Abstract

In this paper, Dyakonov surface waves (Dyakonov SWs) existing at the interface between a semi-infinite isotropic medium and a conductor-backed uniaxial slab are analyzed with the help of an exponential-matrix method. The boundary conditions at the interface are formulated using eigenvalues and eigenvectors of two partnering media. Based on this, the existence region of Dyakonov SWs is formulated and proven to be highly dependent on the thickness of the uniaxial slab. Some relevant characteristics of the propagating Dyakonov SWs, such as the distribution of the propagation constant, and the electric- and magnetic-field distributions, are introduced and investigated. In addition, this method can be applied to analyze other finite thickness structures.

© 2014 Optical Society of America

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  1. J. Zenneck, “Über die Fortpflanzung ebener elektromagnetischer Wellen längs einer ebenen Lieterfläche und ihre Beziehung zur drahtlosen Telegraphie,” Ann. Phys. Lpz. 23, 846–866 (1907).
  2. M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).
  3. N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).
  4. D. B. Walker, E. N. Glytsis, and T. K. Gaylord, “Surface mode at isotropic-uniaxial and isotropic-biaxial interfaces,” J. Opt. Soc. Am. A 15, 248–260 (1998).
    [CrossRef]
  5. M. A. Morgan, D. L. Fisher, and E. A. Milne, “Electromagnetic scattering by stratified inhomogeneous anisotropic media,” IEEE Trans. Antennas Propag. 35, 191–197 (1987).
    [CrossRef]
  6. J. A. Polo, S. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
    [CrossRef]
  7. S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
    [CrossRef]
  8. J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
    [CrossRef]
  9. S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Electrical control of surface-wave propagation at the planar interface of a linear electro-optic material and an isotropic dielectric material,” Electromagnetics 28, 162–174 (2008).
    [CrossRef]
  10. J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 1–11 (2007).
  11. O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
    [CrossRef]
  12. O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
    [CrossRef]
  13. O. Takayama, A. Y. Nikitin, L. Martin-Moreno, L. Torner, and D. Artigas, “Dyakonov surface wave resonant transmission,” Opt. Express 19, 6339–6347 (2011).
    [CrossRef]
  14. O. Takayama, D. Artigas, and L. Torner, “Practical dyakonons,” Opt. Lett. 37, 4311–4313 (2012).
    [CrossRef]
  15. O. Takayama, D. Artigas, and L. Torner, “Coupling plasmons and dyakonons,” Opt. Lett. 37, 1983–1985 (2012).
    [CrossRef]
  16. W. Shu and J. M. Song, “Complete mode spectrum of a grounded dielectric slab with double negative metamaterials,” Progress Electromagn. Res. 65, 103–123 (2006).
  17. M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microw. Opt. Technol. Lett. 44, 494–498 (2005).
    [CrossRef]
  18. P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
    [CrossRef]
  19. S. H. Liu, L. Chen, and C. H. Liang, “Guided modes in a grounded slab waveguide of uniaxially anisotropic lefthanded material,” Microw. Opt. Technol. Lett. 49, 1644–1648 (2007).
    [CrossRef]
  20. S. Mirhadi and M. K. Hessari, “Surface waves suppression in a biaxially anisotropic metamaterial,” in Proceedings of Progress In Electromagnetics Research Symposium (2009), pp. 73–78.
  21. A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083–1104 (1988).
    [CrossRef]
  22. T. A. Maldonado and T. K. Gaylord, “Hybrid guided modes in biaxial planar waveguides,” J. Lightwave Technol. 14, 486–499 (1996).
    [CrossRef]
  23. H. Y. Yang, J. Castaneda, and N. Alexopoulos, “Surface wave modes of printed circuits on ferrite substrates,” IEEE Trans. Microwave Theor. Tech. 40, 613–621 (1992).
    [CrossRef]
  24. L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
    [CrossRef]
  25. L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
    [CrossRef]

2012 (2)

2011 (1)

2009 (1)

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

2008 (2)

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Electrical control of surface-wave propagation at the planar interface of a linear electro-optic material and an isotropic dielectric material,” Electromagnetics 28, 162–174 (2008).
[CrossRef]

2007 (4)

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 1–11 (2007).

