Abstract

The propagation of the long-range surface plasmon-polariton mode in waveguides comprised of a curved thin metal film of finite width embedded in a homogeneous background dielectric is described. The curve and its mode are modelled in cylindrical coordinates using a rigorous vectorial numerical method and an absorbing boundary condition is applied on the radiating side of the bend. From the results obtained, it is confirmed that long-range structures are not incompatible with bending and that reasonably small radii of curvature can be used.

© 2006 Optical Society of America

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References

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  1. S. E. Miller, “Integrated Optics: An Introduction,” Bell Syst. Tech. J. 48, 2059–2069 (1969).
  2. E.A.J. Marcatili, “Bends in Optical Dielectric Guides,” Bell Syst. Tech. J. 48, 2103–2132 (1969).
  3. P. Berini, “Plasmon polariton waves guided by thin lossy metal films of finite width: bound modes of symmetric structures,” Phys. Rev. B 61, 10484–10503 (2000).
    [Crossref]
  4. R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
    [Crossref]
  5. R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
    [Crossref]
  6. P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, “Characterization of long-range surface-plasmon-polariton waveguides,” J. Appl. Phys. 98, 043109 (2005).
    [Crossref]
  7. R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
    [Crossref]
  8. T. Nikolajsen, K. Leosson, and S.I. Bozhevolnyi, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85, 5833–5836 (2004).
    [Crossref]
  9. R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons,” Opt. Express 13, 977–984 (2005) http://www.opticsexpress.org/abstract.cfm?id=82563
    [Crossref] [PubMed]
  10. A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, “Integrated Optical Components Utilizing Long-Range Surface Plasmon Polaritons,” J. Lightwave Technol. 23, 413–422 (2005).
    [Crossref]
  11. R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
    [Crossref]
  12. H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
    [Crossref]
  13. R.E. Collin, Field theory of Guided Waves (IEEE Press, Piscataway, New Jersey, 1991).
  14. R. Pregla, “The Method of lines for the analysis of dielectric waveguide bends,” J. Lightwave Technol. 14, 634–639 (1996).
    [Crossref]
  15. J. Lu, “Modelling optical waveguide bends and application to plasmon-polariton waveguides,” M.A.Sc. Thesis, University of Ottawa, Ottawa, Canada, 2003.
  16. T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and application of radiation boundary operators,” IEEE Trans. Antennas Propag. 36, 1797–1812 (1988).
    [Crossref]
  17. R. Pregla, “MOL-BPM Method of lines Based Beam Propagation Method,” in Progress in Electromagnetics Research Vol. 11, J. A. Kong, Ed. (EMW Publishing, Cambridge, Mass., 1995).
  18. R. J. Deri and R. J. Hawkins, “Polarization, scattering, and coherent effects in semiconductor rib waveguide bends,” Opt. Lett. 13, 922–924 (1988).
    [Crossref] [PubMed]
  19. M. W. Austin, “GaAs/GaAlAs Curved rib waveguides,” IEEE J Quant. Elect. 18, 795–800 (1982).
    [Crossref]
  20. T. Yamamoto and M. Koshiba, “Numerical analysis of curvature loss in optical waveguides by the finite-element method,” J. Lightwave Technol. 11, 1579–1583 (1993).
    [Crossref]
  21. S. Kim and A. Gopinath, “Vector analysis of optical dielectric waveguide bends using finite-difference method,” J. Lightwave Technol. 14, 2085–2092 (1996).
    [Crossref]
  22. E. F. Kuester and D. C. Chang, “Surface-wave radiation loss form curved dielectric slabs and fibers,” IEEE J. Quant. Elect. 11, 903–907 (1975).
    [Crossref]
  23. B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
    [Crossref]
  24. J.-C Weeber, M. U. Gonzälez, A.-L. Baudrion, and A. Dereux, “Surface plasmon routing along right angle bent metal strips”, Appl. Phys. Lett. 87, 221101 (2005).
    [Crossref]
  25. A. Degiron and D. Smith, “Numerical simulations of long-range plasmons”, Opt. Express 141611–1625 (2006) http://www.opticsexpress.org/abstract.cfm?id=88076
    [Crossref] [PubMed]

