Abstract

We investigate the basic features of wave propagation in bianisotropic metamaterials characterized by asymmetric magnetoelectric tensors with zero diagonal elements. The wave propagation is described by a biquadratic dispersion relation with two elliptically polarized eigenwaves. In particular, the bianisotropic media may possess a hybrid character of the elliptic and hyperbolic dispersions. For a wave incident from vacuum onto a bianisotropic medium, there exist an ordinary and an inversion critical angle, leading to angular selective transmission. A standard and a complementary type of angular selective transmissions are illustrated with the incidence of Gaussian beams based on Fourier integral formulation.

© 2014 Optical Society of America

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    [Crossref]
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    [Crossref]
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2013 (4)

R.-L. Chern and P.-H. Chang, “Wave propagation in pseudochiral media: generalized Fresnel equations,” J. Opt. Soc. Am. B 30, 552–558 (2013).
[Crossref]

R.-L. Chern and P.-H. Chang, “Negative refraction and backward wave in pseudochiral mediums: illustrations of Gaussian beams,” Opt. Express 21, 2657–2666 (2013).
[Crossref] [PubMed]

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

A. Ciattoni and E. Spinozzi, “Optical resonances and angular filtering functionality of subwavelength hyperbolic etalons,” Optik 124, 3623–3626 (2013).
[Crossref]

2012 (1)

2010 (2)

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

2009 (3)

2007 (4)

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

S. A. Tretyakov, C. R. Simovski, and M. Hudlička, “Bianisotropic route to the realization and matching of backward-wave metamaterial slabs,” Phys. Rev. B 75, 153104 (2007).
[Crossref]

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

2006 (2)

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

X.-L. Xu, B.-G. Quan, C.-Z. Gu, and L. Wang, “Bianisotropic response of microfabricated metamaterials in the terahertz region,” J. Opt. Soc. Am. B 23, 1174–1180 (2006).
[Crossref]

2005 (2)

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

T. M. Grzegorczyk, Z. M. Thomas, and J. A. Kong, “Inversion of critical angle and Brewster angle in anisotropic left-handed metamaterials,” Appl. Phys. Lett 86, 251909 (2005).
[Crossref]

2004 (1)

2002 (2)

R. Marqués, F. Medina, and R. Rafii-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

I. V. Semchenko and S. A. Khakhomov, “Artificial uniaxial bianisotropic media at oblique incidence of electromagnetic waves,” Electromagnetics 22, 71–84 (2002).
[Crossref]

2000 (1)

1998 (2)

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

1995 (1)

D. Kinowski, M. Guglielmi, and A. Roederer, “Angular bandpass filters: an alternative viewpoint gives improved design flexibility,” IEEE Trans. Antennas Propag. 43, 390–395 (1995).
[Crossref]

1994 (1)

S. Tretyakov and A. Sochava, “Novel uniaxial bianisotropic materials: reflection and transmission in planar structures,” Prog. Electomag. Res. 9, 157–179 (1994).

1993 (1)

I. Lindell and A. Viitanen, “Plane wave propagation in uniaxial bianisotropic medium,” Electron. Lett. 29, 150–152 (1993).
[Crossref]

1992 (1)

M. M. I. Saadoun and N. Engheta, “A reciprocal phase shifter using novel pseudochiral or Ω medium,” Microw. Opt. Technol. Lett. 5, 184–188 (1992).
[Crossref]

1991 (2)

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Reflection and transmission for planar structures of bianisotropic media,” Electromagnetics 11, 193–208 (1991).
[Crossref]

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Dispersion relation for bianisotropic materials and its symmetry properties,” IEEE Trans. Antennas Propag. 39, 83–90 (1991).
[Crossref]

1972 (1)

J. A. Kong, “Theorems of bianisotropic media,” Proc. IEEE 60, 1036–1046 (1972).
[Crossref]

1971 (1)

Alekseyev, L. V.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Alù, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

Araque, J.

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

Aydin, K.