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[CrossRef]

S. H. Liu, L. Chen, and C. H. Liang, “Guided modes in a grounded slab waveguide of uniaxially anisotropic lefthanded material,” Microw. Opt. Technol. Lett. 49, 1644–1648 (2007).
[CrossRef]

2006 (2)

J. A. Polo, S. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[CrossRef]

W. Shu and J. M. Song, “Complete mode spectrum of a grounded dielectric slab with double negative metamaterials,” Progress Electromagn. Res. 65, 103–123 (2006).

2005 (2)

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microw. Opt. Technol. Lett. 44, 494–498 (2005).
[CrossRef]

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

1998 (1)

1996 (1)

T. A. Maldonado and T. K. Gaylord, “Hybrid guided modes in biaxial planar waveguides,” J. Lightwave Technol. 14, 486–499 (1996).
[CrossRef]

1993 (2)

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

1992 (1)

H. Y. Yang, J. Castaneda, and N. Alexopoulos, “Surface wave modes of printed circuits on ferrite substrates,” IEEE Trans. Microwave Theor. Tech. 40, 613–621 (1992).
[CrossRef]

1990 (1)

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

1988 (2)

M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).

A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083–1104 (1988).
[CrossRef]

1987 (1)

M. A. Morgan, D. L. Fisher, and E. A. Milne, “Electromagnetic scattering by stratified inhomogeneous anisotropic media,” IEEE Trans. Antennas Propag. 35, 191–197 (1987).
[CrossRef]

1907 (1)

J. Zenneck, “Über die Fortpflanzung ebener elektromagnetischer Wellen längs einer ebenen Lieterfläche und ihre Beziehung zur drahtlosen Telegraphie,” Ann. Phys. Lpz. 23, 846–866 (1907).

Alexopoulos, N.

H. Y. Yang, J. Castaneda, and N. Alexopoulos, “Surface wave modes of printed circuits on ferrite substrates,” IEEE Trans. Microwave Theor. Tech. 40, 613–621 (1992).
[CrossRef]

Artigas, D.

O. Takayama, D. Artigas, and L. Torner, “Practical dyakonons,” Opt. Lett. 37, 4311–4313 (2012).
[CrossRef]

O. Takayama, D. Artigas, and L. Torner, “Coupling plasmons and dyakonons,” Opt. Lett. 37, 1983–1985 (2012).
[CrossRef]

O. Takayama, A. Y. Nikitin, L. Martin-Moreno, L. Torner, and D. Artigas, “Dyakonov surface wave resonant transmission,” Opt. Express 19, 6339–6347 (2011).
[CrossRef]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

Averkiev, N. S.

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

Baboiu, D. M.

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

Baccarelli, P.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Burghignoli, P.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Castaneda, J.

H. Y. Yang, J. Castaneda, and N. Alexopoulos, “Surface wave modes of printed circuits on ferrite substrates,” IEEE Trans. Microwave Theor. Tech. 40, 613–621 (1992).
[CrossRef]

Chen, L.

S. H. Liu, L. Chen, and C. H. Liang, “Guided modes in a grounded slab waveguide of uniaxially anisotropic lefthanded material,” Microw. Opt. Technol. Lett. 49, 1644–1648 (2007).
[CrossRef]

Chen, Z.

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microw. Opt. Technol. Lett. 44, 494–498 (2005).
[CrossRef]

Ciumac, M.

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

Crasovan, L.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

Dyakonov, M. I.

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).

Fisher, D. L.

M. A. Morgan, D. L. Fisher, and E. A. Milne, “Electromagnetic scattering by stratified inhomogeneous anisotropic media,” IEEE Trans. Antennas Propag. 35, 191–197 (1987).
[CrossRef]

Frezza, F.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Galli, A.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Gaylord, T. K.

