Abstract

Arbitrary connector for waveguides of different cross sections is proposed and designed theoretically based on the embedded optical transformation theory. First, the general expressions of constitutive tensors of the metamaterials filled in the connector are derived. Second, there are some full-wave simulations that validate the constitutive tensors derived. The results show that the connector with metamaterials inclusions with designed constitutive parameters can fulfill the reflectionless transmission of electromagnetic waves between waveguides of different cross sections. Finally, connectors of several forms are investigated parametrically, and two sets of constitutive tensors that can be physically achieved by existing metamaterials are gotten. It is believed that this study provides a feasible way to fulfill the efficient transmission of electromagnetic waves between waveguides of different cross sections.

© 2010 OSA

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2010 (4)

2009 (12)

Z. L. Mei and T. J. Cui, “Arbitrary bending of electromagnetic waves using isotropic materials,” J. Appl. Phys. 105(10), 104913 (2009).
[CrossRef]

D. H. Kwon and D. H. Werner, “Flat focusing lens designs having minimized reflection based on coordinate transformation techniques,” Opt. Express 17(10), 7807–7817 (2009).
[CrossRef] [PubMed]

T. R. Zhai, Y. Zhou, J. Zhou, and D. H. Liu, “Polarization controller based on embedded optical transformation,” Opt. Express 17(20), 17206–17213 (2009).
[CrossRef] [PubMed]

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

B. I. Popa and S. A. Cummer, “Cloaking with optimized homogeneous anisotropic layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

B. Ivsic, Z. Sipus, and S. Hrabar, “Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization,” IEEE Trans. Antenn. Propag. 57(5), 1521–1527 (2009).
[CrossRef]

F. G. Vasquez, G. W. Milton, and D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” Phys. Rev. Lett. 103(7), 073901 (2009).
[CrossRef] [PubMed]

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

2008 (6)

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (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]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (2008).
[CrossRef]

C. Li, K. Yao, and F. Li, “Two-dimensional electromagnetic cloaks with non-conformal inner and outer boundaries,” Opt. Express 16(23), 19366–19374 (2008).
[CrossRef]

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

2007 (2)

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

2006 (2)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Burokur, S. N.

Chen, H. S.

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

Chen, H. Y.

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

Chen, L. X.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

Cheng, Q.

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

Chin, J. Y.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

Cui, T. J.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

Z. L. Mei and T. J. Cui, “Arbitrary bending of electromagnetic waves using isotropic materials,” J. Appl. Phys. 105(10), 104913 (2009).
[CrossRef]

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

Cummer, S. A.

B. I. Popa and S. A. Cummer, “Cloaking with optimized homogeneous anisotropic layers,” Phys. Rev. A 79(2), 023806 (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]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

de Lustrac, A.

Ding, W. Q.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

Feng, Y. J.

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Gu, Y. W.

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

Hao, Y.

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Hrabar, S.

B. Ivsic, Z. Sipus, and S. Hrabar, “Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization,” IEEE Trans. Antenn. Propag. 57(5), 1521–1527 (2009).
[CrossRef]

Hu, L.

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

Ivsic, B.

B. Ivsic, Z. Sipus, and S. Hrabar, “Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization,” IEEE Trans. Antenn. Propag. 57(5), 1521–1527 (2009).
[CrossRef]

Ji, C.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

Jiang, C.

Jiang, T.

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Jiang, W. X.

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

Justice, B. J.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Kong, J. A.

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Kwon, D. H.

Li, C.

Li, F.

Li, J. S.

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

Li, L. W.

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

Liu, D. H.

Liu, R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

Liu, Y.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

Luo, X. D.

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

Luo, Y.

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

Ma, H.

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

Ma, H. R.

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

Ma, Y. G.

Mei, Z. L.

Z. L. Mei and T. J. Cui, “Arbitrary bending of electromagnetic waves using isotropic materials,” J. Appl. Phys. 105(10), 104913 (2009).
[CrossRef]

Meng, F. Y.

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

Milton, G. W.

F. G. Vasquez, G. W. Milton, and D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” Phys. Rev. Lett. 103(7), 073901 (2009).
[CrossRef] [PubMed]

Mock, J. J.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Ong, C. K.

Onofrei, D.

F. G. Vasquez, G. W. Milton, and D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” Phys. Rev. Lett. 103(7), 073901 (2009).
[CrossRef] [PubMed]

Pendry, J. B.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (2008).
[CrossRef]

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[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]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Popa, B. I.

B. I. Popa and S. A. Cummer, “Cloaking with optimized homogeneous anisotropic layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

Qiu, C. W.

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

Qiu, M.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

Qu, S. B.

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

Rahm, M.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (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]

Ran, L. X.

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

Roberts, D. A.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (2008).
[CrossRef]

Schurig, D.

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, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Sipus, Z.

B. Ivsic, Z. Sipus, and S. Hrabar, “Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization,” IEEE Trans. Antenn. Propag. 57(5), 1521–1527 (2009).
[CrossRef]

Smith, D. R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (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, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Starr, A. F.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Sun, X. D.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

Tang, D. H.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

Tichit, P. H.

Vasquez, F. G.

F. G. Vasquez, G. W. Milton, and D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” Phys. Rev. Lett. 103(7), 073901 (2009).
[CrossRef] [PubMed]

Wang, J. F.

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

Wang, N.

Werner, D. H.

Wu, B. I.

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Wu, Q.

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

Xu, X. F.