2006 (4)

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

A. Degiron and D. Smith, “Numerical simulations of long-range plasmons”, Opt. Express 141611–1625 (2006) http://www.opticsexpress.org/abstract.cfm?id=88076
[Crossref] [PubMed]

2005 (4)

2004 (1)

T. Nikolajsen, K. Leosson, and S.I. Bozhevolnyi, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85, 5833–5836 (2004).
[Crossref]

2003 (1)

R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
[Crossref]

2000 (3)

P. Berini, “Plasmon polariton waves guided by thin lossy metal films of finite width: bound modes of symmetric structures,” Phys. Rev. B 61, 10484–10503 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
[Crossref]

1996 (2)

R. Pregla, “The Method of lines for the analysis of dielectric waveguide bends,” J. Lightwave Technol. 14, 634–639 (1996).
[Crossref]

S. Kim and A. Gopinath, “Vector analysis of optical dielectric waveguide bends using finite-difference method,” J. Lightwave Technol. 14, 2085–2092 (1996).
[Crossref]

1993 (1)

T. Yamamoto and M. Koshiba, “Numerical analysis of curvature loss in optical waveguides by the finite-element method,” J. Lightwave Technol. 11, 1579–1583 (1993).
[Crossref]

1988 (2)

R. J. Deri and R. J. Hawkins, “Polarization, scattering, and coherent effects in semiconductor rib waveguide bends,” Opt. Lett. 13, 922–924 (1988).
[Crossref] [PubMed]

T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and application of radiation boundary operators,” IEEE Trans. Antennas Propag. 36, 1797–1812 (1988).
[Crossref]

1982 (1)

M. W. Austin, “GaAs/GaAlAs Curved rib waveguides,” IEEE J Quant. Elect. 18, 795–800 (1982).
[Crossref]

1975 (1)

E. F. Kuester and D. C. Chang, “Surface-wave radiation loss form curved dielectric slabs and fibers,” IEEE J. Quant. Elect. 11, 903–907 (1975).
[Crossref]

1969 (2)

S. E. Miller, “Integrated Optics: An Introduction,” Bell Syst. Tech. J. 48, 2059–2069 (1969).

E.A.J. Marcatili, “Bends in Optical Dielectric Guides,” Bell Syst. Tech. J. 48, 2103–2132 (1969).

Aussenegg, F. R.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Austin, M. W.

M. W. Austin, “GaAs/GaAlAs Curved rib waveguides,” IEEE J Quant. Elect. 18, 795–800 (1982).
[Crossref]

Baudrion, A.-L.

J.-C Weeber, M. U. Gonzälez, A.-L. Baudrion, and A. Dereux, “Surface plasmon routing along right angle bent metal strips”, Appl. Phys. Lett. 87, 221101 (2005).
[Crossref]

Berini, P.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, “Characterization of long-range surface-plasmon-polariton waveguides,” J. Appl. Phys. 98, 043109 (2005).
[Crossref]

R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons,” Opt. Express 13, 977–984 (2005) http://www.opticsexpress.org/abstract.cfm?id=82563
[Crossref] [PubMed]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
[Crossref]

P. Berini, “Plasmon polariton waves guided by thin lossy metal films of finite width: bound modes of symmetric structures,” Phys. Rev. B 61, 10484–10503 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
[Crossref]

Berolo, E.

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
[Crossref]

Blaschak, J. G.

T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and application of radiation boundary operators,” IEEE Trans. Antennas Propag. 36, 1797–1812 (1988).
[Crossref]

Boltasseva, A.

Bozhevolnyi, S. I.

Bozhevolnyi, S.I.

T. Nikolajsen, K. Leosson, and S.I. Bozhevolnyi, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85, 5833–5836 (2004).
[Crossref]

R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
[Crossref]

Breukelaar, I.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

Chang, D. C.