D. B. Walker, E. N. Glytsis, and T. K. Gaylord, “Surface mode at isotropic-uniaxial and isotropic-biaxial interfaces,” J. Opt. Soc. Am. A 15, 248–260 (1998).
[CrossRef]

T. A. Maldonado and T. K. Gaylord, “Hybrid guided modes in biaxial planar waveguides,” J. Lightwave Technol. 14, 486–499 (1996).
[CrossRef]

A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083–1104 (1988).
[CrossRef]

Glytsis, E. N.

Hessari, M. K.

S. Mirhadi and M. K. Hessari, “Surface waves suppression in a biaxially anisotropic metamaterial,” in Proceedings of Progress In Electromagnetics Research Symposium (2009), pp. 73–78.

Johansen, S. K.

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

Knoesen, A.

A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083–1104 (1988).
[CrossRef]

Lakhtakia, A.

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Electrical control of surface-wave propagation at the planar interface of a linear electro-optic material and an isotropic dielectric material,” Electromagnetics 28, 162–174 (2008).
[CrossRef]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 1–11 (2007).

J. A. Polo, S. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[CrossRef]

Lampariello, P.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Lederer, F.

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

Liang, C. H.

S. H. Liu, L. Chen, and C. H. Liang, “Guided modes in a grounded slab waveguide of uniaxially anisotropic lefthanded material,” Microw. Opt. Technol. Lett. 49, 1644–1648 (2007).
[CrossRef]

Liu, S. H.

S. H. Liu, L. Chen, and C. H. Liang, “Guided modes in a grounded slab waveguide of uniaxially anisotropic lefthanded material,” Microw. Opt. Technol. Lett. 49, 1644–1648 (2007).
[CrossRef]

Lovat, G.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Maldonado, T. A.

T. A. Maldonado and T. K. Gaylord, “Hybrid guided modes in biaxial planar waveguides,” J. Lightwave Technol. 14, 486–499 (1996).
[CrossRef]

Martin-Moreno, L.

Mihalache, D.

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

Milne, E. A.

M. A. Morgan, D. L. Fisher, and E. A. Milne, “Electromagnetic scattering by stratified inhomogeneous anisotropic media,” IEEE Trans. Antennas Propag. 35, 191–197 (1987).
[CrossRef]

Mirhadi, S.

S. Mirhadi and M. K. Hessari, “Surface waves suppression in a biaxially anisotropic metamaterial,” in Proceedings of Progress In Electromagnetics Research Symposium (2009), pp. 73–78.

Moharam, M. G.

A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083–1104 (1988).
[CrossRef]

Morgan, M. A.

M. A. Morgan, D. L. Fisher, and E. A. Milne, “Electromagnetic scattering by stratified inhomogeneous anisotropic media,” IEEE Trans. Antennas Propag. 35, 191–197 (1987).
[CrossRef]

Nelatury, S.

J. A. Polo, S. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[CrossRef]

Nelatury, S. R.

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Electrical control of surface-wave propagation at the planar interface of a linear electro-optic material and an isotropic dielectric material,” Electromagnetics 28, 162–174 (2008).
[CrossRef]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 1–11 (2007).

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[CrossRef]

Nikitin, A. Y.

Paulotto, S.

P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theor. Tech. 53, 1431–1442 (2005).
[CrossRef]

Polo, J. A.

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Electrical control of surface-wave propagation at the planar interface of a linear electro-optic material and an isotropic dielectric material,” Electromagnetics 28, 162–174 (2008).
[CrossRef]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[CrossRef]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 1–11 (2007).

J. A. Polo, S. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[CrossRef]

Shu, W.

W. Shu and J. M. Song, “Complete mode spectrum of a grounded dielectric slab with double negative metamaterials,” Progress Electromagn. Res. 65, 103–123 (2006).

Song, J. M.

W. Shu and J. M. Song, “Complete mode spectrum of a grounded dielectric slab with double negative metamaterials,” Progress Electromagn. Res. 65, 103–123 (2006).

Suwailiam, M. M. B.

