Chan, and P. Sheng, “Transformation Optics and Metamaterials,” Nat. Mater. 9(5), 387–396 (2010).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

H. Y. Chen and C. T. Chan, “Transformation Media that Rotate Electromagnetic Fields,” Appl. Phys. Lett. 90(24), 241105 (2007).

[Crossref]

H. Chen, C. T. Chan, and P. Sheng, “Transformation Optics and Metamaterials,” Nat. Mater. 9(5), 387–396 (2010).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

H. Y. Chen and C. T. Chan, “Transformation Media that Rotate Electromagnetic Fields,” Appl. Phys. Lett. 90(24), 241105 (2007).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

U. Leonhardt, “Optical Conformal Mapping,” Science 312(5781), 1777–1780 (2006).

[Crossref]
[PubMed]

U. Leonhardt and T. G. Philbin, “General Relativity in Electrical Engineering,” N. J. Phys. 8(10), 247 (2006).

[Crossref]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

J. B. Pendry and S. A. Ramakrishna, “Focussing Light Using Negative Refraction,” J. Phys. Condens. Matter 15(37), 6345–6364 (2003).

[Crossref]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).

[Crossref]
[PubMed]

U. Leonhardt and T. G. Philbin, “General Relativity in Electrical Engineering,” N. J. Phys. 8(10), 247 (2006).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

J. B. Pendry and S. A. Ramakrishna, “Focussing Light Using Negative Refraction,” J. Phys. Condens. Matter 15(37), 6345–6364 (2003).

[Crossref]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

H. Chen, C. T. Chan, and P. Sheng, “Transformation Optics and Metamaterials,” Nat. Mater. 9(5), 387–396 (2010).

[Crossref]
[PubMed]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

H. Y. Chen and C. T. Chan, “Transformation Media that Rotate Electromagnetic Fields,” Appl. Phys. Lett. 90(24), 241105 (2007).

[Crossref]

J. B. Pendry and S. A. Ramakrishna, “Focussing Light Using Negative Refraction,” J. Phys. Condens. Matter 15(37), 6345–6364 (2003).

[Crossref]

U. Leonhardt and T. G. Philbin, “General Relativity in Electrical Engineering,” N. J. Phys. 8(10), 247 (2006).

[Crossref]

H. Chen, C. T. Chan, and P. Sheng, “Transformation Optics and Metamaterials,” Nat. Mater. 9(5), 387–396 (2010).

[Crossref]
[PubMed]

M. Rahm, D. Schurig, D. A. Robertsa, S. A. Cummera, D. R. Smith, and J. B. Pendry, “Design of Electromagnetic Cloaks and Concentrators Using Form-invariant Coordinate Transformations of Maxwell’s Equations,” Phot. Nano.: Fund. Appl. 6(1), 87–95 (2008).

[Crossref]

L. Bergamin, “Electromagnetic Fields and Boundary Conditions at the Interface of Generalized Transformation Media,” Phys. Rev. A 80(6), 063835 (2009).

[Crossref]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).

[Crossref]
[PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).

[Crossref]
[PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell,” Phys. Rev. Lett. 102(9), 093901 (2009).

[Crossref]
[PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).

[Crossref]
[PubMed]

U. Leonhardt, “Optical Conformal Mapping,” Science 312(5781), 1777–1780 (2006).

[Crossref]
[PubMed]

L. V. Ahlfors, Complex Analysis, (McGraw-Hill, New York, 1979), Chap. 3&8.

In this paper, we consider only those sources emitting light rays symmetrically, i.e., for any ray emitted from the source, we can always find another emitted ray going to the opposite direction.

COMSOL Multi-physics 3.5, developed by COMSOL ©, network license (2008).

All lengths are rescaled by the working wavelengths taken in the simulations.

Here the shape of device is shown only for identifying the position.

The directional source is formed by an array of 6 × 6 line sources (with lattice constant 0.5.). The pumping fields of these sources are chosen as (+1−1+1−1+1−1+1−2+2−2+2−1+1−2+4−4+2−1+1−2+4−4+2−1+1−2+2−2+2−1+1−1+1−1+1−1)

The point source consists of three mutually orthogonal antennae, with pumping fields carefully adjusted to ensure that the resultant radiation pattern in free space exhibits a spherical symmetry.

G. Q. Lin, Y. M. Li, and A. S. C. Chan, Principles and Applications of Asymmetric Synthesis, (John Wiley & Sons, New York, 2001), Chap. 1.

U. J. Meierhenrich, Amino Acids and the Asymmetry of Life, (Springer, Berlin, 2008), Chap. 1.