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

Baena, J.

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

Barnakov, Y. A.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Brueck, S. R.

Brueck, S. R. J.

Chang, P.-H.

Chen, H.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

Chen, X.

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

Chen, Y.

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

Cheng, X.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

Chern, R.-L.

Ciattoni, A.

A. Ciattoni and E. Spinozzi, “Optical resonances and angular filtering functionality of subwavelength hyperbolic etalons,” Optik 124, 3623–3626 (2013).
[Crossref]

C. Rizza, A. Ciattoni, E. Spinozzi, and L. Columbo, “Terahertz active spatial filtering through optically tunable hyperbolic metamaterials,” Opt. Lett. 37, 3345–3347 (2012).
[Crossref]

Columbo, L.

Dani, K. M.

Engheta, N.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

M. M. I. Saadoun and N. Engheta, “A reciprocal phase shifter using novel pseudochiral or Ω medium,” Microw. Opt. Technol. Lett. 5, 184–188 (1992).
[Crossref]

Fedosenko, E. A.

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

Feng, Y.

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

Graglia, R. D.

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Dispersion relation for bianisotropic materials and its symmetry properties,” IEEE Trans. Antennas Propag. 39, 83–90 (1991).
[Crossref]

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Reflection and transmission for planar structures of bianisotropic media,” Electromagnetics 11, 193–208 (1991).
[Crossref]

Grzegorczyk, T. M.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

T. M. Grzegorczyk, Z. M. Thomas, and J. A. Kong, “Inversion of critical angle and Brewster angle in anisotropic left-handed metamaterials,” Appl. Phys. Lett 86, 251909 (2005).
[Crossref]

Gu, C.-Z.

Guglielmi, M.

D. Kinowski, M. Guglielmi, and A. Roederer, “Angular bandpass filters: an alternative viewpoint gives improved design flexibility,” IEEE Trans. Antennas Propag. 43, 390–395 (1995).
[Crossref]

Han, P.

Horowitz, B. R.

Hudlicka, M.

S. A. Tretyakov, C. R. Simovski, and M. Hudlička, “Bianisotropic route to the realization and matching of backward-wave metamaterial slabs,” Phys. Rev. B 75, 153104 (2007).
[Crossref]

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

Jiang, T.

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

Khakhomov, S. A.

I. V. Semchenko and S. A. Khakhomov, “Artificial uniaxial bianisotropic media at oblique incidence of electromagnetic waves,” Electromagnetics 22, 71–84 (2002).
[Crossref]

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

Kinowski, D.

D. Kinowski, M. Guglielmi, and A. Roederer, “Angular bandpass filters: an alternative viewpoint gives improved design flexibility,” IEEE Trans. Antennas Propag. 43, 390–395 (1995).
[Crossref]

Kong, J. A.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

T. M. Grzegorczyk, Z. M. Thomas, and J. A. Kong, “Inversion of critical angle and Brewster angle in anisotropic left-handed metamaterials,” Appl. Phys. Lett 86, 251909 (2005).
[Crossref]

J. A. Kong, “Theorems of bianisotropic media,” Proc. IEEE 60, 1036–1046 (1972).
[Crossref]

Kriegler, C. E.

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

Ku, Z.

Lakhtakia, A.

T. G. Mackay and A. Lakhtakia, “Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials,” Phys. Rev. B 79, 235121 (2009).
[Crossref]

W. S. Weiglhofer and A. Lakhtakia, Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003).
[Crossref]

Li, H.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Li, L.

Li, Z.

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

Liang, G.

Lindell, I.

I. Lindell and A. Viitanen, “Plane wave propagation in uniaxial bianisotropic medium,” Electron. Lett. 29, 150–152 (1993).
[Crossref]

Linden, S.

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

Losada, V.

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

Mackay, T. G.

T. G. Mackay and A. Lakhtakia, “Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials,” Phys. Rev. B 79, 235121 (2009).
[Crossref]

Marqués, R.