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microw. Opt. Technol. Lett. 44, 494–498 (2005).
[CrossRef]

Takayama, O.

O. Takayama, D. Artigas, and L. Torner, “Practical dyakonons,” Opt. Lett. 37, 4311–4313 (2012).
[CrossRef]

O. Takayama, D. Artigas, and L. Torner, “Coupling plasmons and dyakonons,” Opt. Lett. 37, 1983–1985 (2012).
[CrossRef]

O. Takayama, A. Y. Nikitin, L. Martin-Moreno, L. Torner, and D. Artigas, “Dyakonov surface wave resonant transmission,” Opt. Express 19, 6339–6347 (2011).
[CrossRef]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

Torner, L.

O. Takayama, D. Artigas, and L. Torner, “Practical dyakonons,” Opt. Lett. 37, 4311–4313 (2012).
[CrossRef]

O. Takayama, D. Artigas, and L. Torner, “Coupling plasmons and dyakonons,” Opt. Lett. 37, 1983–1985 (2012).
[CrossRef]

O. Takayama, A. Y. Nikitin, L. Martin-Moreno, L. Torner, and D. Artigas, “Dyakonov surface wave resonant transmission,” Opt. Express 19, 6339–6347 (2011).
[CrossRef]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

O. Takayama, L. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: a review,” Electromagnetics 28, 126–145 (2008).
[CrossRef]

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

Torres, J. P.

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

L. Torner, J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac, “Nonlinear hybrid waves guided by birefringent interfaces,” Electron. Lett. 29, 1186–1188 (1993).
[CrossRef]

Walker, D. B.

Yang, H. Y.

H. Y. Yang, J. Castaneda, and N. Alexopoulos, “Surface wave modes of printed circuits on ferrite substrates,” IEEE Trans. Microwave Theor. Tech. 40, 613–621 (1992).
[CrossRef]

Zenneck, J.

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Figures (7)

Fig. 1.
Fig. 1.

Geometry of the structure considered. Surface waves are supported at the interface of two different media, propagating along the +x axis.

Fig. 2.
Fig. 2.

Orientation of the optic axis c^ located at the interface (z=0 plane) of both media and at an angle θ (0<θ<π/2) with the +x axis.

Fig. 3.
Fig. 3.

qm(m=1,2,3) as a function of θ when d=3.5λ0 and d=4.5λ0 (εA=1.5692, εor=1.5202, and εex=1.7252). The black dashed–dotted/dashed lines represent the boundary values of the angular existence domain for d=3.5λ0/4.5λ0, respectively.

Fig. 4.
Fig. 4.

Variations of angle θ and the normalized propagation constant β with respect to the increase of height d for q1=0 and q2=0. The point P is the critical point at which Dyakonov SWs can exist at a minimum height (εA=1.5692, εor=1.5202, and εex=1.7252). The two black dashed–dotted lines are the boundary values of the angular existence domain when d is infinite.

Fig. 5.
Fig. 5.

Variations of the angular difference Δθ with respect to the increase of height d for εA=1.5382, 1.5562, 1.5692, 1.6342, and 1.6722 (εor=1.5202, εex=1.7252).

Fig. 6.
Fig. 6.

Variations of the angular difference Δθ with respect to the increase of the relative permittivity εA for d=3λ0, 3.5λ0, 4λ0, 4.5λ0, and 5λ0 (εor=1.5202, εex=1.7252).

Fig. 7.
Fig. 7.

Amplitude distributions of the transverse electric-field components in two partnering media for (a) amplitude of Ex component and (b) amplitude of Ey component. “O” and “E” waves denote ordinary and extraordinary waves, respectively. In this condition (εA=1.5692, εor=1.5202, εex=1.7252, and d=5λ0), the angular existence domain is Δθ=0.557°. The angle between the optic axis and the propagation direction is θ=31.63°, which corresponds to the location of point P.

