Abstract

Coupled mode theory in dielectric waveguides has been studied for parallel waveguides and for non-parallel waveguides, among bent and straight optical waveguides between two non-concentric bent waveguides or even between concentric ring waveguides. The last case is treated in this work. Results are compared to those obtained by using the finite element method (FEM). We studied the influence of the curvature radius, the separation distance between the waveguides and the refractive index of the inner waveguide in the energy transfer between waveguides. In particular, the mechanism of energy transfer between concentric waveguides was analyzed.

© 2013 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. R. Stoffer, K. R. Hiremath, M. Hammer, "Comparison of coupled mode theory and FDT simulations of coupling between bent and straight optical waveguides," Proc. AIP Int. School Quantum Electron. (2004) pp. 366-377.
  2. K. R. Hiremath, R. Stoffer, M. Hammer, "Coupled mode theory and FDT simulations of the coupling between bent and straight optical waveguides," Proc. Symp. IEEE/Leos Benelux Chapter (2003) pp. 33-36.
  3. L. Djaloshinski, M. Orenstein, "Disk and ring microcavity lasers and their concentric coupling," IEEE J. Quantum Electronics 35, 737-744 (1999).
  4. J. Ctyroký, I. Richter, M. Sinor, "Dual resonance in a waveguide-coupled ring microresonator," Opt. Quantum Electron. 38, 781-797 (2006).
  5. J. Torres, A. Baptista, V. M. Machado, "Analysis of dielectric ring slab waveguides with interband absortion," Proc. EUROCON (2011) pp. 1-6.
  6. J. Torres, A. Baptista, V. M. Machado, "Analysis of dielectric optical ring slab waveguides with a layred refractive index," Proc. 18th Telecommun. Forum, TELFOR (2010) pp. 910-913.
  7. J. Torres, A. Baptista, V. M. Machado, "Curvature losses of slab waveguides using analytical and FEM analysis," Proc. ODEF10 (2010) pp. 1-3.
  8. E. A. Marcatili, "Bends in optical dielectric guides," Bell Syst. Tech. J. 2103-2160 (1969).
  9. D. Marcuse, "Bending losses of the asymmetric slab waveguide," Bell Syst. Tech. J. 50, (1971).
  10. M. Heiblum, J. H. Harris, "Analysis of curved optical waveguides by conformal transformation," IEEE J. Quantum Electron. QE-11, 75-83 (1975).
  11. K. R. Hiremath, M. Hammer, R. Stoffer, L. Prkna, J. Ctyroky, "Analytic approach to dielectric bent slab waveguides," Opt. Quantum Electron. 37, 37-61 (2005).
  12. T. Yamamoto, M. Koshiba, "Numerical analysis of curvature loss in optical waveguides by the finite-element method," J. Lightw. Technol. 11, 1579-1583 (1993).
  13. D. Marcuse, "The coupling of degenerate modes in tow parallel dielectric waveguides," Bell Syst. Tech. J. 50, 1791-1815 (1971).
  14. A. Hardy, W. Streifer, "Coupled mode theory of parallel waveguides," J. Ligthw. Technol. LT-3, 1135-1146 (1985).
  15. H. A. Haus, W. P. Haung, S. Kawakami, N. A. Whitaker, "Coupled-mode theory of optical waveguides," J. Ligthw. Technol. LT-5, 16-23 (1987).
  16. B. E. Little, W. P. Huang, "Coupled-mode theory for optical waveguides," Progr. Electromagn. Res. Pier 10 217-270 (1995).
  17. H. A. Haus, Prentice-Hall Series in Solid State Physical Electronics .
  18. A. Yariv, "Critical Coupling and Its Control Optical Waveguide," Ring Resonator Syst. 14, (2002).
  19. M. A. McHenry, D. C. Chang, “Coupled mode theory of tow non-parallel dielectric waveguides,” Electromagnetics Lab. Dept. Electrical Eng., Univ, Colorado BoulderCOUSA Scientific Report no. 73.
  20. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1922).
  21. M. Kodama, "Algorithm 877: A subroutine package for cylindrical functions of complex order and nonnegative argument," ACM Trans. Math. Software 34, 1-21 (2008) Article 22.
  22. D. G. Rabus, Integrated Ring Resonators .

2008 (1)

M. Kodama, "Algorithm 877: A subroutine package for cylindrical functions of complex order and nonnegative argument," ACM Trans. Math. Software 34, 1-21 (2008) Article 22.

2006 (1)

J. Ctyroký, I. Richter, M. Sinor, "Dual resonance in a waveguide-coupled ring microresonator," Opt. Quantum Electron. 38, 781-797 (2006).

2005 (1)

K. R. Hiremath, M. Hammer, R. Stoffer, L. Prkna, J. Ctyroky, "Analytic approach to dielectric bent slab waveguides," Opt. Quantum Electron. 37, 37-61 (2005).

2002 (1)

A. Yariv, "Critical Coupling and Its Control Optical Waveguide," Ring Resonator Syst. 14, (2002).

1999 (1)

L. Djaloshinski, M. Orenstein, "Disk and ring microcavity lasers and their concentric coupling," IEEE J. Quantum Electronics 35, 737-744 (1999).

1995 (1)

B. E. Little, W. P. Huang, "Coupled-mode theory for optical waveguides," Progr. Electromagn. Res. Pier 10 217-270 (1995).