R. Marqués, F. Medina, and R. Rafii-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Medina, F.

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

R. Marqués, F. Medina, and R. Rafii-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Narimanov, E. E.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Noginov, M. A.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Ortiz, J.

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

Ozbay, E.

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

Quan, B.-G.

Rafii-El-Idrissi, R.

R. Marqués, F. Medina, and R. Rafii-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Ran, L.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

Rill, M. S.

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

Rizza, C.

Roederer, A.

D. Kinowski, M. Guglielmi, and A. Roederer, “Angular bandpass filters: an alternative viewpoint gives improved design flexibility,” IEEE Trans. Antennas Propag. 43, 390–395 (1995).
[Crossref]

Saadoun, M. M. I.

M. M. I. Saadoun and N. Engheta, “A reciprocal phase shifter using novel pseudochiral or Ω medium,” Microw. Opt. Technol. Lett. 5, 184–188 (1992).
[Crossref]

Salandrino, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

Semchenko, I.

A. Serdyukov, I. Semchenko, S. Tretyakov, and A. Sihvola, Electromagnetics of Bi-anisotropic Materials: Theory and Applications (Gordon and Breach, 2001).

Semchenko, I. V.

I. V. Semchenko and S. A. Khakhomov, “Artificial uniaxial bianisotropic media at oblique incidence of electromagnetic waves,” Electromagnetics 22, 71–84 (2002).
[Crossref]

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

Serdyukov, A.

A. Serdyukov, I. Semchenko, S. Tretyakov, and A. Sihvola, Electromagnetics of Bi-anisotropic Materials: Theory and Applications (Gordon and Breach, 2001).

Sihvola, A.

A. Serdyukov, I. Semchenko, S. Tretyakov, and A. Sihvola, Electromagnetics of Bi-anisotropic Materials: Theory and Applications (Gordon and Breach, 2001).

Sihvola, A. H.

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

Silveirinha, M. G.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

Simovski, C. R.

S. A. Tretyakov, C. R. Simovski, and M. Hudlička, “Bianisotropic route to the realization and matching of backward-wave metamaterial slabs,” Phys. Rev. B 75, 153104 (2007).
[Crossref]

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

Sochava, A.

S. Tretyakov and A. Sochava, “Novel uniaxial bianisotropic materials: reflection and transmission in planar structures,” Prog. Electomag. Res. 9, 157–179 (1994).

Sochava, A. A.

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

Spinozzi, E.

A. Ciattoni and E. Spinozzi, “Optical resonances and angular filtering functionality of subwavelength hyperbolic etalons,” Optik 124, 3623–3626 (2013).
[Crossref]

C. Rizza, A. Ciattoni, E. Spinozzi, and L. Columbo, “Terahertz active spatial filtering through optically tunable hyperbolic metamaterials,” Opt. Lett. 37, 3345–3347 (2012).
[Crossref]

Tamir, T.

Teng, X.

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

Thomas, Z. M.

T. M. Grzegorczyk, Z. M. Thomas, and J. A. Kong, “Inversion of critical angle and Brewster angle in anisotropic left-handed metamaterials,” Appl. Phys. Lett 86, 251909 (2005).
[Crossref]

Tretyakov, S.

S. Tretyakov and A. Sochava, “Novel uniaxial bianisotropic materials: reflection and transmission in planar structures,” Prog. Electomag. Res. 9, 157–179 (1994).

A. Serdyukov, I. Semchenko, S. Tretyakov, and A. Sihvola, Electromagnetics of Bi-anisotropic Materials: Theory and Applications (Gordon and Breach, 2001).

Tretyakov, S. A.

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

S. A. Tretyakov, C. R. Simovski, and M. Hudlička, “Bianisotropic route to the realization and matching of backward-wave metamaterial slabs,” Phys. Rev. B 75, 153104 (2007).
[Crossref]

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

Tumkur, T.

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Upadhya, P. C.

Uslenghi, P. L. E.