Equations (31)

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ddzS(z)=jT¯¯·S(z),
S(z)=[a1a2a3a4][exp(jλ1z)exp(jλ2z)exp(jλ3z)exp(jλ4z)][D1D2D3D4],
S(z)=[a¯¯+a¯¯][exp(jλ¯¯+z)exp(jλ¯¯z)][D+D],
SA(z)=a¯¯+A[exp(jλ¯¯+Az)]D+A,
SB(z+d)=a¯¯Bexp[jλ¯¯B(z+d)]DB+a¯¯+Bexp[jλ¯¯+B(z+d)]R¯¯(d)DB,
det[a¯¯+Aa¯¯+Bexp(jλ¯¯+Bd)R¯¯(d)+a¯¯Bexp(jλ¯¯Bd)]=0.
ε¯¯r=[εexcos2θ+εorsin2θ(εorεex)cosθsinθ0(εorεex)cosθsinθεorcos2θ+εexsin2θ000εor].
λTE+A=λTM+A=(εAβ2)1/2,
aTE+A=[01λTE+A0],aTM+A=[λTE+A00εA].
λex±B=[εexβ2(εexcos2θ+εorsin2θ)/εor]1/2,
λor±B=(εorβ2)1/2,
aex±B=[(εorβ2)cosθεorsinθλex±Bεorsinθλex±Bεorcosθ],aor±B=[λor±Bsinθλor±Bcosθ(λor±B)2cosθεorsinθ].
R¯¯(d)=[11].
q1q3εA(q32NM)tanh(q2k0d)tanh(q3k0d)+(q34εANq12εorM)tanh(q2k0d)+q2q3(q12εorNεAM)tanh(q3k0d)+q1q2εor(q32NM)=0,
[tanh(Q)]/Q=(εexεA)/εex,
ETE=DTE[010]exp(q1k0z)exp[j(ωtβk0x)],
ETM=DTM[jq10β]exp(q1k0z)exp[j(ωtβk0x)],
HTE=DTEη0[jq10β]exp(q1k0z)exp[j(ωtβk0x)],
HTM=DTMη0[0εA0]exp(q1k0z)exp[j(ωtβk0x)].
Eor=Dor[jq3sinθsinh[q3k0(z+d)]jq3cosθsinh[q3k0(z+d)]βsinθcosh[q3k0(z+d)]]exp[j(ωtβk0x)],
Eex=Dex[(εorβ2)cosθsinh[q2k0(z+d)]εorsinθsinh[q2k0(z+d)]jq2βcosθcosh[q2k0(z+d)]]exp[j(ωtβk0x)],
Hor=Dorη0[q32cosθcosh[q3k0(z+d)]εorsinθcosh[q3k0(z+d)]jq3βcosθsinh[q3k0(z+d)]]exp[j(ωtβk0x)],
Hex=Dexη0[jq2εorsinθcosh[q2k0(z+d)]jq2εorcosθcosh[q2k0(z+d)]εorβsinθsinh[q2k0(z+d)]]exp[j(ωtβk0x)],
T¯¯=[εzxεzzpp(μyzμzzεzyεzz)k0(μyxμzxμyzμzz)p2k0εzz+k0(μyyμzyμyzμzz)0μxzμzzpk0(μzxμxzμzzμxx)k0(μzyμxzμzzμxy)k0(εyzεzxεzzεyx)p2k0μzz+k0(εyzεzyεzzεyy)μzxμzzpp(εyzεzzμzyμzz)k0(εxxεxzεzxεzz)k0(εxyεxzεzyεzz)0εxzεzzp],
SB(z+d)=n=14anexp[jλn(z+d)]Dn.
a11D1+a12D2+a13D3+a14D4=0,a21D1+a22D2+a23D3+a24D4=0,
[D1D2]=[R11R12R21R22][D3D4],
R¯¯(d)=[R11R12R21R22].
a11D1+a12D2+a13D3+a14D4=Zs(a41D1+a42D2+a43D3+a44D4),a21D1+a22D2+a23D3+a24D4=Zs(a31D1+a32D2+a33D3+a34D4).
[D1D2]=[R11R12R21R22][D3D4],
R¯¯(d)=[R11R12R21R22].

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