E. F. Kuester and D. C. Chang, “Surface-wave radiation loss form curved dielectric slabs and fibers,” IEEE J. Quant. Elect. 11, 903–907 (1975).
[Crossref]

Charbonneau, R.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, “Characterization of long-range surface-plasmon-polariton waveguides,” J. Appl. Phys. 98, 043109 (2005).
[Crossref]

R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons,” Opt. Express 13, 977–984 (2005) http://www.opticsexpress.org/abstract.cfm?id=82563
[Crossref] [PubMed]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
[Crossref]

Collin, R.E.

R.E. Collin, Field theory of Guided Waves (IEEE Press, Piscataway, New Jersey, 1991).

Degiron, A.

Dereux, A.

J.-C Weeber, M. U. Gonzälez, A.-L. Baudrion, and A. Dereux, “Surface plasmon routing along right angle bent metal strips”, Appl. Phys. Lett. 87, 221101 (2005).
[Crossref]

Deri, R. J.

Ditlbacher, H.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Drezet, A.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Fafard, S.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

Gonzälez, M. U.

J.-C Weeber, M. U. Gonzälez, A.-L. Baudrion, and A. Dereux, “Surface plasmon routing along right angle bent metal strips”, Appl. Phys. Lett. 87, 221101 (2005).
[Crossref]

Gopinath, A.

S. Kim and A. Gopinath, “Vector analysis of optical dielectric waveguide bends using finite-difference method,” J. Lightwave Technol. 14, 2085–2092 (1996).
[Crossref]

Hawkins, R. J.

Hohenau, A.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Kim, K. C.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Kim, P. S.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Kim, S.

S. Kim and A. Gopinath, “Vector analysis of optical dielectric waveguide bends using finite-difference method,” J. Lightwave Technol. 14, 2085–2092 (1996).
[Crossref]

Kim, S. I.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Kjaer, K.

Koshiba, M.

T. Yamamoto and M. Koshiba, “Numerical analysis of curvature loss in optical waveguides by the finite-element method,” J. Lightwave Technol. 11, 1579–1583 (1993).
[Crossref]

Krenn, J. R.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Kriegsmann, G. A.

T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and application of radiation boundary operators,” IEEE Trans. Antennas Propag. 36, 1797–1812 (1988).
[Crossref]

Kuester, E. F.

E. F. Kuester and D. C. Chang, “Surface-wave radiation loss form curved dielectric slabs and fibers,” IEEE J. Quant. Elect. 11, 903–907 (1975).
[Crossref]

Lahoud, N.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, “Characterization of long-range surface-plasmon-polariton waveguides,” J. Appl. Phys. 98, 043109 (2005).
[Crossref]

R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons,” Opt. Express 13, 977–984 (2005) http://www.opticsexpress.org/abstract.cfm?id=82563
[Crossref] [PubMed]

Larsen, M. S.

Leitner, A.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Leosson, K.

A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, “Integrated Optical Components Utilizing Long-Range Surface Plasmon Polaritons,” J. Lightwave Technol. 23, 413–422 (2005).
[Crossref]

T. Nikolajsen, K. Leosson, and S.I. Bozhevolnyi, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85, 5833–5836 (2004).
[Crossref]

R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
[Crossref]

Lisicka-Shrzek, E.

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Long-range plasmon-polariton wave propagation in thin metal films of finite-width excited using an end-fire technique,” Proc. SPIE 4087, 534–540 (2000).
[Crossref]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, “Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width,” Opt. Lett. 25, 844–846 (2000).
[Crossref]

Lu, J.

J. Lu, “Modelling optical waveguide bends and application to plasmon-polariton waveguides,” M.A.Sc. Thesis, University of Ottawa, Ottawa, Canada, 2003.

Marcatili, E.A.J.

E.A.J. Marcatili, “Bends in Optical Dielectric Guides,” Bell Syst. Tech. J. 48, 2103–2132 (1969).