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Dispersion relation for bianisotropic materials and its symmetry properties,” IEEE Trans. Antennas Propag. 39, 83–90 (1991).
[Crossref]

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Reflection and transmission for planar structures of bianisotropic media,” Electromagnetics 11, 193–208 (1991).
[Crossref]

Viitanen, A.

I. Lindell and A. Viitanen, “Plane wave propagation in uniaxial bianisotropic medium,” Electron. Lett. 29, 150–152 (1993).
[Crossref]

Wang, H.

Wang, L.

Wegener, M.

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

Weiglhofer, W. S.

W. S. Weiglhofer and A. Lakhtakia, Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003).
[Crossref]

Wu, B.-I.

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

Xu, X.-L.

Zhang, J.

Zhao, J.

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

Zich, R. E.

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Dispersion relation for bianisotropic materials and its symmetry properties,” IEEE Trans. Antennas Propag. 39, 83–90 (1991).
[Crossref]

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Reflection and transmission for planar structures of bianisotropic media,” Electromagnetics 11, 193–208 (1991).
[Crossref]

Appl. Phys. Lett (1)

T. M. Grzegorczyk, Z. M. Thomas, and J. A. Kong, “Inversion of critical angle and Brewster angle in anisotropic left-handed metamaterials,” Appl. Phys. Lett 86, 251909 (2005).
[Crossref]

Appl. Phys. Lett. (1)

L. V. Alekseyev, E. E. Narimanov, T. Tumkur, H. Li, Y. A. Barnakov, and M. A. Noginov, “Uniaxial epsilon-near-zero metamaterial for angular filtering and polarization control,” Appl. Phys. Lett. 97, 131107 (2010).
[Crossref]

Electromagnetics (2)

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Reflection and transmission for planar structures of bianisotropic media,” Electromagnetics 11, 193–208 (1991).
[Crossref]

I. V. Semchenko and S. A. Khakhomov, “Artificial uniaxial bianisotropic media at oblique incidence of electromagnetic waves,” Electromagnetics 22, 71–84 (2002).
[Crossref]

Electron. Lett. (1)

I. Lindell and A. Viitanen, “Plane wave propagation in uniaxial bianisotropic medium,” Electron. Lett. 29, 150–152 (1993).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

C. E. Kriegler, M. S. Rill, S. Linden, and M. Wegener, “Bianisotropic photonic metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 367–375 (2010).
[Crossref]

IEEE Microw. Wirel. Compon. Lett. (1)

J. Ortiz, J. Baena, V. Losada, F. Medina, and J. Araque, “Spatial angular filtering by fsss made of chains of interconnected SRRs and CSRRs,” IEEE Microw. Wirel. Compon. Lett. 23, 477–479 (2013).
[Crossref]

IEEE Trans. Antennas Propag. (2)

D. Kinowski, M. Guglielmi, and A. Roederer, “Angular bandpass filters: an alternative viewpoint gives improved design flexibility,” IEEE Trans. Antennas Propag. 43, 390–395 (1995).
[Crossref]

R. D. Graglia, P. L. E. Uslenghi, and R. E. Zich, “Dispersion relation for bianisotropic materials and its symmetry properties,” IEEE Trans. Antennas Propag. 39, 83–90 (1991).
[Crossref]

J. Appl. Phys. (1)

Y. Feng, X. Teng, J. Zhao, Y. Chen, and T. Jiang, “Anomalous reflection and refraction in anisotropic metamaterial realized by periodically loaded transmission line network,” J. Appl. Phys. 100, 114901 (2006).
[Crossref]

J. Electromagn. Waves Appl. (1)

S. A. Tretyakov, A. H. Sihvola, A. A. Sochava, and C. R. Simovski, “Magnetoelectric interactions in bianisotropic media,” J. Electromagn. Waves Appl. 12, 481–497 (1998).
[Crossref]