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Xu, Z.

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

Yan, M.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

Yan, W.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

Yang, T.

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

Yang, X. M.

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

Yao, K.

Zang, X. F.

Zhai, T. R.

Zhang, B. L.

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Zhang, K.

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

Zhao, J. M.

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Zhou, J.

Zhou, X. Y.

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

Zhou, Y.

Appl. Phys. Lett. (6)

X. F. Xu, Y. J. Feng, Y. Hao, J. M. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

X. D. Luo, T. Yang, Y. W. Gu, H. Y. Chen, and H. R. Ma, “Conceal an entrance by means of superscatterer,” Appl. Phys. Lett. 94(22), 223513 (2009).
[CrossRef]

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

H. Ma, S. B. Qu, Z. Xu, and J. F. Wang, “The open cloak,” Appl. Phys. Lett. 94(10), 103501 (2009).
[CrossRef]

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, “Arbitrary waveguide bends using isotropic and homogeneous metamaterial,” Appl. Phys. Lett. 96(4), 041102 (2010).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93(25), 251111 (2008).
[CrossRef]

IEEE Trans. Antenn. Propag. (1)

B. Ivsic, Z. Sipus, and S. Hrabar, “Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization,” IEEE Trans. Antenn. Propag. 57(5), 1521–1527 (2009).
[CrossRef]

J. Appl. Phys. (1)

Z. L. Mei and T. J. Cui, “Arbitrary bending of electromagnetic waves using isotropic materials,” J. Appl. Phys. 105(10), 104913 (2009).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Phys. D Appl. Phys. (1)

Q. Wu, K. Zhang, F. Y. Meng, and L. W. Li, “Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak,” J. Phys. D Appl. Phys. 42(3), 035408 (2009).
[CrossRef]

Opt. Express (5)

Phys. Rev. A (1)

B. I. Popa and S. A. Cummer, “Cloaking with optimized homogeneous anisotropic layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

Phys. Rev. B (1)

B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves,” Phys. Rev. B 76(12), 121101 (2007).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

W. X. Jiang, T. J. Cui, X. Y. Zhou, X. M. Yang, and Q. Cheng, “Arbitrary bending of electromagnetic waves using realizable inhomogeneous and anisotropic materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(6), 066607 (2008).
[CrossRef]

C. W. Qiu, L. Hu, X. F. Xu, and Y. J. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 047602 (2009).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

F. G. Vasquez, G. W. Milton, and D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” Phys. Rev. Lett. 103(7), 073901 (2009).
[CrossRef] [PubMed]

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[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]

Science (3)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323(5912), 366–369 (2009).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Sketch of the waveguide connector. (a) Sketch of the connector, (b) Connector in Cartesian coordinate.

Fig. 2
Fig. 2

Electric fields distributions of different waveguide connectors (a) symmetrical connector, (b) connector filled only with air, (c) sharper symmetrical connector, (d) symmetrical curve connector, (e) unsymmetrical connector I, (f) unsymmetrical connector II, (g) connector for sloping transmission.

Fig. 3
Fig. 3

Numerical Values of the constitutive tensors, (a)-(c) Symmetrical connector, (d)-(f) Sharper symmetrical connector, (g)-(i) Symmetrical curve connector, (j)-(l) Unsymmetrical connector I, (m)-(o) Unsymmetrical connector II

Equations (21)

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y ' = y 2 ( x ) y 1 ( x ) 2 a y + y 2 ( x ) + y 1 ( x ) 2
x ' = x
z ' = z
A = [ 1 0 0 y 2 a d ( y 2 ( x ) y 1 ( x ) ) d x + 1 2 d ( y 2 ( x ) + y 1 ( x ) ) d x y 2 ( x ) y 1 ( x ) 2 a 0 0 0 1 ]
ε ¯ ¯ ' = A A T det ( A ) ε ¯ ¯
μ ¯ ¯ ' = A A T det ( A ) μ ¯ ¯
ε ¯ ¯ = I ¯ ¯ ε 0
μ ¯ ¯ = I ¯ ¯ μ 0
ε x x = μ x x = ε z z = μ z z = 2 a y 2 ( x ) y 1 ( x )
ε x y = ε y x = μ x y = μ y x = y d [ y 2 ( x ) y 1 ( x ) ] d x + a d [ y 2 ( x ) + y 1 ( x ) ] d x y 2 ( x ) y 1 ( x )
ε y y = μ y y = { y d [ y 2 ( x ) y 1 ( x ) ] d x + a d [ y 2 ( x ) + y 1 ( x ) ] d x } 2 2 a [ y 2 ( x ) y 1 ( x ) ] + y 2 ( x ) y 1 ( x ) 2 a
ε 11 = μ 11 = ε x x + ε y y + ( ε x x ε y y ) 2 + 4 ε x y 2
ε 11 = μ 11 = ε x x + ε y y ( ε x x ε y y ) 2 + 4 ε x y 2
ε 33 = μ 33 = ε z z
x = x '
y = 2 a y ' a [ y 2 ( x ' ) + y 1 ( x ' ) ] y 2 ( x ' ) y 1 ( x ' )
z = z '
ε x y = ε y x = μ x y = μ y x = a y ' y 2 2 ( x ' ) d [ y 2 ( x ' ) ] d x '
ε x x = μ x x = ε z z = μ z z = 1
ε x y = μ x y = k 0
ε y y = μ y y = k 0 2 + 1

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