Mattiussi, G.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, “Characterization of long-range surface-plasmon-polariton waveguides,” J. Appl. Phys. 98, 043109 (2005).
[Crossref]

R. Charbonneau, N. Lahoud, G. Mattiussi, and P. Berini, “Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons,” Opt. Express 13, 977–984 (2005) http://www.opticsexpress.org/abstract.cfm?id=82563
[Crossref] [PubMed]

Miller, S. E.

S. E. Miller, “Integrated Optics: An Introduction,” Bell Syst. Tech. J. 48, 2059–2069 (1969).

Moore, T. G.

T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and application of radiation boundary operators,” IEEE Trans. Antennas Propag. 36, 1797–1812 (1988).
[Crossref]

Nikolajsen, R.

R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
[Crossref]

Nikolajsen, T.

A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, “Integrated Optical Components Utilizing Long-Range Surface Plasmon Polaritons,” J. Lightwave Technol. 23, 413–422 (2005).
[Crossref]

T. Nikolajsen, K. Leosson, and S.I. Bozhevolnyi, “Surface plasmon polariton based modulators and switches operating at telecom wavelengths,” Appl. Phys. Lett. 85, 5833–5836 (2004).
[Crossref]

Oh, C.-H.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Park, S.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Pregla, R.

R. Pregla, “The Method of lines for the analysis of dielectric waveguide bends,” J. Lightwave Technol. 14, 634–639 (1996).
[Crossref]

R. Pregla, “MOL-BPM Method of lines Based Beam Propagation Method,” in Progress in Electromagnetics Research Vol. 11, J. A. Kong, Ed. (EMW Publishing, Cambridge, Mass., 1995).

Salakhutdinov, I.

R. Nikolajsen, K. Leosson, I. Salakhutdinov, and S.I. Bozhevolnyi, “Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths,” Appl. Phys. Lett. 82, 668–670 (2003).
[Crossref]

Scales, C.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, “Passive integrated optics elements based on long-range surface plasmon-polaritons,” J Lightwave Technol. 24, 477–494 (2006).
[Crossref]

Smith, D.

Song, S. H.

H. S. Won, K. C. Kim, S. H. Song, C.-H. Oh, P. S. Kim, S. Park, and S. I. Kim, “Vertical coupling of long-range surface plasmon polaritons,” Appl. Phys. Lett. 88, 011110 (2006).
[Crossref]

Steinberger, B.

B. Steinberger, A. Hohenau, H. Ditlbacher, A. L. Stepanov, A. Drezet, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Dielectric stripes on gold as surface plasmon waveguides”, Appl. Phys. Lett. 88, 094104 (2006).
[Crossref]

Stepanov, A. L.

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Figures (3)

Fig. 1.
Fig. 1.

Curved waveguide in (a) cross-sectional and (b) top views.

Fig. 2.
Fig. 2.

(a) Insertion loss, (b) radiation loss and (c) Re{neff } of the ssb0 mode versus radius of curvature for w = 1 μm and t = 15 nm. (d) Summary of r0,opt and ILmin for all (w, t) cases considered.

Fig. 3.
Fig. 3.

Normalised contours of Re{Ez } of the ssb0 mode for w = 1 μm, t = 15 nm, (a) r0 = 1 m and (b) r0 = r0,opt . (c) Normalized distributions of Re{Ez } along a horizontal cut immediately above the metal for w = 1 μm, t = 15 nm and r0 = 1 m, 100 μm and 50 μm. (d) Summary of the transition loss at r0 = r0,opt for all (w, t) cases considered.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

× H = ε 0 ε r E
× E = μ 0 H
H = 0
( ε y E ) = 0
H = ε 0 × Π e
2 Π e ε r 1 ( ε r ) · Π e + ε r β 0 2 Π e = 0
E = ε r 1 × × Π e
α = 20 ( log 10 e ) θ Im ( β ϕ ) = 20 ( log 10 e ) θ r 0 β 0 Im ( n eff )

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