J. Opt. Soc. Am. (1)

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

J. Opt. Soc. Am. B (3)

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

I. V. Semchenko, S. A. Khakhomov, S. A. Tretyakov, A. H. Sihvola, and E. A. Fedosenko, “Reflection and transmission by a uniaxially bi-anisotropic slab under normal incidence of plane waves,” J. Phys. D-Appl. Phys. 31, 2458 (1998).
[Crossref]

Microw. Opt. Technol. Lett. (1)

M. M. I. Saadoun and N. Engheta, “A reciprocal phase shifter using novel pseudochiral or Ω medium,” Microw. Opt. Technol. Lett. 5, 184–188 (1992).
[Crossref]

New J. Phys. (1)

K. Aydin, Z. Li, M. Hudlička, S. A. Tretyakov, and E. Ozbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326 (2007).
[Crossref]

Opt. Express (2)

Opt. Lett. (2)

Optik (1)

A. Ciattoni and E. Spinozzi, “Optical resonances and angular filtering functionality of subwavelength hyperbolic etalons,” Optik 124, 3623–3626 (2013).
[Crossref]

Phys. Rev. B (5)

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75, 155410 (2007).
[Crossref]

R. Marqués, F. Medina, and R. Rafii-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

S. A. Tretyakov, C. R. Simovski, and M. Hudlička, “Bianisotropic route to the realization and matching of backward-wave metamaterial slabs,” Phys. Rev. B 75, 153104 (2007).
[Crossref]

X. Cheng, H. Chen, L. Ran, B.-I. Wu, T. M. Grzegorczyk, and J. A. Kong, “Negative refraction and cross polarization effects in metamaterial realized with bianisotropic S-ring resonator,” Phys. Rev. B 76, 024402 (2007).
[Crossref]

T. G. Mackay and A. Lakhtakia, “Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials,” Phys. Rev. B 79, 235121 (2009).
[Crossref]

Phys. Rev. E (1)

X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, “Retrieval of the effective constitutive parameters of bianisotropic metamaterials,” Phys. Rev. E 71, 046610 (2005).
[Crossref]

Proc. IEEE (1)

J. A. Kong, “Theorems of bianisotropic media,” Proc. IEEE 60, 1036–1046 (1972).
[Crossref]

Prog. Electomag. Res. (1)

S. Tretyakov and A. Sochava, “Novel uniaxial bianisotropic materials: reflection and transmission in planar structures,” Prog. Electomag. Res. 9, 157–179 (1994).

Other (2)

A. Serdyukov, I. Semchenko, S. Tretyakov, and A. Sihvola, Electromagnetics of Bi-anisotropic Materials: Theory and Applications (Gordon and Breach, 2001).

W. S. Weiglhofer and A. Lakhtakia, Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003).
[Crossref]

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Figures (6)