1993 (1)

T. Yamamoto, M. Koshiba, "Numerical analysis of curvature loss in optical waveguides by the finite-element method," J. Lightw. Technol. 11, 1579-1583 (1993).

1987 (1)

H. A. Haus, W. P. Haung, S. Kawakami, N. A. Whitaker, "Coupled-mode theory of optical waveguides," J. Ligthw. Technol. LT-5, 16-23 (1987).

1985 (1)

A. Hardy, W. Streifer, "Coupled mode theory of parallel waveguides," J. Ligthw. Technol. LT-3, 1135-1146 (1985).

1975 (1)

M. Heiblum, J. H. Harris, "Analysis of curved optical waveguides by conformal transformation," IEEE J. Quantum Electron. QE-11, 75-83 (1975).

1971 (2)

D. Marcuse, "The coupling of degenerate modes in tow parallel dielectric waveguides," Bell Syst. Tech. J. 50, 1791-1815 (1971).

D. Marcuse, "Bending losses of the asymmetric slab waveguide," Bell Syst. Tech. J. 50, (1971).

1969 (1)

E. A. Marcatili, "Bends in optical dielectric guides," Bell Syst. Tech. J. 2103-2160 (1969).

ACM Trans. Math. Software (1)

M. Kodama, "Algorithm 877: A subroutine package for cylindrical functions of complex order and nonnegative argument," ACM Trans. Math. Software 34, 1-21 (2008) Article 22.

Bell Syst. Tech. J. (1)

D. Marcuse, "The coupling of degenerate modes in tow parallel dielectric waveguides," Bell Syst. Tech. J. 50, 1791-1815 (1971).

Bell Syst. Tech. J. (2)

E. A. Marcatili, "Bends in optical dielectric guides," Bell Syst. Tech. J. 2103-2160 (1969).

D. Marcuse, "Bending losses of the asymmetric slab waveguide," Bell Syst. Tech. J. 50, (1971).

IEEE J. Quantum Electron. (1)

M. Heiblum, J. H. Harris, "Analysis of curved optical waveguides by conformal transformation," IEEE J. Quantum Electron. QE-11, 75-83 (1975).

IEEE J. Quantum Electronics (1)

L. Djaloshinski, M. Orenstein, "Disk and ring microcavity lasers and their concentric coupling," IEEE J. Quantum Electronics 35, 737-744 (1999).

J. Lightw. Technol. (1)

T. Yamamoto, M. Koshiba, "Numerical analysis of curvature loss in optical waveguides by the finite-element method," J. Lightw. Technol. 11, 1579-1583 (1993).

J. Ligthw. Technol. (2)

A. Hardy, W. Streifer, "Coupled mode theory of parallel waveguides," J. Ligthw. Technol. LT-3, 1135-1146 (1985).

H. A. Haus, W. P. Haung, S. Kawakami, N. A. Whitaker, "Coupled-mode theory of optical waveguides," J. Ligthw. Technol. LT-5, 16-23 (1987).

Opt. Quantum Electron. (2)

J. Ctyroký, I. Richter, M. Sinor, "Dual resonance in a waveguide-coupled ring microresonator," Opt. Quantum Electron. 38, 781-797 (2006).

K. R. Hiremath, M. Hammer, R. Stoffer, L. Prkna, J. Ctyroky, "Analytic approach to dielectric bent slab waveguides," Opt. Quantum Electron. 37, 37-61 (2005).

Progr. Electromagn. Res. Pier 10 (1)

B. E. Little, W. P. Huang, "Coupled-mode theory for optical waveguides," Progr. Electromagn. Res. Pier 10 217-270 (1995).

Ring Resonator Syst. (1)

A. Yariv, "Critical Coupling and Its Control Optical Waveguide," Ring Resonator Syst. 14, (2002).

Other (9)

M. A. McHenry, D. C. Chang, “Coupled mode theory of tow non-parallel dielectric waveguides,” Electromagnetics Lab. Dept. Electrical Eng., Univ, Colorado BoulderCOUSA Scientific Report no. 73.

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1922).

R. Stoffer, K. R. Hiremath, M. Hammer, "Comparison of coupled mode theory and FDT simulations of coupling between bent and straight optical waveguides," Proc. AIP Int. School Quantum Electron. (2004) pp. 366-377.

K. R. Hiremath, R. Stoffer, M. Hammer, "Coupled mode theory and FDT simulations of the coupling between bent and straight optical waveguides," Proc. Symp. IEEE/Leos Benelux Chapter (2003) pp. 33-36.

H. A. Haus, Prentice-Hall Series in Solid State Physical Electronics .

J. Torres, A. Baptista, V. M. Machado, "Analysis of dielectric ring slab waveguides with interband absortion," Proc. EUROCON (2011) pp. 1-6.

J. Torres, A. Baptista, V. M. Machado, "Analysis of dielectric optical ring slab waveguides with a layred refractive index," Proc. 18th Telecommun. Forum, TELFOR (2010) pp. 910-913.

J. Torres, A. Baptista, V. M. Machado, "Curvature losses of slab waveguides using analytical and FEM analysis," Proc. ODEF10 (2010) pp. 1-3.

D. G. Rabus, Integrated Ring Resonators .

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.