Fig. 1
Fig. 1 Equifrequency contours of the bianisotropic media with (a) elliptic-like dispersion, where εx = 2, εy = εz = 0.6, μx = μy = μz = 1, γ = 0.6, (b) hyperbolic-like dispersion, where εx = −1, εy = εz = 0.4, μx = −0.2, μy = μz = 0.7, γ = 0.6, and (c) mixed-type dispersion, where μz = 1.5, μy = 0.5, μx = −0.3, εx = εy = εz = 0.7, γ = 0.5. Blue and red lines are dispersion relations [Eq. (9)] with the plus and minus signs, respectively.
Fig. 2
Fig. 2 Equifrequency contours of the bianisotropic media with (a) εx = 2, εy = 1, εz = 0.6, μx = μy = μz = 1, γ = 1 and (b) εx = 1.5, ε = 0.5, εz = −0.5, μx = μy = 0.7, μz = 0.25, γ = 0.5.
Fig. 3
Fig. 3 Equifrequency contours of the bianisotropic media with two critical angles, where (a) εx = 2, εy = −0.2, εz = 0.8, μx = μy = μz = 1, and γ = 1.6 and (b) εx = −0.5, εy = 0.2, εz = 1, μx = μy = μz = 0.5, and γ = 0.2. Gray circles are the equifrequency contours in vacuum.
Fig. 4
Fig. 4 Equifrequency contours of the bianisotropic media in the presence of small loss, where (a) εx = 2 + 0.03i, εy = −0.2 + 0.02i, εz = 0.8 + 0.05i, μx = μy = μz = 1 + 0.06i, and γ = 1.6 + 0.04i and (b) εx = −0.5 + 0.03i, εy = 0.2 + 0.02i, εz = 1 + 0.05i, μx = μy = μz = 0.5 + 0.04i, and γ = 0.2 + 0.04i. Solid and dashed green lines are dispersion curves associated with Re[kz] and Im[kz], respectively. Gray lines are dispersion curves for the lossless case (cf. Fig. 3).
Fig. 5
Fig. 5 Power intensities for a p-polarized Gaussian beam incident from vacuum at (a) θ = 16° (b) θ = 20° and (c) θ = 30° onto the bianisotropic medium with εx = 2, εy = −0.35, εz = 0.3, μx = μy = μz = 0.7, and γ = 1.4. The intensities are normalized to have a maximum value of unity. White solid line denotes the interface.
Fig. 6
Fig. 6 Power intensities for a p-polarized Gaussian beam incident from vacuum at (a) θ = 15° (b) θ = 21° and (c) θ = 27° onto the bianisotropic medium with εx = −0.5, εy = 0.2, εz = 0.4, μx = μy = μz = 0.5, and γ = 0.2.

Equations (45)

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D = ε _ E + ξ _ H ,
B = μ _ H + ζ _ E ,
× μ _ 1 × E i ω × ( μ _ 1 ζ _ E ) + i ω ξ _ μ _ 1 × E ω 2 ( ε _ ξ _ μ _ 1 ζ _ ) E = 0 ,
× ε _ 1 × H i ω ζ _ ε _ 1 × H + i ω × ( ε _ 1 ξ _ H ) ω 2 ( μ _ ζ _ ε _ 1 ξ _ ) H = 0 ,
M _ = ( k × I _ + ω ξ _ ) μ _ 1 ( k × I _ ω ζ _ ) + ω 2 ε _ ,
N _ = ( k × I _ ω ζ _ ) ε _ 1 ( k × I _ + ω ξ _ ) + ω 2 μ _ ,
ξ _ = ε 0 μ 0 [ 0 0 i γ 0 0 0 0 0 0 ] , ζ _ = ε 0 μ 0 [ 0 0 0 0 0 0 i γ 0 0 ] ,
a k x 4 + b k z 4 + c k x 2 k z 2 + d k 0 2 k x 2 + e k 0 2 k z 2 + f k 0 4 = 0 ,
k 0 2 = C 1 k z 2 + C 2 k x 2 ± C 3 k 4 z + C 4 k x 4 + C 5 k x 2 k z 2 ,
k z ± = [ ( c k x 2 + e k 0 2 ) ± ( c k x 2 + e k 0 2 ) 2 4 b ( a k x 4 + d k 0 2 k x 2 + f k 0 4 ) 2 b ] 1 / 2 ,
e ± = k x 2 k 0 2 μ y ε z k x k z ± x ^ + i μ x ε z γ k 0 k z ± μ x ε x k x 2 + ( γ 2 μ z ε x ) ( k 0 2 μ x ε y ( k z ± ) 2 ) y ^ + z ^
h ± = i ( k x 2 k 0 2 ε z μ y ) ( ε x μ z γ 2 ) + μ z ε z ( k z ± ) 2 γ μ x k x 2 x ^ k 0 ε z k x y ^ + i ε z ( ( k z ± ) 2 k 0 2 μ y ε x ) + k x 2 ε x γ k x k z ± z ^ .
k z ± = k 0 μ x ε y + μ y ε x γ 2 μ y / μ z ± sign ( ε z ) | μ x ε y μ y ε x + γ 2 μ y / μ z | .
k z + = k 0 μ x ε y , k z = k 0 μ y ( ε x γ 2 / μ z ) .
e + = ( 0 , 1 , 0 ) , e = ( 1 , 0 , 0 ) ,
h + = ε y μ x ( 1 , 0 , 0 ) , h = ( 0 , k z k 0 μ y , i γ μ z ) .
E i = E i p ( cos θ x ^ sin θ z ^ ) + E i s y ^ ,
E r = E r p ( cos θ x ^ + sin θ z ^ ) + E r s y ^ ,
H i = E i p η 0 y ^ + E i s η 0 ( cos θ x ^ + sin θ z ^ ) ,
H r = E r p η 0 y ^ + E r s η 0 ( cos θ x ^ + sin θ z ^ ) ,
E t ± = E t ± e ± ,
H t ± = E t ± η 0 h ± ,
( E i + E r ) × z ^ = ( E t + + E t ) × z ^ ,
( H i + H r ) × z ^ = ( H t + + H t ) × z ^ ,
[ E r p E r s ] = [ r p p r p s r s p r s s ] [ E i p E i s ] ,
[ E t + E t ] = [ t + p t + s t p t s ] [ E i p E i s ] ,
r p p = s x x + cos θ ( e x y h x y s y y cos θ ) s x x + cos θ ( e x y + h x y + s y y cos θ ) , r p s = 2 s x y cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) ,
r s p = 2 s y x cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) , r s s = cos θ ( e x y + h x y + s y y cos θ ) s x x s x x + cos θ ( e x y + h x y + s y y cos θ ) ,
t + p = 2 ( h x e y cos θ ) cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) , t + s = 2 ( e x + h y cos θ ) cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) ,
t p = 2 ( e y + cos θ h x + ) cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) , t s = 2 ( e x + + h y + cos θ ) cos θ s x x + cos θ ( e x y + h x y + s y y cos θ ) ,
r p p = ε x k z 0 k z k z + ε x k z 0 , r s s = μ x k z 0 k z + k z + + μ x k z 0 , r p s = r s p = 0 ,
t p p = 2 ε x k z 0 k z + ε x k z 0 , t s s = 2 μ x k z 0 k z + + μ x k z 0 , t p s = t s p = 0 ,
r p p = η p η 0 η p + η 0 , r s s = η s η 0 η s + η 0 , r p s = r s p = 0 ,
t p p = 2 η p η p + η 0 , t s s = 2 η s η s + η 0 , t p s = t s p = 0 ,
θ c 1 = arcsin ( ω k 0 μ y ε z ) ,
θ c 2 = arcsin ( ω k 0 ( ε x μ z γ 2 ) ε y / ε x ) .
θ NR = arcsin ( ε z ρ + ε x 1 | γ ε z ( μ z ε x + μ x ε z γ 2 ) | σ γ 4 2 γ 2 ( ε z μ x + ε x μ z ) + ( ε z μ x ε x μ z ) 2 ) ,
f ( x , z ) = ψ ( k x ) e i k x x + i k z z d k x ,
ψ ( k x ) = w 0 2 cos θ π exp [ w 0 2 4 cos 2 θ ( k x k 0 sin θ ) 2 i k x x 0 + i k z h ] ,
E i p , s = E 0 p , s e i p , s ψ ( k x ) e i k x x + i k z z d k x , ,
H i p , s = E 0 p , s η 0 h i p , s ψ ( k x ) e i k x x + i k z z d k x ,
E r p , s = e r p , s R p , s ψ ( k x ) e i k x x i k z z d k x ,
H r p , s = 1 η 0 h r p , s R p , s ψ ( k x ) e i k x x i k z z d k x ,
E t ± = e t ± T ± ψ ( k x ) e i k x x + i k z ± z d k x ,
H t ± = 1 η 0 h t ± T ± ψ ( k x ) e i k x x + i k z ± z d k x ,

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